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OCR
The circle is drawn on letter o.
In the image, you can see a word rBmbdo. On which letter is the circle drawn?
sharpness
Yes, the curve is pointy.
Is the curve in the image pointy?
interior
Inside 9 you can find points S.
Identify the points that reside in 9 based on the figure. As an example, if 9 contains points A, B, answer with "A, B". Please choose from Nothing, K, L, U, Q, G, X, I, Z, W, E, O, P, R, T, H, D, J, M, N, S, Y, F, A, V, C, B for the answer. E.g., if A, B lie inside 9, you must respond with "A, B".
connectedness
Indeed, point N and point M are connected by a continuous line.
Would you say the line linking point N with point M is unbroken?
symbol
Angle D is represented by the angle symbol.
What angle is represented by the angle symbol?
cardinal_direction
Between circle A and circle V, circle A is located on the bottom right side of the other.
Between circle A and circle V, (circle A/circle V) is located on the bottom right side of the other.
boundary
The segment XS marks the boundary between area 11 and area 10.
Identify the line that marks the border separating area 11 and area 10 in the provided figure. Pick the correct line from the options in PI, IQ, PZ, PK, CZ, ZG, CB, NC, QK, QU, GK, LK, GN, GT, DN, VN, UL, FU, LT, SL, VT, XT, WV, VA, FS, FH, XS, OS, XA, XM, AE, RA, BD, DW, EW, EY, HO, OM, RM, RY. For instance, if the line between points A and B separates area 11 and 10, you should answer AB.
point
Label Y indicates the point.
From the labels N, V, G, E, and Y, which one indicates a point?
absolute_position
(1) circle W
In the image, there are several different objects. Which object is in the top left of the image? Answer with a single number between 1 and 3. (1) circle W (2) point C (3) circle V
rotation
The heart formed by a 45-degree rotation of X is B.
In the picture, out of hearts A, B, and C, which one can be formed by a 45-degree rotation of X?
width
The road is getting narrower.
In the image, is the road getting wider or narrower when moving down?
connectedness
No, the line connecting point F and point M is not connected.
Is the line connecting point F and point M continuous and unbroken?
convexity
The concave shape among them is Y.
Which shape qualifies as concave among those provided? The answer must be chosen from shapeT, shapeP, shapeF, shapeS, shapeD, shapeX, shapeH, shapeL, shapeY. For instance, if Z is the unique shape that is concave, your response should be "Z".
line
JI.
Between JD and JI, which is NOT the line present in the image?
length
Yes, they measure the same distance.
Do line NG and the distance between point B and X measure the same?
boundary
The line XK forms the division between area 0 and 1.
Identify the line that marks the border separating area 0 and area 1 in the provided figure. Pick the correct line from the options in OZ, ZU, TO, FO, TD, JT, PD, AD, PN, PX, UF, UH, JF, VF, AJ, JR, AX, SA, XK, EX, NK, IK, VH, RV, SR, SE, EI. For instance, if the line between points A and B separates area 0 and 1, you should answer AB. For example, when points A and B form the boundary between area 0 and 1, provide the answer as AB. The answer should be found in OZ, ZU, TO, FO, TD, JT, PD, AD, PN, PX, UF, UH, JF, VF, AJ, JR, AX, SA, XK, EX, NK, IK, VH, RV, SR, SE, EI. As an illustration, if segment AB delineates area 0 and area 1, answer with AB. Pick the correct option to finish the sentence. The boundary 0/1/2/3/4/5/6/7/8/9 separates area 0 from area 1. Your choice should be one of OZ, ZU, TO, FO, TD, JT, PD, AD, PN, PX, UF, UH, JF, VF, AJ, JR, AX, SA, XK, EX, NK, IK, VH, RV, SR, SE, EI. Fill in the blank from the choices in parentheses. The line 0/1/2/3/4/5/6/7/8/9 forms the division between area 0 and 1. For instance, if the line between points A and B separates area 0 and 1, you should answer AB.
sharpness
No, the curve is not pointy at S.
Is the curve in the image smooth at S?
line
UX.
Between UX and JF, which is NOT the line present in the image?
curvature
The point featuring the greatest absolute curvature is C.
Among the points placed on the curve, find the one having the greatest absolute curvature.
OCR
%
Find the circled letter in the word $7GU#K^%.
adjacency
In the table, V, L represents the elements adjacent to O.
You have a matrix that includes an element named O. Which elements in the matrix are immediately adjacent to O (up, down, left, right)? Select the correct elements from A, B, C, D, E, F, G, H, I, J, K, L, M, N, P, Q, R, S, T, U, V, W, X, Y, Z. From the parentheses, select the correct label for the elements adjacent to O. Those elements are (A/B/C/D/E/F/G/H/I/J/K/L/M/N/P/Q/R/S/T/U/V/W/X/Y/Z). Choose one option from the parentheses to complete the statement: The matrix elements adjacent to O are (A/B/C/D/E/F/G/H/I/J/K/L/M/N/P/Q/R/S/T/U/V/W/X/Y/Z). Your response should be one of the options listed in A, B, C, D, E, F, G, H, I, J, K, L, M, N, P, Q, R, S, T, U, V, W, X, Y, Z. Pick from the parentheses to form a complete sentence: The items next to O are (A/B/C/D/E/F/G/H/I/J/K/L/M/N/P/Q/R/S/T/U/V/W/X/Y/Z) in the given table. Use the parentheses to fill in the blank: In the table, (A/B/C/D/E/F/G/H/I/J/K/L/M/N/P/Q/R/S/T/U/V/W/X/Y/Z) represents the elements adjacent to O. Pick from the parentheses to form a complete sentence: The items next to O are (A/B/C/D/E/F/G/H/I/J/K/L/M/N/P/Q/R/S/T/U/V/W/X/Y/Z) in the given table. For instance, if 'a' and 'b' are adjacent to O, the answer should be 'a, b'. Use the parentheses to fill in the blank: In the table, (A/B/C/D/E/F/G/H/I/J/K/L/M/N/P/Q/R/S/T/U/V/W/X/Y/Z) represents the elements adjacent to O. Use the parentheses to fill in the blank: In the table, (A/B/C/D/E/F/G/H/I/J/K/L/M/N/P/Q/R/S/T/U/V/W/X/Y/Z) represents the elements adjacent to O. Use the parentheses to fill in the blank: In the table, (A/B/C/D/E/F/G/H/I/J/K/L/M/N/P/Q/R/S/T/U/V/W/X/Y/Z) represents the elements adjacent to O.
cardinal_direction
The point M is located on the top right side of the circle N.
The point M is located on the (top right/top left/bottom right/bottom left) side of the circle N.
length
Point J is the farthest from point V.
Between points J, B, which is farther from point V?
orthogonality
(ii) Line AK is orthogonal to line MS.
Choose the correct option. (i) Line RF is orthogonal to line MS. (ii) Line AK is orthogonal to line MS.
convexity
Determine which regions in the function are convex. Select one or more words from the parentheses to complete the sentence. The regions in the given function that are convex are (1/2/3/4/5). As an instance, if the function's convex regions are 1, 3, 4, answer with "1, 3, 4".
length
No, it’s not scalene because two sides are equal. It’s an isosceles triangle with one longer side.
Does the fact that MC is longer make this triangle scalene?
area
Category M has the largest ratio.
In the image, there is a pie graph with three categories. Which category has the largest ratio? Choose from P, M, and N.
curvature
That point of smallest absolute curvature is Q.
Check the points on the curve. Which one has the minimal absolute curvature? Decide which option applies. The point that has the lowest absolute curvature is (Q/N/U/R/J/E). The answer must be picked from Q, N, U, R, J, E. From the parentheses, select the point that exhibits the smallest absolute curvature: (Q/N/U/R/J/E).
cardinal_direction
The circle A is located on the left side of the circle H.
The circle A is located on the (left/right) side of the circle H.
point
Label K does not refer to any point.
Out of I, J, K, X, and N, determine the label that does not refer to a point.
connectedness
Those connected components are given by [['n', 'x', 'r', 'l', 't', 'y', 's', 'w'], ['j']].
Please provide the list of connected components in the correct format for the graph with up to 9 nodes. Imagine a graph that includes nodes 1 through 9 and employs [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]] as its adjacency matrix, with 0 meaning no connection and 1 meaning a connection. You need to provide the solution in the same style as [[1], [2], [3], [4], [5], [6], [7], [8], [9]]. Imagine a graph that includes nodes 1 through 9 and employs [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]] as its adjacency matrix, with 0 meaning no connection and 1 meaning a connection. You need to provide the solution in the same style as [[1], [2], [3], [4], [5], [6], [7], [8], [9]]. For example, if you have a graph containing nodes from 1 to 9, and [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]] is the adjacency matrix (where 0 denotes not connected and 1 denotes connected), then you should provide the answer in a format similar to [[1], [2], [3], [4], [5], [6], [7], [8], [9]]. For instance, if the graph has nodes from 1 to 9, with [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]] denoting the adjacency matrix (where 0=not connected, 1=connected), then you must give your answer according to the template shown by [[1], [2], [3], [4], [5], [6], [7], [8], [9]]. Suppose there's a graph with nodes labeled from 1 to 9, and [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]] represents the adjacency matrix indicating connections (1) or lack thereof (0). In this case, your answer should be formatted like [[1], [2], [3], [4], [5], [6], [7], [8], [9]].
line
p is the correct option.
Among x, p, choose the correct option that refers to the line in the image.
width
No, the road is getting wider.
In the image, is the road getting narrower when moving up?
similarity
Triangle(FYA) is not similar to the other triangles, while the others share mutual similarity.
Which of the triangles Triangle(XLW), Triangle(VKE), Triangle(FYA), and Triangle(OTU) is not similar to the rest, while the others share mutual similarity?
orthogonality
The line perpendicular to TR is line CZ.
Among the lines on the image, which is perpendicular to TR?
coordinate
1
What is the quadrant of shape P?
texture
No, the line style of the line 2 is solid.
Is the line style of the line 2 dashed?
rotation
Triangle(JYH) is least likely to have been rotated from Triangle(VPC) about point S.
Out of Triangle(ROW), Triangle(LGE), Triangle(JYH), Triangle(QMX), and Triangle(NBU), which triangle in the image is least likely to have been rotated from Triangle(VPC) about point S?
texture
The line with the most breaks per unit length is 1.
Choose the line that has the most breaks per unit length.
symbol
(A) AB and IA
According to the picture, What is correct? (A) IA and AB, (B) IB and AB, (C) IB and IA
convexity
The lens qualifying as convex is S.
Which lens qualifies as convex in the list? Please pick your answer from shapeC, shapeI, shapeP, shapeX, shapeF, shapeL, shapeZ, shapeE, shapeS. Please pick your answer from shapeC, shapeI, shapeP, shapeX, shapeF, shapeL, shapeZ, shapeE, shapeS. Please pick your answer from shapeC, shapeI, shapeP, shapeX, shapeF, shapeL, shapeZ, shapeE, shapeS. As an instance, if there's only one convex lens labeled Z, your answer is "Z".
rel_pos
w is most likely to be on the burlywood circle's boundary.
Which point is most likely to be on the burlywood circle's boundary?
sharpness
No, the curve is not smooth.
Is the curve in the image smooth?
curvature
The point that holds the highest absolute curvature is B.
Observe the marked points on the curve. Which one has the largest absolute curvature? The valid response is in H, T, B, M. Choose the correct term in parentheses. The point of maximum absolute curvature is (H/T/B/M). Imagine that A is the point with the maximum absolute curvature. Then your answer is 'Answer : A'. Imagine that A is the point with the maximum absolute curvature. Then your answer is 'Answer : A'. Pick the correct point from among H, T, B, M. Decide which word in parentheses applies. The point that holds the highest absolute curvature is (H/T/B/M). If point A demonstrates the largest absolute curvature, the correct response is 'Answer : A'. Pick the correct point from among H, T, B, M.
coordinate
Point X has the coordinates X(1.0, 30 degrees).
What are the coordinates of point X in the given figure, expressed in X(r, theta) form?
curvature
The point with the lowest absolute curvature on this curve is X.
Several points lie on the curve. Identify the point with the least absolute curvature. Select the correct point out of H, X, L, Q. Select the correct point out of H, X, L, Q.
line
None.
Among the points in the image, list all the points connected to point V by a line.
ordinal
Label W represents the first smallest shape.
Examine the image that displays three labeled shapes of varying sizes. Which label represents the first smallest shape? Options are W, Z, or B.
absolute_position
(7) circle D
In the image, there are several different objects. Which object is in the bottom left of the image? Answer with a single number between 1 and 7. (1) line LF (2) point H (3) line XB (4) point V (5) line KA (6) point N (7) circle D
sharpness
Yes, the curve is pointy.
Is the curve in the image pointy?
connectedness
You can observe 4 connected shapes in the figure.
In the figure shown, how many connected shapes can be observed? For example, if the figure had 20 connected shapes, then the answer should be "20".
parallel
No, SH is not parallel to CW.
Is SH parallel to CW?
orthogonality
(i) Line EI is orthogonal to line GC.
Choose the correct option. (i) Line EI is orthogonal to line GC. (ii) Line MJ is orthogonal to line GC.
shape
No, the arrow is pointing to a right triangle.
Is the arrow pointing to a triangle?
rel_pos
a is most likely to be the center of the peachpuff circle.
Which point is most likely to be the center of the peachpuff circle?
rotational_symmetry
Point J is most likely the center of 2-fold rotational symmetry.
Which point, out of Y, V, S, D, and J, is most likely the center of 2-fold rotational symmetry between triangles Triangle(CFK) and Triangle(QHX) in the image?
curvature
That point of smallest absolute curvature is A.
Among all the points placed on the curve, which has the smallest absolute curvature? You must pick your answer from Q, V, A. Pick from the parentheses to complete the statement: The point with the least absolute curvature is (Q/V/A). From the parentheses, select the point that exhibits the smallest absolute curvature: (Q/V/A). Choose your response from Q, V, A. Choose your response from Q, V, A.
cardinal_direction
line JT is located on the top left side of point G.
Between line JT and point G, which one is located on the top left side of the other?
curvature
The point that holds the highest absolute curvature is L.
Observe the marked points on the curve. Which one has the largest absolute curvature? The valid response is in L, O, K. Choose the correct term in parentheses. The point of maximum absolute curvature is (L/O/K). Imagine that A is the point with the maximum absolute curvature. Then your answer is 'Answer : A'. Imagine that A is the point with the maximum absolute curvature. Then your answer is 'Answer : A'. Pick the correct point from among L, O, K. Decide which word in parentheses applies. The point that holds the highest absolute curvature is (L/O/K).
intersection
The boundary intersection count for the two shapes is 2개.
Determine the total count of intersection points formed by the boundaries of the two shapes. Pick the correct option in parentheses. The boundary intersection count for the two shapes is (2/3/4/5/6)개.
length
Line VU seems twice as long as line DH, so the answer is no.
True or False: line VU is thrice as long as line DH.
length
Circle B is bigger in radius than circle M.
Which circle is bigger in radius, B or M?
absolute_position
(2) line WH
There are several different objects in the image. When the image is divided into four quadrants, which object is in the bottom left quadrant? Answer with a single number between 1 and 2. (1) circle E (2) line WH
cardinal
A total of 4 heptagons can be seen in the image.
What is the total count of heptagons visible in the image?
adjacency
The elements adjacent to g are a, d.
In the image, a matrix is displayed with an element labeled g. Adjacency is defined by sharing edges vertically or horizontally. Which elements are adjacent to the g element? If the neighbors of g are 'x' and 'y', you should respond with 'x, y'. Pick the right labels from a, b, c, d, e, f, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z. Suppose 'L' and 'M' are next to g; then write 'L, M' as the answer. If the neighbors of g are 'x' and 'y', you should respond with 'x, y'. Your response should be one of the options listed in a, b, c, d, e, f, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z. Use the parentheses to fill in the blank: In the table, (a/b/c/d/e/f/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z) represents the elements adjacent to g. Pick the right labels from a, b, c, d, e, f, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z. From the parentheses, select the correct label for the elements adjacent to g. Those elements are (a/b/c/d/e/f/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z). If 'P' and 'Q' are directly adjacent to g, then you must answer 'P, Q'.
intersection
Yes, the total intersection points amount to 3.
Could you find the number of intersections between the line segment RJ and the curve WX? You must choose your answer from among 2, 3, 4.
curvature
The point of maximum absolute curvature is E.
Several points are marked on the curve. Identify the point that exhibits the maximum absolute curvature. Choose the correct term in parentheses. The point of maximum absolute curvature is (Q/E/R).
OCR
S is not in the image.
(E / S / C / P / D / none) is not in the image. What is the correct choice?
angle
Yes, the angle DJP is acute.
Is the angle DJP acute?
intersection
Yes, the curve RU intersects with the curve YF.
Are we seeing an intersection between the curve RU and the curve YF?
area
Category M represents the highest proportion.
Refer to the pie chart in the image that includes three segments. Which segment represents the highest proportion? Select from M, F, or Z.
sharpness
No, the curve is not smooth.
Is the curve in the image smooth?
rotation
The heart formed by a 45-degree rotation of A is M.
In the picture, out of hearts H, Q, and M, which one can be formed by a 45-degree rotation of A?
adjacency
The elements that are adjacent to A in the given table are i, 1, p, d.
In the image, a matrix is displayed with an element labeled A. Adjacency is defined by sharing edges vertically or horizontally. Which elements are adjacent to the A element?
area
Category V represents the highest proportion.
Refer to the pie chart in the image that includes six segments. Which segment represents the highest proportion? Select from U, K, Z, X, V, or H.
area
Category L has the largest ratio.
In the image, there is a pie graph with six categories. Which category has the largest ratio? Choose from K, Y, G, V, W, and L.
ordinal
The letter that is fifth from the above is the letter R.
There are several letters in the image. What is the letter that is fifth from the above? You should also consider its case.
cardinal_direction
The circle H is located on the top side of the point Y.
Which side of the point Y is the circle H located, top or bottom?
direction
The answer is the arrow 2. It is pointing to the up-left.
Choose the arrow in the picture that is pointing to the up-left.
area
Category J represents the highest proportion.
Refer to the pie chart in the image that includes five segments. Which segment represents the highest proportion? Select from E, R, J, I, or Z.
sharpness
No, the curve is not smooth.
Is the curve in the image smooth?
length
Line UZ seems twice as long as line CF, so the answer is yes.
True or False: line UZ is twice as long as line CF.
curvature
The point that exhibits the smallest absolute curvature is R.
Among all the points placed on the curve, which has the smallest absolute curvature? You must pick your answer from U, T, H, B, K, L, R.
tangency
Yes, the line and curve meet at a tangent point.
Look at the figure with one line and one curve. Do they meet at exactly one point of tangency?
absolute_position
The line HF is located on the top right side of the figure.
Which side of the figure is the line HF located, top right, top left, bottom right, or bottom left?
orthogonality
The foot of F is E.
Which is the foot of the dot F? Choose from : E, I.
orthogonality
Line JH would be orthogonal to TU.
Among the lines PX, JH, OL, which would be orthogonal to TU?
adjacency
The elements that are adjacent to m in the given table are h, f, j, d.
In the image, a matrix is displayed with an element labeled m. Adjacency is defined by sharing edges vertically or horizontally. Which elements are adjacent to the m element? If the neighbors of m are 'x' and 'y', you should respond with 'x, y'. Pick the right labels from a, b, c, d, e, f, g, h, i, j, k, l, n, o, p, q, r, s, t, u, v, w, x, y, z.
length
False, it is only three times as long.
True or False: line UE is four times as long as line AE?
connectedness
No, the line between points J and C does not remain unbroken.
Are points J and C joined by a line with no breaks?
line
YQ.
Between YQ and NM, which is NOT the line present in the image?
symbol
The correct word is russet.
There are words in the image. Which word is symboled as correct?
area
Category D holds the highest ratio.
Based on the pie graph featuring two categories in the image, which category holds the highest ratio? Select from D and I.
point
Label 7 denotes the label of the only point in the picture.
The only point in the picture is labeled with the label right nest to it. Which label among 2, 0, 7, 6, and 1 denotes the label of the only point in the picture?
angle
The angle JIO is acute.
Which angle is acute, JIA or JIO?
overlap
The interiors of the triangles are not distinct and overlap.
Look at the two triangles in the image. Do their interiors overlap?
ordinal
The letter that is second from the above is the letter s.
There are several letters in the image. What is the letter that is second from the above? You should also consider its case.
cardinal_direction
The line KP is located on the left side of the line FV.
Which side of the line FV is the line KP located, left or right?
coordinate
Y, B
Identify the pair of points with identical x coordinates.
absolute_position
point Q
In the image, there are several different objects. Which object is in the bottom right of the image? Choose from : line DO, line FJ, line CB, point A, line VL, point T, circle G, point Q, circle Y, .
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