| [ | |
| { | |
| "image_path": "matrices/matrix_3x3_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 46. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 1)", | |
| "C": "(1, 2)", | |
| "D": "(2, 3)", | |
| "E": "(3, 1)", | |
| "F": "(3, 3)", | |
| "G": "(3, 2)", | |
| "B": "(1, 3)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 7 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 46?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 6. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 2)", | |
| "B": "(2, 1)", | |
| "C": "(2, 3)", | |
| "D": "(3, 2)", | |
| "F": "(1, 3)", | |
| "G": "(2, 2)", | |
| "E": "(3, 3)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 6 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 6?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 36. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 3)", | |
| "B": "(1, 2)", | |
| "C": "(1, 1)", | |
| "D": "(1, 3)", | |
| "E": "(3, 1)", | |
| "G": "(3, 3)", | |
| "F": "(2, 2)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 36 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 36?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 2. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(2, 2)", | |
| "C": "(3, 1)", | |
| "D": "(1, 3)", | |
| "E": "(3, 3)", | |
| "F": "(1, 2)", | |
| "G": "(3, 2)", | |
| "A": "(1, 1)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 43 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 2?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 23. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 2)", | |
| "B": "(2, 1)", | |
| "C": "(3, 2)", | |
| "D": "(2, 2)", | |
| "E": "(3, 1)", | |
| "F": "(2, 3)", | |
| "G": "(1, 1)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 26 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 23?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 49. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(2, 1)", | |
| "C": "(3, 1)", | |
| "D": "(1, 1)", | |
| "E": "(1, 3)", | |
| "G": "(2, 3)", | |
| "F": "(3, 2)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 28 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 49?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 33. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 1)", | |
| "C": "(1, 2)", | |
| "D": "(3, 3)", | |
| "E": "(2, 1)", | |
| "F": "(1, 1)", | |
| "G": "(1, 3)", | |
| "B": "(2, 3)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 22 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 33?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 38. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 1)", | |
| "B": "(1, 3)", | |
| "C": "(1, 2)", | |
| "D": "(3, 2)", | |
| "F": "(3, 3)", | |
| "G": "(2, 2)", | |
| "E": "(2, 1)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 38 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 38?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 6. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(1, 1)", | |
| "C": "(2, 1)", | |
| "E": "(2, 2)", | |
| "F": "(2, 3)", | |
| "G": "(3, 2)", | |
| "D": "(1, 3)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 44 equal to 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 6?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 12. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(3, 2)", | |
| "C": "(3, 1)", | |
| "E": "(2, 3)", | |
| "F": "(1, 3)", | |
| "G": "(1, 2)", | |
| "D": "(1, 1)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 7 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 12?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 41. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 3)", | |
| "B": "(2, 2)", | |
| "C": "(1, 1)", | |
| "D": "(3, 2)", | |
| "F": "(2, 3)", | |
| "G": "(3, 3)", | |
| "E": "(2, 1)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 29 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 41?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 45. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(1, 1)", | |
| "C": "(2, 3)", | |
| "D": "(2, 1)", | |
| "E": "(1, 2)", | |
| "F": "(3, 3)", | |
| "G": "(3, 2)", | |
| "A": "(2, 2)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 25 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 45?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 20. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(1, 1)", | |
| "C": "(3, 1)", | |
| "D": "(1, 3)", | |
| "E": "(2, 1)", | |
| "F": "(3, 3)", | |
| "G": "(2, 2)", | |
| "A": "(3, 2)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 23 equal to 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 20?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x3_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 48. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 3)", | |
| "B": "(1, 1)", | |
| "C": "(2, 2)", | |
| "E": "(3, 2)", | |
| "F": "(2, 1)", | |
| "G": "(1, 2)", | |
| "D": "(2, 3)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 26 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 48?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 22. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 2)", | |
| "C": "(2, 2)", | |
| "D": "(4, 3)", | |
| "E": "(4, 1)", | |
| "F": "(1, 1)", | |
| "G": "(1, 2)", | |
| "B": "(1, 3)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 31 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 22?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 37. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(3, 3)", | |
| "C": "(1, 1)", | |
| "D": "(1, 2)", | |
| "E": "(4, 2)", | |
| "F": "(3, 1)", | |
| "G": "(2, 3)", | |
| "A": "(2, 1)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 49 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 37?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 20. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(1, 1)", | |
| "C": "(2, 2)", | |
| "D": "(3, 2)", | |
| "E": "(1, 2)", | |
| "F": "(1, 3)", | |
| "G": "(2, 1)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 3 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 20?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 47. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 3)", | |
| "B": "(3, 3)", | |
| "C": "(2, 3)", | |
| "D": "(2, 2)", | |
| "F": "(4, 2)", | |
| "G": "(3, 2)", | |
| "E": "(1, 3)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 30 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 47?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 43. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 1)", | |
| "B": "(1, 2)", | |
| "C": "(2, 1)", | |
| "D": "(2, 2)", | |
| "E": "(3, 2)", | |
| "F": "(4, 3)", | |
| "G": "(3, 3)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 14 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 43?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 31. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 1)", | |
| "C": "(4, 2)", | |
| "D": "(3, 2)", | |
| "E": "(3, 3)", | |
| "F": "(2, 1)", | |
| "G": "(3, 1)", | |
| "B": "(2, 3)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 45 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 31?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 18. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 4)", | |
| "B": "(1, 4)", | |
| "C": "(3, 3)", | |
| "D": "(2, 1)", | |
| "E": "(1, 3)", | |
| "F": "(2, 2)", | |
| "G": "(1, 2)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 38 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 18?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 7. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 1)", | |
| "B": "(3, 2)", | |
| "C": "(2, 1)", | |
| "D": "(2, 3)", | |
| "F": "(2, 2)", | |
| "G": "(3, 1)", | |
| "E": "(1, 2)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 36 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 7?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 46. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 4)", | |
| "B": "(2, 1)", | |
| "C": "(1, 3)", | |
| "D": "(3, 2)", | |
| "E": "(3, 1)", | |
| "F": "(3, 4)", | |
| "G": "(2, 3)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 6 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 46?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 49. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(3, 3)", | |
| "C": "(1, 1)", | |
| "D": "(3, 2)", | |
| "E": "(2, 3)", | |
| "F": "(1, 2)", | |
| "G": "(4, 2)", | |
| "A": "(1, 3)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 49 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 49?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 17. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 1)", | |
| "B": "(1, 1)", | |
| "C": "(2, 3)", | |
| "D": "(3, 3)", | |
| "E": "(4, 2)", | |
| "G": "(2, 2)", | |
| "F": "(1, 3)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 8 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 17?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 2. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 2)", | |
| "B": "(2, 3)", | |
| "C": "(4, 3)", | |
| "D": "(1, 2)", | |
| "E": "(2, 1)", | |
| "G": "(4, 2)", | |
| "F": "(1, 1)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 6 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 2?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 45. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 1)", | |
| "C": "(3, 2)", | |
| "D": "(2, 3)", | |
| "E": "(2, 2)", | |
| "F": "(3, 3)", | |
| "G": "(4, 1)", | |
| "B": "(1, 3)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 32 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 45?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_3x4_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 32. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(2, 1)", | |
| "C": "(2, 2)", | |
| "D": "(3, 1)", | |
| "E": "(1, 2)", | |
| "F": "(1, 4)", | |
| "G": "(3, 3)", | |
| "A": "(1, 1)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 27 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 32?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 1. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "C": "(2, 2)", | |
| "D": "(4, 3)", | |
| "E": "(2, 1)", | |
| "F": "(4, 1)", | |
| "G": "(3, 1)", | |
| "B": "(3, 2)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 11 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 1?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 22. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 3)", | |
| "B": "(4, 2)", | |
| "D": "(4, 3)", | |
| "E": "(2, 2)", | |
| "F": "(3, 3)", | |
| "G": "(1, 3)", | |
| "C": "(2, 1)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 13 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 22?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 49. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 2)", | |
| "B": "(1, 1)", | |
| "D": "(1, 3)", | |
| "E": "(3, 4)", | |
| "F": "(3, 1)", | |
| "G": "(1, 2)", | |
| "C": "(2, 1)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 49 equal to 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 49?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 22. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 3)", | |
| "B": "(1, 3)", | |
| "C": "(3, 2)", | |
| "D": "(1, 2)", | |
| "E": "(2, 4)", | |
| "F": "(3, 3)", | |
| "G": "(1, 4)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 1 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 22?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 28. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 1)", | |
| "B": "(2, 4)", | |
| "D": "(3, 4)", | |
| "E": "(1, 4)", | |
| "F": "(2, 3)", | |
| "G": "(2, 2)", | |
| "C": "(1, 2)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 44 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 28?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 11. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 3)", | |
| "B": "(1, 1)", | |
| "C": "(3, 2)", | |
| "D": "(2, 2)", | |
| "E": "(4, 3)", | |
| "G": "(4, 2)", | |
| "F": "(3, 3)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 38 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 11?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 23. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 1)", | |
| "B": "(3, 3)", | |
| "C": "(1, 3)", | |
| "D": "(2, 3)", | |
| "F": "(2, 2)", | |
| "G": "(3, 1)", | |
| "E": "(4, 3)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 38 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 23?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 50. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 1)", | |
| "B": "(3, 2)", | |
| "C": "(3, 3)", | |
| "E": "(1, 3)", | |
| "F": "(1, 1)", | |
| "G": "(2, 2)", | |
| "D": "(1, 2)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 13 equal to 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 50?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 11. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 2)", | |
| "B": "(1, 2)", | |
| "C": "(2, 3)", | |
| "D": "(3, 1)", | |
| "E": "(3, 3)", | |
| "G": "(2, 4)", | |
| "F": "(2, 1)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 34 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 11?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 30. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 2)", | |
| "B": "(4, 2)", | |
| "C": "(4, 1)", | |
| "D": "(2, 3)", | |
| "E": "(1, 1)", | |
| "G": "(1, 2)", | |
| "F": "(3, 2)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 30 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 30?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 3. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 1)", | |
| "B": "(3, 1)", | |
| "C": "(3, 2)", | |
| "D": "(2, 4)", | |
| "E": "(2, 3)", | |
| "F": "(3, 3)", | |
| "G": "(2, 2)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 42 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 3?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 27. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 3)", | |
| "B": "(3, 3)", | |
| "D": "(1, 4)", | |
| "E": "(1, 1)", | |
| "F": "(2, 2)", | |
| "G": "(3, 1)", | |
| "C": "(3, 4)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 14 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 27?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 22. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 3)", | |
| "B": "(1, 3)", | |
| "C": "(2, 1)", | |
| "D": "(3, 4)", | |
| "E": "(2, 2)", | |
| "G": "(1, 4)", | |
| "F": "(3, 3)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 3 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 4 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 37 equal to 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 22?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x3_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 23. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 2)", | |
| "B": "(1, 3)", | |
| "C": "(3, 1)", | |
| "D": "(4, 1)", | |
| "F": "(1, 1)", | |
| "G": "(1, 2)", | |
| "E": "(2, 3)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 3 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 1 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 23?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 26. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 4)", | |
| "B": "(3, 3)", | |
| "C": "(4, 3)", | |
| "D": "(1, 3)", | |
| "F": "(2, 3)", | |
| "G": "(1, 2)", | |
| "E": "(1, 4)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 43 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 26?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 22. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 3)", | |
| "B": "(4, 1)", | |
| "D": "(2, 4)", | |
| "E": "(4, 4)", | |
| "F": "(1, 2)", | |
| "G": "(4, 3)", | |
| "C": "(1, 4)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 45 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 22?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 42. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 4)", | |
| "C": "(2, 2)", | |
| "D": "(3, 3)", | |
| "E": "(4, 1)", | |
| "F": "(4, 3)", | |
| "G": "(1, 1)", | |
| "B": "(2, 1)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 9 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 42?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 47. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 3)", | |
| "B": "(4, 3)", | |
| "C": "(3, 4)", | |
| "D": "(4, 4)", | |
| "F": "(1, 1)", | |
| "G": "(1, 3)", | |
| "E": "(2, 2)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 44 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 47?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 25. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(2, 1)", | |
| "C": "(1, 2)", | |
| "D": "(2, 3)", | |
| "F": "(4, 4)", | |
| "G": "(2, 4)", | |
| "E": "(3, 4)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 34 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 25?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 49. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 3)", | |
| "B": "(3, 4)", | |
| "C": "(1, 4)", | |
| "D": "(4, 4)", | |
| "F": "(2, 1)", | |
| "G": "(4, 2)", | |
| "E": "(3, 1)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 20 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 49?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 3. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 1)", | |
| "C": "(4, 3)", | |
| "D": "(2, 4)", | |
| "E": "(2, 2)", | |
| "F": "(3, 4)", | |
| "G": "(3, 3)", | |
| "B": "(1, 3)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 41 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 3?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 7. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 2)", | |
| "B": "(1, 2)", | |
| "C": "(3, 2)", | |
| "E": "(1, 3)", | |
| "F": "(4, 4)", | |
| "G": "(3, 4)", | |
| "D": "(2, 2)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 20 equal to 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 7?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 45. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 1)", | |
| "B": "(4, 3)", | |
| "C": "(3, 1)", | |
| "D": "(1, 3)", | |
| "F": "(4, 1)", | |
| "G": "(1, 2)", | |
| "E": "(2, 2)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 32 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 45?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 25. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(1, 4)", | |
| "C": "(1, 1)", | |
| "E": "(3, 1)", | |
| "F": "(2, 3)", | |
| "G": "(3, 2)", | |
| "D": "(1, 3)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 19 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 25?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 43. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 1)", | |
| "B": "(4, 3)", | |
| "C": "(3, 4)", | |
| "E": "(2, 3)", | |
| "F": "(1, 3)", | |
| "G": "(4, 2)", | |
| "D": "(1, 2)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 40 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 43?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 23. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 2)", | |
| "B": "(4, 1)", | |
| "C": "(3, 4)", | |
| "E": "(4, 3)", | |
| "F": "(4, 4)", | |
| "G": "(1, 2)", | |
| "D": "(2, 3)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 45 equal to 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 23?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 5. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 1)", | |
| "B": "(1, 3)", | |
| "D": "(4, 4)", | |
| "E": "(3, 3)", | |
| "F": "(4, 2)", | |
| "G": "(2, 4)", | |
| "C": "(2, 2)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 35 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 5?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x4_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 31. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 4)", | |
| "B": "(3, 3)", | |
| "C": "(2, 1)", | |
| "E": "(3, 2)", | |
| "F": "(2, 4)", | |
| "G": "(4, 4)", | |
| "D": "(1, 3)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 31 equal to 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 31?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 46. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(2, 1)", | |
| "C": "(1, 2)", | |
| "D": "(2, 3)", | |
| "F": "(4, 3)", | |
| "G": "(3, 2)", | |
| "E": "(4, 2)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 5 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 46 equal to 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 46?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 6. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(1, 2)", | |
| "C": "(1, 4)", | |
| "D": "(3, 3)", | |
| "E": "(3, 2)", | |
| "F": "(2, 4)", | |
| "G": "(2, 3)", | |
| "A": "(4, 3)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 31 equal to 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 6?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 41. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 2)", | |
| "B": "(4, 1)", | |
| "C": "(1, 2)", | |
| "D": "(5, 4)", | |
| "E": "(4, 2)", | |
| "G": "(5, 1)", | |
| "F": "(2, 1)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 16 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 41?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 22. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 2)", | |
| "B": "(5, 4)", | |
| "C": "(2, 4)", | |
| "D": "(3, 4)", | |
| "F": "(3, 3)", | |
| "G": "(3, 2)", | |
| "E": "(1, 3)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 9 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 22?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 36. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 3)", | |
| "B": "(3, 4)", | |
| "C": "(2, 3)", | |
| "D": "(1, 3)", | |
| "F": "(4, 4)", | |
| "G": "(3, 3)", | |
| "E": "(1, 1)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 34 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 36?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 3. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(2, 3)", | |
| "C": "(4, 4)", | |
| "D": "(1, 1)", | |
| "E": "(3, 3)", | |
| "F": "(3, 2)", | |
| "G": "(2, 5)", | |
| "A": "(3, 5)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 5 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 48 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 3?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 12. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 3)", | |
| "B": "(1, 2)", | |
| "C": "(5, 1)", | |
| "E": "(3, 3)", | |
| "F": "(5, 4)", | |
| "G": "(2, 4)", | |
| "D": "(2, 3)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 21 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 12?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 8. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 3)", | |
| "B": "(3, 1)", | |
| "C": "(4, 3)", | |
| "D": "(3, 4)", | |
| "E": "(4, 1)", | |
| "G": "(5, 2)", | |
| "F": "(5, 4)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 11 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 8?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 26. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 2)", | |
| "B": "(1, 3)", | |
| "D": "(2, 3)", | |
| "E": "(3, 3)", | |
| "F": "(2, 2)", | |
| "G": "(5, 1)", | |
| "C": "(1, 4)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 3 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 31 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 26?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 36. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(1, 1)", | |
| "C": "(3, 1)", | |
| "D": "(2, 3)", | |
| "E": "(3, 3)", | |
| "F": "(4, 2)", | |
| "G": "(2, 4)", | |
| "A": "(5, 4)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 4 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 50 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 36?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 10. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 4)", | |
| "B": "(1, 2)", | |
| "C": "(5, 3)", | |
| "D": "(1, 4)", | |
| "F": "(2, 4)", | |
| "G": "(3, 3)", | |
| "E": "(5, 2)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 2 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 22 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 10?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 3. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 4)", | |
| "B": "(4, 3)", | |
| "D": "(2, 4)", | |
| "E": "(1, 1)", | |
| "F": "(3, 4)", | |
| "G": "(2, 3)", | |
| "C": "(5, 1)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 30 equal to 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 3?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 39. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 5)", | |
| "B": "(3, 4)", | |
| "C": "(1, 4)", | |
| "E": "(4, 2)", | |
| "F": "(2, 2)", | |
| "G": "(4, 5)", | |
| "D": "(2, 1)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 17 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 5 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 39?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_4x5_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 43. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(3, 1)", | |
| "C": "(4, 3)", | |
| "D": "(3, 2)", | |
| "E": "(4, 2)", | |
| "G": "(4, 4)", | |
| "F": "(2, 1)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 34 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 43?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 20. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 4)", | |
| "B": "(4, 5)", | |
| "C": "(2, 3)", | |
| "D": "(2, 2)", | |
| "E": "(1, 5)", | |
| "F": "(1, 1)", | |
| "G": "(1, 4)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 5 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 4 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 39 equal to 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 20?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 41. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 1)", | |
| "B": "(4, 2)", | |
| "D": "(2, 1)", | |
| "E": "(5, 4)", | |
| "F": "(3, 2)", | |
| "G": "(3, 3)", | |
| "C": "(2, 3)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 1 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 9 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 41?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 3. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 3)", | |
| "C": "(2, 4)", | |
| "D": "(2, 2)", | |
| "E": "(4, 4)", | |
| "F": "(1, 2)", | |
| "G": "(1, 3)", | |
| "B": "(3, 4)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 8 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 3?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 44. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 3)", | |
| "B": "(2, 4)", | |
| "C": "(2, 3)", | |
| "E": "(1, 2)", | |
| "F": "(2, 5)", | |
| "G": "(3, 2)", | |
| "D": "(3, 3)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 5 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 11 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 44?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 19. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(2, 2)", | |
| "C": "(1, 3)", | |
| "D": "(3, 1)", | |
| "E": "(3, 4)", | |
| "F": "(4, 3)", | |
| "G": "(3, 3)", | |
| "A": "(4, 4)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 2 equal to 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 1 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 19?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 50. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(2, 5)", | |
| "C": "(4, 2)", | |
| "D": "(1, 1)", | |
| "E": "(3, 3)", | |
| "F": "(1, 4)", | |
| "G": "(3, 1)", | |
| "A": "(2, 3)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 5 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 33 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 50?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 23. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(2, 3)", | |
| "C": "(1, 3)", | |
| "D": "(4, 3)", | |
| "E": "(4, 4)", | |
| "F": "(2, 4)", | |
| "G": "(2, 5)", | |
| "A": "(1, 5)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 5 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 10 equal to 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 23?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 5. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 2)", | |
| "B": "(1, 1)", | |
| "D": "(3, 3)", | |
| "E": "(4, 1)", | |
| "F": "(4, 5)", | |
| "G": "(3, 1)", | |
| "C": "(1, 5)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 5 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 11 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 5?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 9. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 5)", | |
| "C": "(1, 3)", | |
| "D": "(1, 5)", | |
| "E": "(4, 4)", | |
| "F": "(3, 2)", | |
| "G": "(1, 2)", | |
| "B": "(4, 2)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 5 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 24 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 5 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 9?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 46. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 3)", | |
| "B": "(1, 4)", | |
| "C": "(1, 1)", | |
| "D": "(2, 4)", | |
| "F": "(3, 1)", | |
| "G": "(1, 5)", | |
| "E": "(1, 2)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 30 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 46?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 19. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 4)", | |
| "B": "(2, 1)", | |
| "C": "(1, 1)", | |
| "D": "(3, 4)", | |
| "E": "(4, 1)", | |
| "F": "(4, 5)", | |
| "G": "(4, 3)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 5 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 4 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 4 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 5 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 19?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 48. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(4, 1)", | |
| "C": "(1, 2)", | |
| "D": "(3, 2)", | |
| "E": "(1, 3)", | |
| "F": "(2, 5)", | |
| "G": "(2, 3)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 49 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 5 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 48?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 13. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 1)", | |
| "B": "(3, 2)", | |
| "C": "(2, 4)", | |
| "D": "(5, 3)", | |
| "E": "(3, 3)", | |
| "F": "(2, 3)", | |
| "G": "(4, 3)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 4 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 49 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 13?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x4_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 27. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 2)", | |
| "B": "(2, 3)", | |
| "D": "(3, 4)", | |
| "E": "(1, 5)", | |
| "F": "(4, 5)", | |
| "G": "(3, 1)", | |
| "C": "(3, 3)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 4 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 5 equal to 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 7 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 27?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 2. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 5)", | |
| "B": "(5, 3)", | |
| "C": "(4, 4)", | |
| "D": "(4, 2)", | |
| "F": "(1, 1)", | |
| "G": "(5, 2)", | |
| "E": "(1, 5)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 5 equal to 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 35 equal to 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 2?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 12. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 3)", | |
| "B": "(1, 3)", | |
| "C": "(5, 2)", | |
| "E": "(1, 2)", | |
| "F": "(5, 4)", | |
| "G": "(5, 5)", | |
| "D": "(4, 3)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 5 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 17 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 12?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 41. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 5)", | |
| "B": "(3, 3)", | |
| "C": "(1, 5)", | |
| "D": "(1, 1)", | |
| "E": "(2, 2)", | |
| "G": "(3, 1)", | |
| "F": "(4, 1)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 42 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 41?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 5. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 4)", | |
| "B": "(3, 3)", | |
| "C": "(1, 3)", | |
| "D": "(3, 4)", | |
| "F": "(2, 1)", | |
| "G": "(5, 5)", | |
| "E": "(5, 3)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 5 equal to 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 4 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 21 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 5?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 34. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 2)", | |
| "B": "(1, 4)", | |
| "C": "(1, 1)", | |
| "D": "(1, 3)", | |
| "E": "(5, 3)", | |
| "F": "(4, 4)", | |
| "G": "(4, 1)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 5 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 10 equal to 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 34?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 25. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 1)", | |
| "B": "(4, 5)", | |
| "C": "(2, 2)", | |
| "D": "(2, 3)", | |
| "E": "(2, 4)", | |
| "F": "(4, 1)", | |
| "G": "(5, 3)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 4 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 45 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 25?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 28. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 2)", | |
| "B": "(3, 3)", | |
| "D": "(5, 5)", | |
| "E": "(4, 5)", | |
| "F": "(1, 4)", | |
| "G": "(2, 4)", | |
| "C": "(3, 4)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 5 equal to 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 5 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 32 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 5 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 28?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 13. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 1)", | |
| "B": "(3, 3)", | |
| "C": "(1, 3)", | |
| "D": "(1, 4)", | |
| "E": "(4, 4)", | |
| "G": "(5, 4)", | |
| "F": "(1, 5)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 16 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 13?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 7. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 3)", | |
| "C": "(2, 5)", | |
| "D": "(3, 5)", | |
| "E": "(1, 4)", | |
| "F": "(4, 2)", | |
| "G": "(1, 1)", | |
| "B": "(3, 2)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 5 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 15 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 7?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 16. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(5, 3)", | |
| "C": "(5, 2)", | |
| "D": "(3, 4)", | |
| "E": "(3, 3)", | |
| "F": "(2, 3)", | |
| "G": "(2, 1)", | |
| "A": "(4, 2)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 23 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 16?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 21. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(5, 4)", | |
| "C": "(2, 5)", | |
| "D": "(4, 5)", | |
| "E": "(2, 1)", | |
| "F": "(5, 1)", | |
| "G": "(4, 1)", | |
| "A": "(3, 3)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 3 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 5 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 18 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 21?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 5. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(4, 2)", | |
| "D": "(1, 2)", | |
| "E": "(2, 1)", | |
| "F": "(3, 4)", | |
| "G": "(2, 3)", | |
| "C": "(1, 1)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 2 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 48 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 5?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 4. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 2)", | |
| "C": "(3, 4)", | |
| "D": "(5, 4)", | |
| "E": "(4, 3)", | |
| "F": "(3, 5)", | |
| "G": "(1, 4)", | |
| "B": "(5, 5)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 5 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 36 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 4?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x5_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 34. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 5)", | |
| "C": "(5, 5)", | |
| "D": "(2, 1)", | |
| "E": "(1, 3)", | |
| "F": "(5, 1)", | |
| "G": "(3, 5)", | |
| "B": "(1, 1)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 5 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 23 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 34?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 22. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(3, 4)", | |
| "C": "(2, 2)", | |
| "D": "(6, 5)", | |
| "E": "(4, 2)", | |
| "F": "(2, 4)", | |
| "G": "(6, 3)", | |
| "A": "(3, 5)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 3 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 22 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 22?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 7. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 1)", | |
| "B": "(2, 5)", | |
| "D": "(2, 3)", | |
| "E": "(5, 3)", | |
| "F": "(3, 3)", | |
| "G": "(5, 4)", | |
| "C": "(6, 2)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 3 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 1 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 21 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 7?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 44. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 1)", | |
| "B": "(4, 2)", | |
| "C": "(5, 1)", | |
| "E": "(4, 4)", | |
| "F": "(1, 1)", | |
| "G": "(4, 5)", | |
| "D": "(6, 2)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 4 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 24 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 6, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 44?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 25. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 4)", | |
| "B": "(2, 3)", | |
| "D": "(5, 5)", | |
| "E": "(4, 3)", | |
| "F": "(5, 1)", | |
| "G": "(3, 1)", | |
| "C": "(2, 2)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 5 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 5 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 14 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 25?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 13. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(3, 4)", | |
| "C": "(1, 3)", | |
| "D": "(5, 4)", | |
| "E": "(4, 4)", | |
| "F": "(5, 2)", | |
| "G": "(3, 5)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 5 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 4 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 16 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 13?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 50. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 2)", | |
| "B": "(1, 1)", | |
| "C": "(3, 2)", | |
| "D": "(2, 1)", | |
| "E": "(4, 1)", | |
| "G": "(5, 5)", | |
| "F": "(6, 4)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 5 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 1 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 39 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 50?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 37. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(1, 1)", | |
| "C": "(2, 4)", | |
| "D": "(4, 3)", | |
| "E": "(6, 3)", | |
| "F": "(1, 3)", | |
| "G": "(6, 4)", | |
| "A": "(1, 2)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 5 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 1 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 19 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 37?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 45. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 1)", | |
| "C": "(2, 4)", | |
| "D": "(5, 1)", | |
| "E": "(4, 2)", | |
| "F": "(2, 1)", | |
| "G": "(5, 4)", | |
| "B": "(2, 6)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 1 equal to 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 4 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 45?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 3. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 5)", | |
| "B": "(5, 5)", | |
| "C": "(3, 5)", | |
| "E": "(3, 2)", | |
| "F": "(1, 3)", | |
| "G": "(5, 4)", | |
| "D": "(4, 1)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 4 equal to 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 5 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 23 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 5 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 3?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 13. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(4, 1)", | |
| "C": "(3, 1)", | |
| "D": "(4, 4)", | |
| "E": "(6, 1)", | |
| "F": "(2, 3)", | |
| "G": "(1, 2)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 1 equal to 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 3 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 29 equal to 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 6, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 13?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 14. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 5)", | |
| "B": "(1, 1)", | |
| "C": "(2, 2)", | |
| "D": "(5, 4)", | |
| "E": "(5, 2)", | |
| "F": "(1, 2)", | |
| "G": "(4, 6)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 5 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 1 equal to 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 13 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 14?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 16. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 2)", | |
| "C": "(4, 3)", | |
| "D": "(4, 4)", | |
| "E": "(2, 2)", | |
| "F": "(5, 4)", | |
| "G": "(5, 5)", | |
| "B": "(2, 5)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 6 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 8 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 16?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 28. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 4)", | |
| "B": "(6, 1)", | |
| "C": "(2, 1)", | |
| "D": "(2, 3)", | |
| "E": "(4, 5)", | |
| "F": "(6, 3)", | |
| "G": "(3, 1)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 34 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 5 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 28?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_5x6_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 32. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(6, 2)", | |
| "C": "(2, 1)", | |
| "D": "(3, 2)", | |
| "E": "(5, 4)", | |
| "F": "(2, 2)", | |
| "G": "(1, 5)", | |
| "B": "(2, 3)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 2 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 2 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 3 equal to 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 15 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 32?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 21. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(5, 1)", | |
| "C": "(1, 6)", | |
| "D": "(4, 2)", | |
| "E": "(1, 5)", | |
| "F": "(4, 6)", | |
| "G": "(1, 1)", | |
| "A": "(3, 4)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 4 equal to 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 48 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 21?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 14. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(3, 5)", | |
| "C": "(3, 3)", | |
| "D": "(4, 2)", | |
| "E": "(4, 4)", | |
| "F": "(2, 1)", | |
| "G": "(3, 4)", | |
| "A": "(3, 2)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 4 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 14?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 14. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 5)", | |
| "B": "(5, 3)", | |
| "C": "(2, 4)", | |
| "D": "(5, 5)", | |
| "E": "(6, 5)", | |
| "G": "(4, 4)", | |
| "F": "(3, 1)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 3 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 5 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 31 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 14?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 3. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(6, 3)", | |
| "B": "(6, 4)", | |
| "C": "(2, 2)", | |
| "D": "(3, 3)", | |
| "E": "(3, 4)", | |
| "F": "(6, 5)", | |
| "G": "(1, 1)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 1 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 14 equal to 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 3?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 3. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 4)", | |
| "B": "(1, 6)", | |
| "C": "(4, 5)", | |
| "D": "(5, 2)", | |
| "F": "(3, 4)", | |
| "G": "(4, 3)", | |
| "E": "(1, 5)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 2 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 4 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 13 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 3?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 41. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(6, 2)", | |
| "B": "(6, 5)", | |
| "C": "(6, 1)", | |
| "D": "(6, 4)", | |
| "E": "(4, 4)", | |
| "F": "(1, 4)", | |
| "G": "(5, 4)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 2 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 44 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 41?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 39. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 5)", | |
| "B": "(5, 5)", | |
| "D": "(3, 1)", | |
| "E": "(2, 5)", | |
| "F": "(6, 1)", | |
| "G": "(2, 4)", | |
| "C": "(5, 4)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 5 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 3 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 6, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 39?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 49. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 2)", | |
| "B": "(4, 3)", | |
| "C": "(3, 1)", | |
| "D": "(1, 1)", | |
| "E": "(4, 4)", | |
| "G": "(1, 4)", | |
| "F": "(5, 3)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 6 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 5 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 7 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 6 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 49?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 1. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 3)", | |
| "B": "(2, 5)", | |
| "C": "(2, 4)", | |
| "E": "(5, 3)", | |
| "F": "(4, 3)", | |
| "G": "(4, 6)", | |
| "D": "(1, 2)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 4 equal to 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 4 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 1 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 38 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 1?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 34. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 2)", | |
| "B": "(3, 5)", | |
| "C": "(4, 3)", | |
| "E": "(5, 2)", | |
| "F": "(2, 2)", | |
| "G": "(3, 1)", | |
| "D": "(4, 2)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 4 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 6 equal to 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 47 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 34?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 3. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 4)", | |
| "C": "(5, 4)", | |
| "D": "(1, 3)", | |
| "E": "(5, 1)", | |
| "F": "(2, 6)", | |
| "G": "(2, 2)", | |
| "B": "(3, 5)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 5 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 37 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 3?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 46. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 1)", | |
| "B": "(2, 1)", | |
| "C": "(1, 3)", | |
| "E": "(5, 2)", | |
| "F": "(6, 1)", | |
| "G": "(4, 1)", | |
| "D": "(4, 4)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 3 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 4 equal to 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 1 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 11 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 46?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 30. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 4)", | |
| "B": "(1, 5)", | |
| "C": "(2, 4)", | |
| "D": "(3, 3)", | |
| "E": "(2, 1)", | |
| "F": "(3, 1)", | |
| "G": "(1, 4)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 4 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 41 equal to 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 30?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x5_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 30. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 1)", | |
| "B": "(5, 5)", | |
| "D": "(2, 4)", | |
| "E": "(4, 5)", | |
| "F": "(4, 3)", | |
| "G": "(6, 5)", | |
| "C": "(6, 2)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 5 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 43 equal to 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 30?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 47. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 2)", | |
| "B": "(1, 2)", | |
| "C": "(5, 4)", | |
| "D": "(4, 6)", | |
| "E": "(4, 2)", | |
| "G": "(1, 6)", | |
| "F": "(2, 3)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 5 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 1 equal to 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 46 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 47?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 20. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 6)", | |
| "B": "(4, 1)", | |
| "C": "(5, 1)", | |
| "E": "(6, 4)", | |
| "F": "(5, 6)", | |
| "G": "(4, 5)", | |
| "D": "(1, 5)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 3 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 3 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 6 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 50 equal to 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 5 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 20?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 15. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 4)", | |
| "B": "(4, 5)", | |
| "C": "(6, 5)", | |
| "D": "(1, 1)", | |
| "E": "(3, 6)", | |
| "F": "(6, 2)", | |
| "G": "(3, 1)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 6 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 42 equal to 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 6, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 15?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 9. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(6, 3)", | |
| "B": "(2, 2)", | |
| "C": "(3, 1)", | |
| "D": "(1, 4)", | |
| "E": "(4, 4)", | |
| "F": "(1, 2)", | |
| "G": "(4, 3)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 5 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 5 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 4 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 17 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 5 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 9?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 8. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 1)", | |
| "B": "(5, 3)", | |
| "C": "(3, 3)", | |
| "E": "(3, 1)", | |
| "F": "(2, 2)", | |
| "G": "(6, 6)", | |
| "D": "(4, 2)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 3 equal to 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 6 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 1 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 6, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 8?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 19. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 1)", | |
| "B": "(5, 6)", | |
| "C": "(6, 4)", | |
| "D": "(2, 3)", | |
| "E": "(3, 2)", | |
| "F": "(4, 2)", | |
| "G": "(4, 4)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 6 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 6 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 33 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 19?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 19. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 1)", | |
| "B": "(5, 2)", | |
| "C": "(2, 4)", | |
| "E": "(1, 4)", | |
| "F": "(3, 5)", | |
| "G": "(2, 1)", | |
| "D": "(4, 2)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 6 equal to 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 2 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 22 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 19?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 4. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 1)", | |
| "B": "(1, 3)", | |
| "C": "(1, 6)", | |
| "D": "(3, 2)", | |
| "E": "(6, 5)", | |
| "G": "(2, 3)", | |
| "F": "(1, 2)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 6 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 23 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 4?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 36. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 4)", | |
| "B": "(3, 2)", | |
| "C": "(4, 5)", | |
| "E": "(6, 5)", | |
| "F": "(1, 1)", | |
| "G": "(6, 2)", | |
| "D": "(3, 4)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 4 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 4 equal to 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 10 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 36?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 9. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 6)", | |
| "B": "(4, 6)", | |
| "D": "(1, 3)", | |
| "E": "(3, 4)", | |
| "F": "(5, 5)", | |
| "G": "(2, 5)", | |
| "C": "(1, 1)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 6 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 6 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 34 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 9?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 26. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 4)", | |
| "C": "(4, 2)", | |
| "D": "(3, 4)", | |
| "E": "(6, 2)", | |
| "F": "(5, 3)", | |
| "G": "(2, 4)", | |
| "B": "(2, 2)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 1 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 2 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 22 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 26?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 23. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 3)", | |
| "B": "(6, 4)", | |
| "C": "(2, 3)", | |
| "D": "(4, 5)", | |
| "F": "(6, 2)", | |
| "G": "(4, 4)", | |
| "E": "(6, 5)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 6 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 1 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 36 equal to 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 23?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 14. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(6, 4)", | |
| "B": "(2, 3)", | |
| "C": "(5, 6)", | |
| "D": "(3, 1)", | |
| "E": "(4, 1)", | |
| "G": "(1, 6)", | |
| "F": "(2, 6)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 6 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 4 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 48 equal to 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 6 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 14?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x6_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 32. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 1)", | |
| "B": "(2, 6)", | |
| "C": "(6, 2)", | |
| "D": "(5, 6)", | |
| "E": "(3, 1)", | |
| "G": "(2, 4)", | |
| "F": "(2, 5)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 5 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 6 equal to 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 5 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 32 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 32?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 36. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(3, 2)", | |
| "C": "(1, 5)", | |
| "D": "(5, 2)", | |
| "E": "(5, 6)", | |
| "F": "(3, 5)", | |
| "G": "(2, 4)", | |
| "A": "(2, 6)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 4 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 45 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 36?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 35. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "C": "(2, 4)", | |
| "D": "(6, 2)", | |
| "E": "(2, 5)", | |
| "F": "(7, 6)", | |
| "G": "(5, 4)", | |
| "B": "(5, 3)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 1 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 6 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 28 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 35?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 22. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 1)", | |
| "C": "(1, 7)", | |
| "D": "(4, 5)", | |
| "E": "(6, 3)", | |
| "F": "(6, 4)", | |
| "G": "(4, 3)", | |
| "B": "(3, 1)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 6 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 4 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 7 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 7 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 5 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 22?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 26. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 1)", | |
| "C": "(2, 4)", | |
| "D": "(5, 2)", | |
| "E": "(3, 2)", | |
| "F": "(2, 2)", | |
| "G": "(4, 6)", | |
| "B": "(2, 5)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 1 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 6 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 49 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 26?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 39. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 6)", | |
| "C": "(5, 3)", | |
| "D": "(7, 5)", | |
| "E": "(3, 2)", | |
| "F": "(4, 1)", | |
| "G": "(7, 3)", | |
| "B": "(1, 5)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 5 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 6 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 41 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 39?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 38. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(7, 4)", | |
| "B": "(5, 2)", | |
| "C": "(5, 4)", | |
| "D": "(1, 5)", | |
| "F": "(4, 3)", | |
| "G": "(3, 3)", | |
| "E": "(5, 1)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 6 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 6 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 5 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 49 equal to 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 38?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 46. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 6)", | |
| "C": "(6, 3)", | |
| "D": "(6, 4)", | |
| "E": "(7, 2)", | |
| "F": "(7, 6)", | |
| "G": "(3, 6)", | |
| "B": "(5, 5)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 4 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 7, column 6 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 12 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 7, column 5 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 46?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 14. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(2, 6)", | |
| "C": "(7, 5)", | |
| "D": "(3, 3)", | |
| "E": "(7, 2)", | |
| "F": "(2, 3)", | |
| "G": "(2, 1)", | |
| "A": "(4, 3)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 6 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 7, column 6 equal to 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 16 equal to 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 14?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 19. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 4)", | |
| "B": "(4, 2)", | |
| "D": "(2, 6)", | |
| "E": "(6, 6)", | |
| "F": "(6, 4)", | |
| "G": "(4, 6)", | |
| "C": "(3, 5)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 6 equal to 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 2 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 30 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 7, column 6 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 19?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 20. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(6, 1)", | |
| "C": "(1, 5)", | |
| "D": "(1, 2)", | |
| "E": "(2, 1)", | |
| "F": "(1, 4)", | |
| "G": "(6, 6)", | |
| "B": "(7, 4)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 7, column 6 equal to 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 10 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 5 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 20?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 23. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 7)", | |
| "B": "(3, 6)", | |
| "C": "(6, 3)", | |
| "D": "(2, 3)", | |
| "E": "(3, 3)", | |
| "G": "(1, 1)", | |
| "F": "(4, 5)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 6 equal to 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 47 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 6, column 5 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 23?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 30. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 7)", | |
| "B": "(5, 5)", | |
| "D": "(3, 5)", | |
| "E": "(4, 1)", | |
| "F": "(5, 2)", | |
| "G": "(6, 6)", | |
| "C": "(1, 4)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 6 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 6 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 28 equal to 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 6, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 30?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 14. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 7)", | |
| "B": "(1, 3)", | |
| "D": "(2, 6)", | |
| "E": "(5, 3)", | |
| "F": "(2, 7)", | |
| "G": "(1, 7)", | |
| "C": "(5, 2)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 5 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 6 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 1 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 12 equal to 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 7 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 14?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_6x7_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 3. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 3)", | |
| "C": "(2, 4)", | |
| "D": "(6, 6)", | |
| "E": "(3, 3)", | |
| "F": "(6, 3)", | |
| "G": "(2, 1)", | |
| "B": "(3, 6)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 6 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 5 equal to 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 35 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 3?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 16. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(3, 2)", | |
| "C": "(2, 6)", | |
| "D": "(1, 5)", | |
| "E": "(3, 7)", | |
| "F": "(6, 1)", | |
| "G": "(4, 4)", | |
| "A": "(5, 1)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 5 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 2 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 4 equal to 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 43 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 16?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 37. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 3)", | |
| "B": "(3, 4)", | |
| "D": "(5, 7)", | |
| "E": "(1, 4)", | |
| "F": "(4, 6)", | |
| "G": "(1, 3)", | |
| "C": "(5, 5)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 7 equal to 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 7?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 37 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 6 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 37?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 45. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 3)", | |
| "B": "(6, 3)", | |
| "C": "(6, 1)", | |
| "E": "(6, 2)", | |
| "F": "(4, 4)", | |
| "G": "(2, 7)", | |
| "D": "(5, 5)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 5 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 6 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 39 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 45?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 45. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 6)", | |
| "B": "(3, 6)", | |
| "C": "(1, 3)", | |
| "D": "(4, 4)", | |
| "E": "(1, 4)", | |
| "F": "(6, 2)", | |
| "G": "(6, 3)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 4 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 1 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 48 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 45?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 2. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(1, 6)", | |
| "C": "(6, 4)", | |
| "D": "(7, 2)", | |
| "E": "(5, 3)", | |
| "F": "(2, 3)", | |
| "G": "(5, 5)", | |
| "A": "(4, 4)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 6 equal to 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 30 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 2?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 28. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 1)", | |
| "B": "(2, 1)", | |
| "C": "(3, 6)", | |
| "D": "(2, 4)", | |
| "F": "(3, 7)", | |
| "G": "(4, 2)", | |
| "E": "(2, 2)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 6 equal to 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 8 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 7 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 28?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 44. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(6, 1)", | |
| "B": "(1, 6)", | |
| "C": "(5, 6)", | |
| "D": "(6, 5)", | |
| "F": "(2, 6)", | |
| "G": "(2, 5)", | |
| "E": "(4, 5)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 5 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 44 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 6 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 44?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 14. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 7)", | |
| "B": "(6, 4)", | |
| "D": "(2, 7)", | |
| "E": "(5, 7)", | |
| "F": "(2, 3)", | |
| "G": "(6, 1)", | |
| "C": "(2, 2)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 3 equal to 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 1 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 7 equal to 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 21 equal to 46?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 14?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 17. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 2)", | |
| "B": "(6, 3)", | |
| "D": "(5, 1)", | |
| "E": "(6, 2)", | |
| "F": "(2, 4)", | |
| "G": "(3, 1)", | |
| "C": "(2, 1)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 5 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 5 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 17 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 17?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 20. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(5, 2)", | |
| "B": "(1, 4)", | |
| "C": "(6, 7)", | |
| "D": "(3, 6)", | |
| "E": "(4, 6)", | |
| "G": "(2, 7)", | |
| "F": "(2, 4)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 5 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 5 equal to 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 20?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 50. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 1)", | |
| "B": "(4, 4)", | |
| "C": "(2, 4)", | |
| "D": "(6, 3)", | |
| "E": "(2, 3)", | |
| "G": "(1, 3)", | |
| "F": "(5, 4)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 5 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 15?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 2 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 50 equal to 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 50?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 41. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 2)", | |
| "B": "(1, 6)", | |
| "C": "(1, 4)", | |
| "E": "(7, 4)", | |
| "F": "(4, 4)", | |
| "G": "(7, 2)", | |
| "D": "(6, 6)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 4 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 6 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 6 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 19 equal to 1?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 41?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 31. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 7)", | |
| "C": "(3, 5)", | |
| "D": "(6, 5)", | |
| "E": "(4, 7)", | |
| "F": "(5, 6)", | |
| "G": "(3, 3)", | |
| "B": "(6, 2)" | |
| }, | |
| "answer": "B", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 6 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 1 equal to 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 11 equal to 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 7 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 31?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x6_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 31. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 2)", | |
| "B": "(3, 1)", | |
| "D": "(7, 5)", | |
| "E": "(4, 5)", | |
| "F": "(3, 2)", | |
| "G": "(7, 2)", | |
| "C": "(2, 2)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 6 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 5 equal to 44?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 5 equal to 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 47 equal to 41?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 6, column 1 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 31?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_01.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 40. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 3)", | |
| "B": "(1, 6)", | |
| "C": "(2, 1)", | |
| "D": "(2, 5)", | |
| "F": "(2, 6)", | |
| "G": "(1, 3)", | |
| "E": "(5, 5)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 5 equal to 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 7, column 4 equal to 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 7 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 31?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 50 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 3 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 40?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_02.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 27. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(5, 6)", | |
| "C": "(6, 1)", | |
| "D": "(4, 2)", | |
| "E": "(1, 7)", | |
| "F": "(6, 2)", | |
| "G": "(2, 7)", | |
| "A": "(5, 3)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 7, column 1 equal to 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 2 equal to 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 43 equal to 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 7, column 6 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 27?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_03.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 41. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(2, 5)", | |
| "C": "(6, 6)", | |
| "D": "(3, 3)", | |
| "E": "(4, 5)", | |
| "F": "(7, 2)", | |
| "G": "(4, 3)", | |
| "A": "(6, 1)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 5 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 5 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 7 equal to 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 6 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 2, column 5 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 41?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_04.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 20. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 5)", | |
| "B": "(2, 5)", | |
| "D": "(5, 1)", | |
| "E": "(3, 6)", | |
| "F": "(1, 7)", | |
| "G": "(4, 5)", | |
| "C": "(5, 3)" | |
| }, | |
| "answer": "C", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 7, column 5 equal to 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 6 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 7, column 4 equal to 23?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 11?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 17 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 5, column 6 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 20?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_05.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 45. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(5, 1)", | |
| "C": "(4, 6)", | |
| "D": "(7, 5)", | |
| "E": "(7, 6)", | |
| "F": "(6, 1)", | |
| "G": "(4, 5)", | |
| "A": "(2, 5)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 2 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 2 equal to 40?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 5 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 31 equal to 33?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 7, column 7 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 45?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_06.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 36. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 2)", | |
| "B": "(6, 4)", | |
| "C": "(7, 5)", | |
| "D": "(5, 4)", | |
| "E": "(6, 3)", | |
| "F": "(4, 4)", | |
| "G": "(1, 7)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 3 equal to 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 7 equal to 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 7, column 4 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 39?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 30 equal to 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 4 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 36?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_07.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 38. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 5)", | |
| "B": "(1, 1)", | |
| "C": "(3, 4)", | |
| "D": "(6, 5)", | |
| "F": "(2, 1)", | |
| "G": "(7, 7)", | |
| "E": "(3, 2)" | |
| }, | |
| "answer": "E", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 4?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 3 equal to 43?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 6 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 25?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 32 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 5 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 38?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_08.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees counterclockwise to find the row and column of the number 9. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(3, 7)", | |
| "B": "(5, 6)", | |
| "C": "(1, 7)", | |
| "E": "(1, 3)", | |
| "F": "(7, 3)", | |
| "G": "(5, 7)", | |
| "D": "(6, 4)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 7, column 3 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 7, column 7 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 4 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 5?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 24?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 42?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 17 equal to 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 4 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 9?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_09.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees counterclockwise to find the row and column of the number 42. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 6)", | |
| "B": "(7, 2)", | |
| "C": "(3, 4)", | |
| "E": "(3, 6)", | |
| "F": "(5, 3)", | |
| "G": "(1, 5)", | |
| "D": "(2, 1)" | |
| }, | |
| "answer": "D", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 7, column 3 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 2 equal to 50?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 7 equal to 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 35?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the above of 31 equal to 3?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 6, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 42?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_10.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 270 degrees clockwise to find the row and column of the number 38. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(1, 5)", | |
| "B": "(6, 1)", | |
| "C": "(5, 1)", | |
| "D": "(4, 6)", | |
| "E": "(5, 5)", | |
| "G": "(5, 4)", | |
| "F": "(2, 5)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 270 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 1 equal to 18?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 6 equal to 27?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 7 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 45?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 16?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the below of 42 equal to 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 7, column 2 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 38?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_11.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 8. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "B": "(2, 1)", | |
| "C": "(4, 1)", | |
| "D": "(7, 6)", | |
| "E": "(1, 3)", | |
| "F": "(4, 5)", | |
| "G": "(1, 4)", | |
| "A": "(7, 7)" | |
| }, | |
| "answer": "A", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 7, column 6 equal to 37?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 34?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 38?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 17?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 20?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 8?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 4 equal to 26?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 1, column 1 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 8?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_12.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 90 degrees clockwise to find the row and column of the number 15. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(4, 4)", | |
| "B": "(2, 3)", | |
| "C": "(2, 4)", | |
| "D": "(6, 2)", | |
| "E": "(7, 4)", | |
| "F": "(4, 7)", | |
| "G": "(3, 7)" | |
| }, | |
| "answer": "G", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 90 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 6, column 3 equal to 14?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 4 equal to 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 3 equal to 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 28?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 48?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 32?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 28 equal to 13?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 6, column 3 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 15?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_13.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees counterclockwise to find the row and column of the number 27. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(2, 3)", | |
| "B": "(5, 3)", | |
| "C": "(7, 3)", | |
| "D": "(2, 6)", | |
| "E": "(5, 4)", | |
| "G": "(2, 1)", | |
| "F": "(5, 7)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees counterclockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 6 equal to 47?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 2, column 2 equal to 22?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 5, column 2 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 36?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 29?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the right of 42 equal to 12?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 3, column 6 gray?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 27?", | |
| "answer": "yes" | |
| } | |
| ] | |
| }, | |
| { | |
| "image_path": "matrices/matrix_7x7_14.jpg", | |
| "question": "Given a matrix, where each square contains a number, rotate the matrix 180 degrees clockwise to find the row and column of the number 35. (Choose from A, B, C, D, E, F, G)", | |
| "options": { | |
| "A": "(6, 7)", | |
| "B": "(2, 6)", | |
| "C": "(4, 3)", | |
| "D": "(4, 2)", | |
| "E": "(2, 2)", | |
| "G": "(5, 2)", | |
| "F": "(6, 4)" | |
| }, | |
| "answer": "F", | |
| "description": "Based on the given checkerboard matrix image, generate the resulting matrix image after rotating it 180 degrees clockwise.", | |
| "quality_questions": [ | |
| { | |
| "id": "q01", | |
| "type": "dimension", | |
| "text": "Is the matrix in this image 7 rows by 7 columns?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q02", | |
| "type": "position", | |
| "text": "Is the number at row 1, column 4 equal to 10?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q03", | |
| "type": "position", | |
| "text": "Is the number at row 4, column 4 equal to 49?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q04", | |
| "type": "position", | |
| "text": "Is the number at row 3, column 3 equal to 21?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q05", | |
| "type": "corner", | |
| "text": "Is the number in the top-left corner of the matrix 6?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q06", | |
| "type": "corner", | |
| "text": "Is the number in the top-right corner of the matrix 9?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q07", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-left corner of the matrix 30?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q08", | |
| "type": "corner", | |
| "text": "Is the number in the bottom-right corner of the matrix 19?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q09", | |
| "type": "neighbor", | |
| "text": "Is the number directly to the left of 11 equal to 2?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q10", | |
| "type": "checkerboard", | |
| "text": "Is the cell at row 4, column 2 white?", | |
| "answer": "yes" | |
| }, | |
| { | |
| "id": "q11", | |
| "type": "existence", | |
| "text": "Does the matrix contain the number 35?", | |
| "answer": "yes" | |
| } | |
| ] | |
| } | |
| ] |
Xet Storage Details
- Size:
- 430 kB
- Xet hash:
- fbcf0c9c98ca045a5e84ce4c89544520f55cd91fa1455c176f8d2858d1748f0f
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