PLM-Team/Spatial-Visualization-Benchmark · Datasets at Hugging Face

Category stringclasses 4 values	Task stringclasses 12 values	Level stringclasses 5 values	Image_id stringlengths 1 51	Question stringclasses 197 values	Choices listlengths 4 4	Answer stringclasses 4 values	Explanation stringlengths 52 839
VisualPenetration	CubeCounting	Level0	20-3-3-3-8	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "3", "7", "8", "1" ]	C	{'ABCD': 'Given two views, at least 8 cubes and at most 10 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	21-3-3-3-8	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "8", "2", "1", "All three other options are incorrect" ]	A	{'ABCD': 'Given two views, at least 8 cubes and at most 10 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	22-3-3-3-10	Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "11", "15", "10", "9" ]	D	{'ABCD': 'Given two views, at least 9 cubes and at most 13 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	23-3-2-3-6	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "4", "8", "6", "7" ]	C	{'ABCD': 'Given two views, at least 6 cubes and at most 6 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	24-3-2-2-4	Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "All three other options are incorrect", "4", "3", "5" ]	B	{'ABCD': 'Given two views, at least 4 cubes and at most 4 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	25-3-3-3-9	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "16", "9", "All three other options are incorrect", "6" ]	B	{'ABCD': 'Given two views, at least 9 cubes and at most 13 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	26-2-3-3-7	Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "9", "5", "8", "7" ]	B	{'ABCD': 'Given two views, at least 5 cubes and at most 7 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	27-3-3-2-7	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "11", "6", "7", "2" ]	C	{'ABCD': 'Given two views, at least 7 cubes and at most 9 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	28-3-3-3-10	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "9", "14", "12", "13" ]	C	{'ABCD': 'Given two views, at least 9 cubes and at most 12 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	29-3-3-3-15	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "15", "2", "3", "6" ]	A	{'ABCD': 'Given two views, at least 11 cubes and at most 19 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	30-3-3-3-12	Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "13", "18", "22", "17" ]	A	{'ABCD': 'Given two views, at least 13 cubes and at most 21 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	31-3-2-3-9	Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "8", "6", "11", "9" ]	A	{'ABCD': 'Given two views, at least 8 cubes and at most 10 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	32-3-3-3-7	Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "7", "6", "10", "9" ]	A	{'ABCD': 'Given two views, at least 7 cubes and at most 9 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	33-3-3-3-12	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "16", "9", "17", "14" ]	A	{'ABCD': 'Given two views, at least 10 cubes and at most 16 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	34-2-3-2-9	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "All three other options are incorrect", "9", "13", "12" ]	B	{'ABCD': 'Given two views, at least 7 cubes and at most 10 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	35-3-2-1-3	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "3", "7", "6", "2" ]	A	{'ABCD': 'Given two views, at least 3 cubes and at most 3 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	36-3-3-2-7	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "6", "All three other options are incorrect", "9", "8" ]	D	{'ABCD': 'Given two views, at least 7 cubes and at most 8 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	37-3-2-3-8	Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "10", "11", "9", "8" ]	D	{'ABCD': 'Given two views, at least 8 cubes and at most 9 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	38-3-3-3-10	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "14", "13", "10", "11" ]	B	{'ABCD': 'Given two views, at least 9 cubes and at most 13 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level0	39-3-3-1-4	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "6", "3", "All three other options are incorrect", "4" ]	D	{'ABCD': 'Given two views, at least 4 cubes and at most 4 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	0-3-3-3-11	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "8", "13", "14", "10" ]	D	{'ABCD': 'Given three views, at least 10 cubes and at most 12 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	1-3-3-3-9	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "8", "11", "10", "9" ]	D	{'ABCD': 'Given three views, at least 9 cubes and at most 9 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	2-3-3-1-6	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "All three other options are incorrect", "6", "7", "8" ]	B	{'ABCD': 'Given three views, at least 6 cubes and at most 6 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	3-3-3-3-10	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "All three other options are incorrect", "9", "12", "10" ]	D	{'ABCD': 'Given three views, at least 10 cubes and at most 10 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	4-3-3-3-15	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "15", "All three other options are incorrect", "12", "13" ]	C	{'ABCD': 'Given three views, at least 12 cubes and at most 15 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	5-3-3-3-7	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "6", "8", "All three other options are incorrect", "7" ]	D	{'ABCD': 'Given three views, at least 7 cubes and at most 7 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	6-3-2-3-8	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "8", "7", "9", "All three other options are incorrect" ]	C	{'ABCD': 'Given three views, at least 8 cubes and at most 9 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	7-3-3-3-12	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "13", "18", "17", "14" ]	B	{'ABCD': 'Given three views, at least 12 cubes and at most 18 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	8-3-1-3-7	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "9", "5", "8", "7" ]	D	{'ABCD': 'Given three views, at least 7 cubes and at most 7 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	9-2-3-3-8	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "7", "6", "9", "8" ]	D	{'ABCD': 'Given three views, at least 8 cubes and at most 10 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	10-2-2-2-3	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "All three other options are incorrect", "1", "4", "3" ]	D	{'ABCD': 'Given three views, at least 3 cubes and at most 3 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	11-3-3-3-10	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "All three other options are incorrect", "8", "12", "10" ]	D	{'ABCD': 'Given three views, at least 10 cubes and at most 10 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	12-3-3-3-8	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "5", "1", "8", "7" ]	C	{'ABCD': 'Given three views, at least 8 cubes and at most 9 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	13-3-3-3-10	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "8", "All three other options are incorrect", "9", "12" ]	C	{'ABCD': 'Given three views, at least 9 cubes and at most 11 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	14-3-3-3-11	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "9", "All three other options are incorrect", "15", "11" ]	C	{'ABCD': 'Given three views, at least 11 cubes and at most 15 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	15-3-2-1-4	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "All three other options are incorrect", "3", "6", "4" ]	D	{'ABCD': 'Given three views, at least 4 cubes and at most 4 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	16-3-3-2-7	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "5", "9", "10", "7" ]	D	{'ABCD': 'Given three views, at least 7 cubes and at most 8 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	17-3-3-3-14	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "9", "3", "14", "5" ]	C	{'ABCD': 'Given three views, at least 11 cubes and at most 15 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	18-3-3-3-10	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "8", "9", "All three other options are incorrect", "10" ]	D	{'ABCD': 'Given three views, at least 10 cubes and at most 12 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	19-3-3-3-11	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "8", "9", "11", "12" ]	B	{'ABCD': 'Given three views, at least 9 cubes and at most 11 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	20-3-3-3-7	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "8", "7", "9", "All three other options are incorrect" ]	B	{'ABCD': 'Given three views, at least 7 cubes and at most 7 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	21-3-2-3-7	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "12", "7", "11", "4" ]	B	{'ABCD': 'Given three views, at least 7 cubes and at most 8 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	22-3-3-3-15	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "12", "11", "All three other options are incorrect", "14" ]	A	{'ABCD': 'Given three views, at least 12 cubes and at most 17 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	23-3-3-3-7	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "4", "11", "10", "7" ]	D	{'ABCD': 'Given three views, at least 7 cubes and at most 7 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	24-3-3-3-9	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "10", "7", "8", "9" ]	D	{'ABCD': 'Given three views, at least 9 cubes and at most 9 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	25-3-3-3-9	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "8", "11", "1", "9" ]	D	{'ABCD': 'Given three views, at least 9 cubes and at most 10 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	26-1-1-3-3	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "4", "5", "2", "3" ]	D	{'ABCD': 'Given three views, at least 3 cubes and at most 3 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	27-2-2-2-5	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "5", "All three other options are incorrect", "7", "3" ]	A	{'ABCD': 'Given three views, at least 5 cubes and at most 5 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	28-3-2-3-9	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "All three other options are incorrect", "9", "11", "10" ]	B	{'ABCD': 'Given three views, at least 9 cubes and at most 9 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	29-3-1-2-4	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "6", "4", "5", "2" ]	B	{'ABCD': 'Given three views, at least 4 cubes and at most 4 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	30-3-3-3-6	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "5", "4", "All three other options are incorrect", "6" ]	D	{'ABCD': 'Given three views, at least 6 cubes and at most 6 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	31-3-3-3-12	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "13", "All three other options are incorrect", "10", "14" ]	D	{'ABCD': 'Given three views, at least 11 cubes and at most 14 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	32-3-2-2-4	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "3", "4", "All three other options are incorrect", "6" ]	B	{'ABCD': 'Given three views, at least 4 cubes and at most 4 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	33-3-2-2-5	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "5", "7", "3", "4" ]	A	{'ABCD': 'Given three views, at least 5 cubes and at most 5 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	34-3-3-3-16	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "All three other options are incorrect", "13", "19", "14" ]	B	{'ABCD': 'Given three views, at least 13 cubes and at most 17 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	35-2-3-3-8	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "10", "11", "6", "8" ]	D	{'ABCD': 'Given three views, at least 8 cubes and at most 10 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	36-3-3-3-11	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "11", "9", "10", "12" ]	A	{'ABCD': 'Given three views, at least 11 cubes and at most 11 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	37-1-1-1-1	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "2", "1", "4", "3" ]	B	{'ABCD': 'Given three views, at least 1 cubes and at most 1 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	38-3-3-3-18	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "3", "7", "18", "11" ]	C	{'ABCD': 'Given three views, at least 13 cubes and at most 21 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level1	39-2-3-2-5	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "4", "3", "7", "5" ]	D	{'ABCD': 'Given three views, at least 5 cubes and at most 5 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	0-4-4-4-15	Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "14", "17", "21", "15" ]	A	{'ABCD': 'Given two views, at least 14 cubes and at most 23 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	1-3-3-4-11	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "16", "All three other options are incorrect", "9", "14" ]	A	{'ABCD': 'Given two views, at least 11 cubes and at most 16 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	2-4-4-4-19	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "19", "6", "13", "All three other options are incorrect" ]	A	{'ABCD': 'Given two views, at least 16 cubes and at most 25 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	3-4-4-4-26	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "26", "10", "13", "3" ]	A	{'ABCD': 'Given two views, at least 20 cubes and at most 36 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	4-4-4-3-14	Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "20", "13", "12", "17" ]	C	{'ABCD': 'Given two views, at least 12 cubes and at most 18 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	5-4-4-4-17	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "28", "17", "9", "5" ]	B	{'ABCD': 'Given two views, at least 16 cubes and at most 25 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	6-4-4-4-22	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "34", "27", "32", "All three other options are incorrect" ]	C	{'ABCD': 'Given two views, at least 19 cubes and at most 32 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	7-4-3-4-15	Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "19", "15", "13", "12" ]	C	{'ABCD': 'Given two views, at least 13 cubes and at most 22 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	8-4-4-4-16	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "23", "18", "16", "20" ]	A	{'ABCD': 'Given two views, at least 14 cubes and at most 23 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	9-4-4-3-16	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "14", "11", "16", "26" ]	C	{'ABCD': 'Given two views, at least 16 cubes and at most 25 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	10-4-3-4-14	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "5", "11", "14", "19" ]	C	{'ABCD': 'Given two views, at least 13 cubes and at most 18 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	11-4-4-4-18	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "24", "17", "20", "21" ]	A	{'ABCD': 'Given two views, at least 17 cubes and at most 24 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	12-4-3-4-17	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "17", "4", "14", "16" ]	A	{'ABCD': 'Given two views, at least 17 cubes and at most 28 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	13-4-4-4-13	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "12", "18", "19", "17" ]	D	{'ABCD': 'Given two views, at least 13 cubes and at most 17 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	14-4-4-4-16	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "28", "17", "19", "30" ]	A	{'ABCD': 'Given two views, at least 15 cubes and at most 28 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	15-4-4-4-21	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "5", "All three other options are incorrect", "12", "21" ]	D	{'ABCD': 'Given two views, at least 16 cubes and at most 26 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	16-4-4-4-21	Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "24", "17", "All three other options are incorrect", "26" ]	B	{'ABCD': 'Given two views, at least 17 cubes and at most 28 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	17-3-4-4-9	Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "11", "7", "14", "12" ]	D	{'ABCD': 'Given two views, at least 9 cubes and at most 12 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	18-4-4-4-26	Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "21", "38", "34", "35" ]	A	{'ABCD': 'Given two views, at least 21 cubes and at most 40 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	19-3-4-4-11	Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "11", "4", "6", "18" ]	A	{'ABCD': 'Given two views, at least 10 cubes and at most 14 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	20-4-4-3-11	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "All three other options are incorrect", "2", "11", "9" ]	C	{'ABCD': 'Given three views, at least 10 cubes and at most 11 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	21-4-4-4-26	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "35", "32", "22", "36" ]	C	{'ABCD': 'Given three views, at least 22 cubes and at most 35 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	22-3-4-4-11	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "13", "15", "9", "11" ]	D	{'ABCD': 'Given three views, at least 11 cubes and at most 13 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	23-4-3-4-10	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "11", "All three other options are incorrect", "10", "9" ]	C	{'ABCD': 'Given three views, at least 10 cubes and at most 10 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	24-4-4-4-15	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "16", "14", "18", "15" ]	A	{'ABCD': 'Given three views, at least 15 cubes and at most 16 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	25-4-4-4-18	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "21", "18", "All three other options are incorrect", "19" ]	A	{'ABCD': 'Given three views, at least 18 cubes and at most 21 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	26-4-4-4-17	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "18", "19", "15", "21" ]	B	{'ABCD': 'Given three views, at least 16 cubes and at most 19 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	27-4-4-4-20	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "18", "24", "17", "23" ]	C	{'ABCD': 'Given three views, at least 17 cubes and at most 24 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	28-4-4-4-20	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "5", "20", "29", "11" ]	B	{'ABCD': 'Given three views, at least 18 cubes and at most 26 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	29-3-4-4-18	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "18", "13", "23", "8" ]	A	{'ABCD': 'Given three views, at least 16 cubes and at most 22 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	30-4-4-4-18	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "18", "19", "15", "17" ]	A	{'ABCD': 'Given three views, at least 16 cubes and at most 18 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	31-4-4-3-11	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "All three other options are incorrect", "7", "16", "11" ]	D	{'ABCD': 'Given three views, at least 11 cubes and at most 12 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	32-4-4-4-12	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "12", "15", "11", "13" ]	B	{'ABCD': 'Given three views, at least 13 cubes and at most 15 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	33-4-4-4-21	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "24", "27", "22", "25" ]	D	{'ABCD': 'Given three views, at least 18 cubes and at most 25 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	34-4-4-4-15	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "23", "19", "17", "21" ]	D	{'ABCD': 'Given three views, at least 16 cubes and at most 21 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	35-4-4-3-16	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "21", "15", "19", "20" ]	C	{'ABCD': 'Given three views, at least 16 cubes and at most 19 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	36-4-4-4-14	Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "13", "12", "18", "14" ]	D	{'ABCD': 'Given three views, at least 14 cubes and at most 16 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	37-4-4-4-21	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "23", "20", "19", "22" ]	A	{'ABCD': 'Given three views, at least 17 cubes and at most 23 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	38-4-4-4-15	Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "15", "All three other options are incorrect", "13", "10" ]	A	{'ABCD': 'Given three views, at least 15 cubes and at most 19 cubes are required to satisfy the constraints.'}
VisualPenetration	CubeCounting	Level2	39-4-4-4-27	Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.	[ "34", "37", "29", "38" ]	B	{'ABCD': 'Given three views, at least 22 cubes and at most 37 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

20-3-3-3-8

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "3", "7", "8", "1" ]

C

{'ABCD': 'Given two views, at least 8 cubes and at most 10 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

21-3-3-3-8

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "8", "2", "1", "All three other options are incorrect" ]

A

{'ABCD': 'Given two views, at least 8 cubes and at most 10 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

22-3-3-3-10

Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "11", "15", "10", "9" ]

D

{'ABCD': 'Given two views, at least 9 cubes and at most 13 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

23-3-2-3-6

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "4", "8", "6", "7" ]

C

{'ABCD': 'Given two views, at least 6 cubes and at most 6 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

24-3-2-2-4

Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "All three other options are incorrect", "4", "3", "5" ]

B

{'ABCD': 'Given two views, at least 4 cubes and at most 4 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

25-3-3-3-9

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "16", "9", "All three other options are incorrect", "6" ]

B

{'ABCD': 'Given two views, at least 9 cubes and at most 13 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

26-2-3-3-7

Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "9", "5", "8", "7" ]

B

{'ABCD': 'Given two views, at least 5 cubes and at most 7 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

27-3-3-2-7

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "11", "6", "7", "2" ]

C

{'ABCD': 'Given two views, at least 7 cubes and at most 9 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

28-3-3-3-10

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "9", "14", "12", "13" ]

C

{'ABCD': 'Given two views, at least 9 cubes and at most 12 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

29-3-3-3-15

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "15", "2", "3", "6" ]

A

{'ABCD': 'Given two views, at least 11 cubes and at most 19 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

30-3-3-3-12

Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "13", "18", "22", "17" ]

A

{'ABCD': 'Given two views, at least 13 cubes and at most 21 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

31-3-2-3-9

Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "8", "6", "11", "9" ]

A

{'ABCD': 'Given two views, at least 8 cubes and at most 10 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

32-3-3-3-7

Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "7", "6", "10", "9" ]

A

{'ABCD': 'Given two views, at least 7 cubes and at most 9 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

33-3-3-3-12

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "16", "9", "17", "14" ]

A

{'ABCD': 'Given two views, at least 10 cubes and at most 16 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

34-2-3-2-9

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "All three other options are incorrect", "9", "13", "12" ]

B

{'ABCD': 'Given two views, at least 7 cubes and at most 10 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

35-3-2-1-3

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "3", "7", "6", "2" ]

A

{'ABCD': 'Given two views, at least 3 cubes and at most 3 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

36-3-3-2-7

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "6", "All three other options are incorrect", "9", "8" ]

D

{'ABCD': 'Given two views, at least 7 cubes and at most 8 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

37-3-2-3-8

Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "10", "11", "9", "8" ]

D

{'ABCD': 'Given two views, at least 8 cubes and at most 9 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

38-3-3-3-10

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "14", "13", "10", "11" ]

B

{'ABCD': 'Given two views, at least 9 cubes and at most 13 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level0

39-3-3-1-4

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "6", "3", "All three other options are incorrect", "4" ]

D

{'ABCD': 'Given two views, at least 4 cubes and at most 4 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

0-3-3-3-11

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "8", "13", "14", "10" ]

D

{'ABCD': 'Given three views, at least 10 cubes and at most 12 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

1-3-3-3-9

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "8", "11", "10", "9" ]

D

{'ABCD': 'Given three views, at least 9 cubes and at most 9 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

2-3-3-1-6

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "All three other options are incorrect", "6", "7", "8" ]

B

{'ABCD': 'Given three views, at least 6 cubes and at most 6 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

3-3-3-3-10

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "All three other options are incorrect", "9", "12", "10" ]

D

{'ABCD': 'Given three views, at least 10 cubes and at most 10 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

4-3-3-3-15

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "15", "All three other options are incorrect", "12", "13" ]

C

{'ABCD': 'Given three views, at least 12 cubes and at most 15 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

5-3-3-3-7

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "6", "8", "All three other options are incorrect", "7" ]

D

{'ABCD': 'Given three views, at least 7 cubes and at most 7 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

6-3-2-3-8

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "8", "7", "9", "All three other options are incorrect" ]

C

{'ABCD': 'Given three views, at least 8 cubes and at most 9 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

7-3-3-3-12

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "13", "18", "17", "14" ]

B

{'ABCD': 'Given three views, at least 12 cubes and at most 18 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

8-3-1-3-7

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "9", "5", "8", "7" ]

D

{'ABCD': 'Given three views, at least 7 cubes and at most 7 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

9-2-3-3-8

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "7", "6", "9", "8" ]

D

{'ABCD': 'Given three views, at least 8 cubes and at most 10 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

10-2-2-2-3

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "All three other options are incorrect", "1", "4", "3" ]

D

{'ABCD': 'Given three views, at least 3 cubes and at most 3 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

11-3-3-3-10

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "All three other options are incorrect", "8", "12", "10" ]

D

{'ABCD': 'Given three views, at least 10 cubes and at most 10 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

12-3-3-3-8

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "5", "1", "8", "7" ]

C

{'ABCD': 'Given three views, at least 8 cubes and at most 9 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

13-3-3-3-10

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "8", "All three other options are incorrect", "9", "12" ]

C

{'ABCD': 'Given three views, at least 9 cubes and at most 11 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

14-3-3-3-11

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "9", "All three other options are incorrect", "15", "11" ]

C

{'ABCD': 'Given three views, at least 11 cubes and at most 15 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

15-3-2-1-4

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "All three other options are incorrect", "3", "6", "4" ]

D

{'ABCD': 'Given three views, at least 4 cubes and at most 4 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

16-3-3-2-7

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "5", "9", "10", "7" ]

D

{'ABCD': 'Given three views, at least 7 cubes and at most 8 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

17-3-3-3-14

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "9", "3", "14", "5" ]

C

{'ABCD': 'Given three views, at least 11 cubes and at most 15 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

18-3-3-3-10

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "8", "9", "All three other options are incorrect", "10" ]

D

{'ABCD': 'Given three views, at least 10 cubes and at most 12 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

19-3-3-3-11

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "8", "9", "11", "12" ]

B

{'ABCD': 'Given three views, at least 9 cubes and at most 11 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

20-3-3-3-7

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "8", "7", "9", "All three other options are incorrect" ]

B

{'ABCD': 'Given three views, at least 7 cubes and at most 7 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

21-3-2-3-7

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "12", "7", "11", "4" ]

B

{'ABCD': 'Given three views, at least 7 cubes and at most 8 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

22-3-3-3-15

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "12", "11", "All three other options are incorrect", "14" ]

A

{'ABCD': 'Given three views, at least 12 cubes and at most 17 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

23-3-3-3-7

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "4", "11", "10", "7" ]

D

{'ABCD': 'Given three views, at least 7 cubes and at most 7 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

24-3-3-3-9

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "10", "7", "8", "9" ]

D

{'ABCD': 'Given three views, at least 9 cubes and at most 9 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

25-3-3-3-9

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "8", "11", "1", "9" ]

D

{'ABCD': 'Given three views, at least 9 cubes and at most 10 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

26-1-1-3-3

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "4", "5", "2", "3" ]

D

{'ABCD': 'Given three views, at least 3 cubes and at most 3 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

27-2-2-2-5

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "5", "All three other options are incorrect", "7", "3" ]

A

{'ABCD': 'Given three views, at least 5 cubes and at most 5 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

28-3-2-3-9

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "All three other options are incorrect", "9", "11", "10" ]

B

{'ABCD': 'Given three views, at least 9 cubes and at most 9 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

29-3-1-2-4

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "6", "4", "5", "2" ]

B

{'ABCD': 'Given three views, at least 4 cubes and at most 4 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

30-3-3-3-6

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "5", "4", "All three other options are incorrect", "6" ]

D

{'ABCD': 'Given three views, at least 6 cubes and at most 6 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

31-3-3-3-12

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "13", "All three other options are incorrect", "10", "14" ]

D

{'ABCD': 'Given three views, at least 11 cubes and at most 14 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

32-3-2-2-4

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "3", "4", "All three other options are incorrect", "6" ]

B

{'ABCD': 'Given three views, at least 4 cubes and at most 4 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

33-3-2-2-5

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "5", "7", "3", "4" ]

A

{'ABCD': 'Given three views, at least 5 cubes and at most 5 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

34-3-3-3-16

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "All three other options are incorrect", "13", "19", "14" ]

B

{'ABCD': 'Given three views, at least 13 cubes and at most 17 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

35-2-3-3-8

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "10", "11", "6", "8" ]

D

{'ABCD': 'Given three views, at least 8 cubes and at most 10 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

36-3-3-3-11

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "11", "9", "10", "12" ]

A

{'ABCD': 'Given three views, at least 11 cubes and at most 11 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

37-1-1-1-1

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "2", "1", "4", "3" ]

B

{'ABCD': 'Given three views, at least 1 cubes and at most 1 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

38-3-3-3-18

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "3", "7", "18", "11" ]

C

{'ABCD': 'Given three views, at least 13 cubes and at most 21 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level1

39-2-3-2-5

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "4", "3", "7", "5" ]

D

{'ABCD': 'Given three views, at least 5 cubes and at most 5 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

0-4-4-4-15

Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "14", "17", "21", "15" ]

A

{'ABCD': 'Given two views, at least 14 cubes and at most 23 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

1-3-3-4-11

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "16", "All three other options are incorrect", "9", "14" ]

A

{'ABCD': 'Given two views, at least 11 cubes and at most 16 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

2-4-4-4-19

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "19", "6", "13", "All three other options are incorrect" ]

A

{'ABCD': 'Given two views, at least 16 cubes and at most 25 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

3-4-4-4-26

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "26", "10", "13", "3" ]

A

{'ABCD': 'Given two views, at least 20 cubes and at most 36 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

4-4-4-3-14

Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "20", "13", "12", "17" ]

C

{'ABCD': 'Given two views, at least 12 cubes and at most 18 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

5-4-4-4-17

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "28", "17", "9", "5" ]

B

{'ABCD': 'Given two views, at least 16 cubes and at most 25 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

6-4-4-4-22

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "34", "27", "32", "All three other options are incorrect" ]

C

{'ABCD': 'Given two views, at least 19 cubes and at most 32 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

7-4-3-4-15

Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "19", "15", "13", "12" ]

C

{'ABCD': 'Given two views, at least 13 cubes and at most 22 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

8-4-4-4-16

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "23", "18", "16", "20" ]

A

{'ABCD': 'Given two views, at least 14 cubes and at most 23 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

9-4-4-3-16

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "14", "11", "16", "26" ]

C

{'ABCD': 'Given two views, at least 16 cubes and at most 25 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

10-4-3-4-14

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "5", "11", "14", "19" ]

C

{'ABCD': 'Given two views, at least 13 cubes and at most 18 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

11-4-4-4-18

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "24", "17", "20", "21" ]

A

{'ABCD': 'Given two views, at least 17 cubes and at most 24 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

12-4-3-4-17

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "17", "4", "14", "16" ]

A

{'ABCD': 'Given two views, at least 17 cubes and at most 28 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

13-4-4-4-13

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "12", "18", "19", "17" ]

D

{'ABCD': 'Given two views, at least 13 cubes and at most 17 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

14-4-4-4-16

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "28", "17", "19", "30" ]

A

{'ABCD': 'Given two views, at least 15 cubes and at most 28 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

15-4-4-4-21

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "5", "All three other options are incorrect", "12", "21" ]

D

{'ABCD': 'Given two views, at least 16 cubes and at most 26 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

16-4-4-4-21

Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "24", "17", "All three other options are incorrect", "26" ]

B

{'ABCD': 'Given two views, at least 17 cubes and at most 28 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

17-3-4-4-9

Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "11", "7", "14", "12" ]

D

{'ABCD': 'Given two views, at least 9 cubes and at most 12 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

18-4-4-4-26

Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "21", "38", "34", "35" ]

A

{'ABCD': 'Given two views, at least 21 cubes and at most 40 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

19-3-4-4-11

Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "11", "4", "6", "18" ]

A

{'ABCD': 'Given two views, at least 10 cubes and at most 14 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

20-4-4-3-11

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "All three other options are incorrect", "2", "11", "9" ]

C

{'ABCD': 'Given three views, at least 10 cubes and at most 11 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

21-4-4-4-26

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "35", "32", "22", "36" ]

C

{'ABCD': 'Given three views, at least 22 cubes and at most 35 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

22-3-4-4-11

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "13", "15", "9", "11" ]

D

{'ABCD': 'Given three views, at least 11 cubes and at most 13 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

23-4-3-4-10

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "11", "All three other options are incorrect", "10", "9" ]

C

{'ABCD': 'Given three views, at least 10 cubes and at most 10 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

24-4-4-4-15

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "16", "14", "18", "15" ]

A

{'ABCD': 'Given three views, at least 15 cubes and at most 16 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

25-4-4-4-18

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "21", "18", "All three other options are incorrect", "19" ]

A

{'ABCD': 'Given three views, at least 18 cubes and at most 21 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

26-4-4-4-17

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "18", "19", "15", "21" ]

B

{'ABCD': 'Given three views, at least 16 cubes and at most 19 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

27-4-4-4-20

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "18", "24", "17", "23" ]

C

{'ABCD': 'Given three views, at least 17 cubes and at most 24 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

28-4-4-4-20

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "5", "20", "29", "11" ]

B

{'ABCD': 'Given three views, at least 18 cubes and at most 26 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

29-3-4-4-18

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "18", "13", "23", "8" ]

A

{'ABCD': 'Given three views, at least 16 cubes and at most 22 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

30-4-4-4-18

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "18", "19", "15", "17" ]

A

{'ABCD': 'Given three views, at least 16 cubes and at most 18 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

31-4-4-3-11

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "All three other options are incorrect", "7", "16", "11" ]

D

{'ABCD': 'Given three views, at least 11 cubes and at most 12 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

32-4-4-4-12

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "12", "15", "11", "13" ]

B

{'ABCD': 'Given three views, at least 13 cubes and at most 15 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

33-4-4-4-21

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "24", "27", "22", "25" ]

D

{'ABCD': 'Given three views, at least 18 cubes and at most 25 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

34-4-4-4-15

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "23", "19", "17", "21" ]

D

{'ABCD': 'Given three views, at least 16 cubes and at most 21 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

35-4-4-3-16

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "21", "15", "19", "20" ]

C

{'ABCD': 'Given three views, at least 16 cubes and at most 19 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

36-4-4-4-14

Given three views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "13", "12", "18", "14" ]

D

{'ABCD': 'Given three views, at least 14 cubes and at most 16 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

37-4-4-4-21

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "23", "20", "19", "22" ]

A

{'ABCD': 'Given three views, at least 17 cubes and at most 23 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

38-4-4-4-15

Given three views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "15", "All three other options are incorrect", "13", "10" ]

A

{'ABCD': 'Given three views, at least 15 cubes and at most 19 cubes are required to satisfy the constraints.'}

VisualPenetration

CubeCounting

Level2

39-4-4-4-27

Given three views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.

[ "34", "37", "29", "38" ]

B

{'ABCD': 'Given three views, at least 22 cubes and at most 37 cubes are required to satisfy the constraints.'}