Datasets:

jing-bi
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verify-teaser

uid stringlengths 36 36	question stringclasses 8 values	options sequencelengths 4 4	reasoning stringlengths 315 1.21k	answer stringlengths 1 12	year int32 2.02k 2.02k
b79ba422-23ee-4ef8-8949-2821efa139b8	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The first set of figures should be observed primarily; all are the same hexahedron. Figure 1 is rotated clockwise horizontally to obtain Figure 2, and Figure 2 is rotated clockwise horizontally again to obtain Figure 3. The second set of figures applies this rule: verifying that the transition from Figure 1 to Figure 2 satisfies this rule. Therefore, the figure in the "?" position should be obtained by rotating Figure 2 as a whole clockwise horizontally, resulting in the top face being a square grid and the left face being a diagonal line. Thus, the correct answer is B.	b	2,022
ccf33b54-59b0-4676-a7ae-e0dad8361659	Choose the option that follows the given pattern of figure transformation.	[ "a", "b", "c", "d" ]	Correct answer: A, common misconception: C. Explanation: Step 1, observe the characteristics. The composition of the figures is the same, suggesting a dynamic positional class. Step 2, analyze from left to right to identify the pattern. The five positions - left, right, top, bottom, and middle - each have their own movement path. Specifically, the figure in the left position moves to the top, the one in the right position moves to the left, the one in the top position moves to the bottom, the one in the bottom position moves to the middle, and the one in the middle moves to the right. Only option A aligns with this pattern. Therefore, select option A.	a	2,021
ce277b67-fca3-4ffc-bcd9-a0a27116226d	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The composition of elements differs, and there is no obvious property rule. Instead, priority is given to the rule of quantity. The stem consists of multiple small elements, considering the number of primes among them. The number of white elements are: 1, 2, 3, 5, ?, with no apparent rule. However, upon closer inspection, it is discovered that there exists a calculation rule: 1+2=3, 2+3=5, etc. Therefore, the ? should be 3+5=8, which eliminates options A and C. The number of black elements are: 2, 0, 2, 2, ?, with a similar calculation rule: 2+0=2, 0+2=2, etc. Hence, the ? should be 2+2=4, corresponding to option B. Thus, the correct answer is B.	b	2,020
8a1df474-0bb5-466f-bae5-bd144f6f7796	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "①②③，④⑤⑥", "①②⑤，③④⑥", "①③⑤，②④⑥", "①③⑥，②④⑤" ]	The compositions of the elements differ, and the question stem features obvious isosceles elements such as ellipses and triangles. As a result, symmetry should be given priority consideration. Upon observation, it can be seen that figures ①, ③, and ⑥ are all axisymmetric and centrosymmetric shapes, while figures ②, ④, and ⑤ are only axisymmetric. This means that figures ①, ③, and ⑥ form one group, and figures ②, ④, and ⑤ form another. Therefore, the correct answer is D.	①③⑥，②④⑤	2,023
601cf7ed-8fd7-444b-a20a-acc155721fcc	Choose the most appropriate option to fill in the question mark so that both sets of figures share similarities while maintaining their distinct characteristics.	[ "a", "b", "c", "d" ]	The composition of the elements is similar, with priority given to stylistic patterns. In the first set of diagrams, Diagram 1 has vertical lines on both sides at the top, while Diagram 2 does not. Moving to Diagram 3, the two vertical lines at the top are retained, indicating that the rule is derived by finding the difference between Diagrams 1 and 2 to obtain Diagram 3. The second set of diagrams should also follow this rule. In the second set, Diagram 1 has no horizontal line at the top, while Diagram 2 has a partial horizontal line on the left side. After removing the common elements and seeking the difference, the horizontal line should be retained on the upper-left side, which is only consistent with option A. Therefore, the correct answer is A.	a	2,020
35849fc8-590c-47c6-9ba8-c0ca7e873e81	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "①②④，③⑤⑥", "①③⑥，②④⑤", "①④⑤，②③⑥", "①⑤⑥，②③④" ]	This question is a categorization problem. The elements are composed differently and do not have an obvious attribute pattern, so we consider the quantitative rule. Each figure in the stem has multiple identical small elements, and we prioritize considering the number of identical elements. In figures ①, ④, and ⑤, the number of identical elements is 3, while in figures ②, ③, and ⑥, the number of identical elements is 2. Therefore, figures ①, ④, and ⑤ form one group, and figures ②, ③, and ⑥ form another group.	①④⑤，②③⑥	2,023
14c54404-74ca-4fcd-8d5b-8cfbd70948e7	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	Observing the graphic features of the question stem, we find that the first group of figures all involve two shapes intersecting with each other. The shapes of their intersection areas are a triangle, quadrilateral, and pentagon, respectively, which satisfies the rule that the number of sides of the intersection area increases sequentially. In the second group, applying this rule, the shapes of the intersection areas are a hexagon and a heptagon. Therefore, at the location marked with a question mark, the shape of the intersection area should be an octagon. Among the options provided, the shapes of their intersection areas are a pentagon, triangle, quadrilateral, and octagon, respectively. Thus, only option D conforms to this rule. Hence, the correct answer is D.	d	2,020
c824aa03-d281-450c-9cdb-d64964f0f47d	Choose an option whose 3D shape can be formed by folding the given figure on the left.	[ "a", "b", "c", "d" ]	The correct answer is C, and the distractor is B. Analysis: Step 1: This question tests the ability to understand 3D objects through folding paper boxes. To analyze the unfolded faces of the figure, we assign numbers to each face as shown below: Step 2: Analyze the options. Option A: The two side faces are opposite each other in the unfolded figure and cannot appear simultaneously, so it is eliminated; Option B: In the unfolded figure, there is a small square with a diagonal line and two trapezoids with diagonal lines that intersect at one point. However, the option does not show this intersection, so it is eliminated; Option C: The relative positions of the faces and the pattern characteristics in the option are consistent with the unfolded figure; Option D: Similar to Option B, the unfolded figure has a small square with a diagonal line and two trapezoids with diagonal lines that intersect at one point. However, the option does not show this intersection, so it is eliminated. Therefore, Option C is the correct choice.	c	2,021
9236dd22-0f38-434a-9c31-d67e5175f4d1	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "1 4 6，2 3 5", "1 3 5，2 4 6", "1 2 4，3 5 6", "1 5 6，2 3 4" ]	This question is a classification problem. The elements are composed differently, with no apparent attribute pattern, so we consider the quantitative pattern. Upon observation, it's discovered that each diagram contains 4 elements, and there are always two identical elements. In diagrams ①, ④, and ⑥, the identical elements are relative to each other, while in diagrams ②, ③, and ⑤, the identical elements are adjacent to each other. Therefore, diagrams ①, ④, and ⑥ belong to one group, and diagrams ②, ③, and ⑤ belong to another group. Hence, the correct answer is A.	1 4 6，2 3 5	2,023
37c97dd1-219a-41a0-a722-67e19c545b9c	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "1 5 6, 2 3 4", "1 2 5, 3 4 6", "1 2 4, 3 5 6", "1 3 5, 2 4 6" ]	The components have different compositions, with priority given to the law of attributes. Since symmetry and curvature do not exhibit obvious patterns, consider the property of being open or closed. Figures 1, 5, and 6 all contain enclosed regions, while figures 2, 3, and 4 are all fully open shapes. This categorizes them into two groups: one consisting of figures 1, 5, and 6, and another comprising figures 2, 3, and 4. Therefore, the correct answer is A.	1 5 6, 2 3 4	2,020
a01bfc07-7628-413d-8d2b-2c8788cade92	Choose the option that follows the given pattern of figure transformation.	[ "a", "b", "c", "d" ]	Correct answer: B, common error: C. Explanation Step 1: Observe the characteristics. The composition of the figures is similar, and we should consider the style category. Step 2: Identify the pattern in the first row, verify it in the second row, and apply it in the third row. In the first row, after superimposing the six diagrams, a complete square is formed. After verification in the second row, it conforms to this rule. Applying the rule in the third row, only option B fits. Therefore, we choose option B.	b	2,021
99189d12-f686-483e-bc6d-1eccdf109253	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The question presents a 3x3 grid problem, where elements are composed similarly, and stylistic patterns take priority. Upon observation, it is evident that the figures in the question are all constructed from black dots and white dots, suggesting consideration of binary operations based on black and white. According to the first row, the operational rule can be inferred as follows: black + black = white; black + white = black; white + black = black; white + white = black. The second row verifies that it conforms to this operational rule. Moving to the third row, the top-left corner is white + white = black, which eliminates options B and D. Comparing options A and C, the colors in the bottom-right corners differ, indicating that the operation should yield "black + white = black". Therefore, based on this reasoning, option C is the correct choice. Consequently, the correct answer is C.	c	2,020
c14efcf7-2533-47b4-a038-01f336457f8c	Divide the following six figures into two groups based on their pattern and select the correct classification method.	[ "1 3 4，2 5 6", "1 2 6，3 4 5", "1 4 5，2 3 6", "1 4 6，2 3 5" ]	This question is a categorization problem that requires analyzing the composition of elements and prioritizing attribute patterns. Upon observation, it's evident that the figures in the question are relatively symmetrical, suggesting consideration of symmetry. Figures ①, ④, and ⑤ form one group, where the axis of symmetry passes through two lines within each figure, and these lines are perpendicular to the axis of symmetry. Conversely, figures ②, ③, and ⑥ form another group, where the axis of symmetry passes through two intersection points. This corresponds to option C. Therefore, the correct answer is C.	1 4 5，2 3 6	2,020
3c2f07b1-7458-425b-9f83-32cb3577dcaa	Choose the most appropriate option to fill in the question mark so that both sets of figures share similarities while maintaining their distinct characteristics.	[ "a", "b", "c", "d" ]	The elements have different compositions and no obvious attribute patterns, so priority is given to considering quantitative rules. The stem presents multiple closed spaces, suggesting a consideration of the number of surfaces. However, each figure in the stem has 3 surfaces, and options A, B, C, and D all have 3 surfaces as well, making it impossible to select a unique answer. Further observation reveals that the first set of figures has border lines numbering 4, 5, and 6, respectively, following an increasing pattern; the second set has border lines numbering 1 and 2. Therefore, the figure in the question mark position should have 3 border lines. Option C satisfies this condition. Thus, the correct answer is C.	c	2,020
992cebc7-4a01-49b8-b369-ab5b5a54f84a	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "①③④，②⑤⑥", "①③⑤，②④⑥", "①②⑥，③④⑤", "①④⑥，②③⑤" ]	This question is a classification problem, with different element compositions and prioritizing attribute patterns. Upon observation, it is noted that the figures in the stem are all composed of black and white parts. In figures 1, 2, and 6, the white parts are all axially symmetrical shapes, while in figures 3, 4, and 5, the white parts are all radially symmetrical (or centrally symmetrical) shapes. Therefore, figures 1, 2, and 6 belong to one group, and figures 3, 4, and 5 belong to another group. Consequently, the correct answer is C.	①②⑥，③④⑤	2,021
291fc146-8855-4346-9566-7a3d0b126032	Choose the option whose pattern is different from the other three.	[ "a", "b", "c", "d" ]	The graphic elements are composed differently and do not exhibit an obvious attribute pattern, so we consider the numerical rule. Upon observation, it is discovered that the figures in the question stem are all divided into enclosed regions, giving priority to the number of surfaces. Further observation reveals that there is no pattern in the total number of surfaces, and other quantities also lack a pattern. Analyzing the characteristics of each surface further, it is found that the shapes within the surfaces of options A, C, and D are all triangles, whereas only option B has surfaces with quadrilateral shapes. This question requires selecting the odd one out; therefore, the correct answer is B.	b	2,023
7f84e19a-02c5-4894-a38f-2b81fb5f74a3	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The elements have different compositions and do not exhibit an obvious attribute pattern, so priority is given to considering the numerical pattern. Since the closed surface of the graphics is prominent, priority is given to considering the number of surfaces. Upon observation, it is discovered that the number of surfaces of the graphics in the question stem are 0, 1, 2, and 3, forming an increasing arithmetic sequence. Therefore, the number of surfaces of the graphic at ? should be 4. Option A has 4 surfaces, option B has 5 surfaces, option C has 3 surfaces, and option D has 6 surfaces. Only option A meets the requirements.	a	2,020
9e4184de-6ef9-40aa-87a2-3f346a0b50a6	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "1 4 6, 2 3 5", "1 5 6, 2 3 4", "1 2 6, 3 4 5", "1 3 6, 2 4 5" ]	This question is a categorization problem. The elements have the same composition but lack an obvious positional pattern or attribute pattern, so we consider a numerical pattern. Upon observation, it's noticed that the black balls in the stem figures are all divided into two parts. Let's analyze the number of black balls in each part. In Figures 1, 4, and 6, the number of black balls is divided into two parts as 2 and 4; in Figures 2, 3, and 5, the number of black balls is divided into two parts as 1 and 5. Therefore, Figures 1, 4, and 6 form one group, while Figures 2, 3, and 5 form another.	1 4 6, 2 3 5	2,024
74d9b672-5533-4be8-b055-4b73d2651080	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The elements are composed differently and do not exhibit an obvious property rule, so we consider the quantitative rule. Upon observation, it is clear that the figures in the question intersect significantly and have distinct cutting points. Let's analyze the number of cutting points: In the first set of figures, the cutting points are 0, 1, and 2, respectively. In the second set of figures, the cutting points are 2, 3, and ?, so the figure at ? should have 4 cutting points. Only option A meets this condition. Therefore, the correct answer is A.	a	2,023
0b67da90-6a81-4b30-9051-916268dbb6b9	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The elements are composed of the same components, with priority given to positional patterns. The 3x3 grid figures are examined row by row, and upon observing the first row, it is discovered that Figure 1 can be transformed into Figure 2 through a clockwise rotation of 90 degrees, while Figure 2 can be transformed into Figure 3 through left-right flipping. This pattern holds true for the second row as well. Therefore, based on this logic, the figure in the question mark position should be obtained by flipping Figure 2 in the third row from left to right. Among the four options provided, only option C satisfies this condition. Hence, the correct answer is indeed C.	c	2,020
b243e601-ed3f-40f5-9049-e66fc84864fa	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The elements are composed of the same components, with priority given to the law of position. Upon observation, it is discovered that the second and third diagrams in the first group are identical to the second and first diagrams in the second group, respectively, but have undergone a left-to-right flip. Therefore, the second group of diagrams is obtained by flipping the first group of diagrams as a whole from left to right. Consequently, the diagram at the ? position should be obtained by flipping the first diagram in the first group from left to right, corresponding to option C.	c	2,022
8021c293-0b78-4782-8148-0af6f9e50424	Choose the most appropriate option to fill in the question mark so that both sets of figures share similarities while maintaining their distinct characteristics.	[ "a", "b", "c", "d" ]	The elemental composition is distinct and dissimilar, and the question features lifelike, coarse-line graphics, prioritizing attribute rules. Upon observation, it is noted that the first set of figures are all axisymmetric, and the first two figures in the second set are also axisymmetric. Therefore, the '?' should also be an axisymmetric figure, with only option B being consistent. Thus, the correct answer is B.	b	2,020
f50232df-bbed-406e-ac6e-07d74521f1f9	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "A", "B", "C", "D" ]	The composition of the elements is the same, with priority given to positional patterns. Observing the first set of figures above, it can be seen that Figure 1 is flipped left and right around Figure 2 to obtain Figure 3, and then Figure 3 is flipped up and down around Figure 4 to obtain Figure 5. Applying this rule to the second set of figures below, Figure 1 is flipped up and down around Figure 2 to obtain Figure 3, and then Figure 3 is flipped left and right around Figure 4 to obtain the figure in position ?. Only option B conforms to this pattern. Therefore, the correct answer is B.	B	2,023
7cb4b705-89f3-4482-b625-bddf8e926b59	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "A", "B", "C", "D" ]	The composition of the elements is different, and there is no obvious attribute rule. The priority consideration should be given to the quantitative rule. Upon observation, it is discovered that all the figures in the question stem have circles, and the lines clearly divide each circle into multiple sections. Therefore, the number of sections within each circle should be taken into account. From left to right, the number of sections within the circles in the question stem figures are 1, 2, 3, 4, and 5. Consequently, the number of sections within the circle at the '?' position should be 6. Option A has a circle with 6 sections, option B has 5 sections, option C has 9 sections, and option D has 2 sections. Only option A conforms to this rule.	A	2,021
cc98d147-7d8b-4fc2-b48e-24386a43fc1b	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "1 2 3, 4 5 6", "1 3 5, 2 4 6", "1 4 5, 2 3 6", "1 5 6, 2 3 4" ]	The elements have different compositions and do not exhibit an obvious attribute pattern, so we consider the quantitative rules. Upon observation, it is clear that the figures in the problem are distinctly divided, leading to a consideration of the number of surfaces. Figures 1, 5, and 6 all have 6 surfaces, while figures 2, 3, and 4 all have 9 surfaces. This means that figures 1, 5, and 6 form one group, and figures 2, 3, and 4 form another group. Therefore, the correct answer is D.	1 5 6, 2 3 4	2,022
273ab69d-08ba-44f3-8856-a9190f4edc7a	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The elements have different compositions and do not exhibit an obvious attribute pattern, so we consider the quantitative rules. Upon observation, it is noted that each figure consists of both black and white shapes. To simplify, let's examine them separately, focusing on the number of edges in each simple polygon. The number of edges in the black shapes follows the sequence 5, 3, 4, 5, 6, while the number of edges in the white shapes follows the sequence 4, 4, 3, 6, 5. Initially, these sequences appear to lack a pattern. However, upon closer inspection and considering the operation of subtraction, we find that for figures 1, 3, and 5, the difference between the number of edges in the black shape and the white shape is 1 (black - white = 1). Conversely, for figures 2 and 4, the difference shows the opposite pattern, where the number of edges in the white shape minus the number of edges in the black shape equals 1 (white - black = 1), indicating an alternating rule. Thus, applying this logic to the figure marked '?', we would expect the difference between the number of edges in the white shape and the black shape to be 1. Among the options provided, only option A satisfies this condition.	a	2,024
5a86aeba-221c-4dec-b6dd-a0456a722e67	Choose the most appropriate option to fill in the question mark so that both sets of figures share similarities while maintaining their distinct characteristics.	[ "a", "b", "c", "d" ]	The elements are composed of similar components, consisting of solid lines and dotted lines, with a priority on style patterns. Upon observing the first set of figures, it is noticed that the pattern follows: solid line, solid line, dotted line; dotted line, solid line, solid line; and dotted line, dotted line, dotted line. Applying this rule to the second set of figures, the top one is identified as dotted line, dotted line, dotted line, thus eliminating options B and D. Observing options A and C, it is found that the bottom two lines are different. However, in the question stem of the second set of figures, the bottom two lines are consistently solid line, dotted line. Therefore, the result should be consistent, and only option C conforms to this rule. Hence, the correct answer is C.	c	2,020
160a408d-6013-4fc6-b7b3-0f629900c63b	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "A", "B", "C", "D" ]	The elements are composed differently, with priority given to the law of attributes. The graphics in the question stem are regular and symmetrical, considering axial symmetry. Observing the axis of symmetry, the number of axes of symmetry in the question stem is sequentially 2, 1, 2, 1, 3, without an obvious pattern. Since there is no rule for attributes, we consider the rule of quantity. Upon re-examining the graphics, it's discovered that figures 1 and 5 feature 'intersecting circles,' which is a characteristic figure based on the number of strokes. The number of strokes in the question stem is sequentially 1, 1, 2, 2, 1, without a rule. The lines in the question stem graphics intersect clearly, so we consider the number of intersection points. The number of intersection points in the question stem is sequentially 2, 3, 4, 5, 6, ?, meaning that at the '?' position, we should choose a graphic with 7 intersection points. The options' intersection points are sequentially 18, 8, 7, 8; thus, option C is consistent. Therefore, the correct answer is C.	C	2,020
4a93506b-13c2-444c-af45-ea108fa1b751	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	Elements with the same composition prioritize spatial rules. Upon observation, after labeling the black balls in sequence (as shown below), it is evident that the 7th and 9th black balls remain stationary, while all other black balls move up three grids in a cyclical manner. Only option B conforms to this pattern.	b	2,023
28782fdd-9abf-4503-9f99-7d98b70101c2	Choose the most appropriate option to fill in the question mark so that both sets of figures share similarities while maintaining their distinct characteristics.	[ "a", "b", "c", "d" ]	The composition of the elements is the same, with priority given to the law of position. Observing the first set of diagrams reveals that each diagram consists of four types of elements: triangles, circles, squares, and blank spaces. Moreover, each type of element exhibits noticeable positional changes, suggesting a translation pattern. Specifically, in the first set of diagrams, each small element is translated one grid counterclockwise in succession. Applying this rule to the second set of diagrams, it can be inferred that the triangle at the ? position should be located in the bottom-right corner of the cross-shaped grid. Among the options provided, only option B aligns with this deduction. Therefore, the correct answer is indeed B.	b	2,021
85963cea-2cee-44e7-aeb0-51c61d78c38a	Choose the most appropriate option to fill in the question mark so that both sets of figures share similarities while maintaining their distinct characteristics.	[ "a", "b", "c", "d" ]	The constituent elements of the graphics are different, with no obvious attribute rules, so we consider the numerical rules. Each graphic in the question stem appears with an arc, and there are many arcs, so we consider counting the curves. The number of curves in the first group of graphics is 2, 3, and 2, respectively, while the second group has 5 and 3 curves, showing no regular pattern. Upon further observation, it's noticed that each graphic also contains lines, with a relatively large quantity, leading to consideration of counting the lines. The number of lines in the first group is 4, 4, and 2, respectively, and in the second group, it's 6 and 3. Subtracting the number of curves from the number of lines in the first group yields differences of 2, 1, and 0, which follow a decreasing arithmetic sequence. For the second group, the differences are 1 and 0. Therefore, for the question mark, we need to select a graphic where the difference between the number of lines and curves is -1; only option A meets this criterion. Hence, the correct answer is A.	a	2,023
8ca5b44b-19af-46f3-9d30-d8c523b884d7	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "①②③，④⑤⑥", "①②⑥，③④⑤", "①②④，③⑤⑥", "①④⑥，②③⑤" ]	This question involves a classification task based on grouping. The elements are composed differently and do not exhibit an obvious attribute pattern, so we consider the numerical pattern. Each figure consists of black circles and white circles, with some black and white circles being separated. Upon closer inspection, it is observed that figures 1, 2, and 6 have two parts in their white sections, while figures 3, 4, and 5 have three parts in their white sections. Therefore, figures 1, 2, and 6 form one group, and figures 3, 4, and 5 form another group. Only option B meets this criterion. Hence, the correct answer is B.	①②⑥，③④⑤	2,020
e08a92d2-35d5-438e-8bfd-42839b05deab	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The components are composed of different elements, and there is no obvious attribute rule. Priority should be given to considering the quantitative rule. Upon observing the graphic in the question stem, it is discovered that the graphic has an obvious division. Although the number of surfaces does not follow a specific rule, further observation reveals that the divided graphics contain numerous triangles with clear right angles. This leads us to consider the quantity of single right angles. The quantity of single right angles for each graphic in the question stem are 2, 3, ?, 5, and 6 respectively. Therefore, the missing value should be 4. Among the options provided, only option B satisfies this condition.	b	2,023
789bb085-32d4-472e-95eb-b617bfc0765f	Which one of the four given options should be removed so that the remaining sequence of shapes exhibits a certain regularity?	[ "a", "b", "c", "d" ]	The graphic elements are composed differently and do not follow a clear attribute pattern, so we consider the quantitative pattern. Upon observation, it is noticed that the graphics are divided, with distinct enclosed surfaces, leading to consideration of the number of surfaces. Both the question stem's graphic and the options all have 3 surfaces, making it impossible to eliminate based on this criterion alone. Thus, we move on to consider the refinement of these surfaces. It is discovered that the two graphics in the question stem are each composed of 2 triangular surfaces and 1 quadrilateral surface. Observing the options, only option B is composed of 3 triangular surfaces without any quadrilateral surfaces, which cannot form a regular pattern with the question stem. Therefore, only option B does not conform to the rule.	b	2,021
769cb112-8415-4d4d-8cab-4c2104433051	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The graphic elements are composed of similar styles, prioritizing stylistic rules. Upon observation, it is discovered that the figures in the question stem are all constructed from black and white balls, suggesting consideration of binary operations. The 3x3 grid is examined horizontally first, with the rule for the first row being: black + white = white, white + white = black, white + black = white, and black + black = empty. Experimental verification confirms that this rule applies to the second row. When applying this rule to the third row, only option B conforms to it.	b	2,024
338b4bd4-7f06-4478-bd4d-db6787451ab8	Choose the option that follows the given pattern of figure transformation.	[ "a", "b", "c", "d" ]	The composition of the elements is identical, with priority given to positional rules. Observation reveals that the graphics in the question stem are all composed of two layers stacked on top of each other. The lower layer features a circle with an inscribed five-pointed star, while the upper layer consists of a gray semicircle with a hollow small circle removed from it. The lower-layer graphic remains unchanged, whereas the upper-layer graphic undergoes a counterclockwise rotation in sequence. Therefore, for the graphic at the '?' position, the gray semicircle with the removed small circle on the upper layer should be located in the lower-left corner. This eliminates options C and D. Comparing options A and B, it is observed that since the five-pointed star is inscribed within the larger circle in the lower layer, it is impossible to see the entire angle of the star through the small circular hole removed from the upper layer. This rules out option B, leaving only option A as conforming to the rule.	a	2,023
77f49ff5-9bef-4da3-b6de-b4b61ffd36d9	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The graphic elements are composed differently, with no apparent attribute pattern. Therefore, we should consider the numerical pattern. The figures in the question stem are clearly segmented, so priority is given to considering the number of faces. It is observed that each figure in the question stem has 4 faces, which allows us to exclude option A. Further observation reveals that each figure in the question stem is composed of several connected shapes, and we can also consider the relationships between these shapes. Each figure in the question stem contains a black block, and upon closer inspection, it is found that each black block shares an edge with 3 white blocks. Among the options, only C satisfies this condition. Therefore, the correct answer is C.	c	2,023
86298969-a611-4d4b-b6a4-17b0b71aeb66	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ " 1 4 6, 2 3 5", "1 3 6, 2 4 5", "1 2 6, 3 4 5", "1 2 4, 3 5 6" ]	Elements have different compositions, with priority given to property rules. Upon observation, it is noted that figures 1, 2, and 4 are all axially symmetric shapes, while figures 3, 5, and 6 are all centrally symmetric shapes. Therefore, figures 1, 2, and 4 form one group, and figures 3, 5, and 6 form another group. Hence, the correct answer is D.	1 2 4, 3 5 6	2,020
6bc42657-1b63-494c-a49d-62c2390025da	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "①②⑥，③④⑤", "①②④，③⑤⑥", "①③④，②⑤⑥", "①③⑤，②④⑥" ]	This question is a classification problem. Upon observation, it can be noted that each figure in the stem is formed by the intersection of two surfaces, considering the relationship between figures. In figures 1, 2, and 4, the two shapes intersect at their edges, while in figures 3, 5, and 6, they intersect at a point. Therefore, figures 1, 2, and 4 belong to one group, and figures 3, 5, and 6 belong to another group. Hence, the correct answer is B.	①②④，③⑤⑥	2,022
154c4a38-4cf1-4747-aad5-370b36dfce80	Choose the most appropriate option to fill in the question mark so that both sets of figures share similarities while maintaining their distinct characteristics.	[ "a", "b", "c", "d" ]	The compositions of the figures differ, and there is no rule governing their attributes. Therefore, priority should be given to considering the rules of quantity. Upon observation, it is discovered that all the figures in the question stem are composed of black balls and white balls. Specifically, the first set of figures contains 5, 6, and 7 black balls respectively, and the second set of figures has 3 and 4 black balls in the first two figures. Consequently, the figure at the ? position should have 5 black balls. Only option D satisfies this condition. Thus, the correct answer is D.	d	2,023
4cbe7882-6b94-4878-9eb0-188de0c65870	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "1 3 6, 2 4 5", "1 2 5, 3 4 6", "1 5 6, 2 3 4", "1 3 5, 2 4 6" ]	This question is a classification problem. Upon observation, it is noticed that the figures in the stem all consist of multiple connected closed surfaces. Considering the relationships between the figures, we can see that in figures ①, ③, and ⑤, the closed surfaces share a common edge, whereas in figures ②, ④, and ⑥, the closed surfaces do not share a common edge (instead, they are connected through points or lines). Therefore, figures ①, ③, and ⑤ belong to one group, and figures ②, ④, and ⑥ belong to another group. Hence, the correct answer is D.	1 3 5, 2 4 6	2,021
a091068b-b461-4a51-b23e-d6bef13be05d	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The composition of elements differs, with priority given to the law of attributes. Upon observation, it is discovered that each figure as a whole does not exhibit any regular pattern. All figures in the question stem are composed of black and white balls. Considering them separately, further observation reveals that the white areas in each figure form axisymmetric shapes, with the axis of symmetry rotating 45° clockwise each time. Therefore, the missing figure's white area should also be an axisymmetric shape, with its axis of symmetry in the vertical direction. Option B's white area is an axisymmetric shape but with a horizontal axis of symmetry, while options C and D have non-symmetric white areas, thus excluding them. Only option A meets the criteria.	a	2,023
01403b42-1a55-42b4-b0cf-7286dc619511	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "①⑤⑥，②③④", "①②③，④⑤⑥", "①②⑥，③④⑤", "①③⑤，②④⑥" ]	This question is a classification item that involves grouping. The composition of the graphical elements differs, and priority should be given to considering the rule of attributes. Upon observing the figures in the question stem, it is discovered that figures ①, ⑤, and ⑥ are all fully open shapes, while figures ②, ③, and ④ all have enclosed regions. Therefore, figures ①, ⑤, and ⑥ belong to one group, and figures ②, ③, and ④ belong to another group.	①⑤⑥，②③④	2,020
cb99079f-d414-492f-9cdd-a1cd3e713d01	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The elements are composed differently, with priority given to the law of attributes. Upon observation, it is discovered that the stem contains fully straight lines and fully curved line graphics, giving priority to curvature. The 3x3 grid is prioritized in a horizontal manner; the first row has Figure 1 composed of full straight lines, Figure 2 composed of full curves, and Figure 3 composed of both straight and curved lines. Similarly, the second row follows the same pattern. Therefore, for the third row, the figure in the "?" position should be composed of both straight and curved lines. Only option D conforms to this rule, making it the correct choice. Hence, the correct answer is D.	d	2,021
3ba7a7ca-4474-4765-be7d-a9bed164e9d7	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "1 5 6, 2 3 4", "1 2 5, 3 4 6", "1 2 4, 3 5 6", "1 3 5, 2 4 6" ]	The elements are composed of different components, with priority given to the laws of attributes. Since symmetry and curvature do not exhibit obvious patterns, we consider the property of openness and closure. Figures 1, 5, and 6 all contain enclosed regions, while figures 2, 3, and 4 are all fully open, indicating that 1, 5, and 6 belong to one group, and 2, 3, and 4 belong to another. Therefore, the correct answer is A.	1 5 6, 2 3 4	2,020
fea8c41a-2ac3-4f56-8166-73df7ab93675	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The elements are composed of similar styles, prioritizing stylistic patterns, but after verification, no rules are found. Upon further observation, it is discovered that the figures are all clearly divided, leading to consideration of numerical rules based on the number of surfaces. In the first row of figures, the number of surfaces satisfies: 1+2=3; in the second row, the number of surfaces satisfies: 2+3=5. Therefore, for the third row of figures, the number of surfaces should satisfy: 3+5=(8). Options A, C, and D do not meet this condition, leaving option B as the correct choice. Hence, the correct answer is B.	b	2,021
f919ea01-c497-406a-b65f-174246853038	Classify the following six figures into two groups such that each group shares common characteristics or rules, and select the correct classification.	[ "①④⑥，②③⑤", "①③⑥，②④⑤", "①②⑥，③④⑤", "①②④，③⑤⑥" ]	The elements have different compositions, with a priority on attribute rules. Upon observation, it is discovered that figures 1, 2, and 4 are all axisymmetric shapes, while figures 3, 5, and 6 are all centrosymmetric shapes. Therefore, figures 1, 2, and 4 form one group, and figures 3, 5, and 6 form another group.	①②④，③⑤⑥	2,020
743df2fc-a105-48d4-ba7e-492ab13dee6e	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The elements are composed of the same components, but there is no obvious positional pattern. Upon observation, it is discovered that both the preceding and succeeding groups of figures in the question stem feature two black blocks, with a white block intervening between them. Therefore, the position marked by the question mark should follow this rule, and only option A conforms to it. Thus, the correct answer is A.	a	2,023
dfb1ab6f-8562-4ad7-98ef-9d7dee0f6a68	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The graphic elements are composed of the same components, with priority given to the rule of position. Upon observation, it is noted that the first set of images in the question stem rotates 90 degrees clockwise in sequence; the second set of images also follows this rotation rule. Therefore, the image at the question mark should be the result of rotating the second image in the set 90 degrees clockwise, and only option B conforms to this. Thus, the correct answer is B.	b	2,023
efbe112e-327a-4fe6-b4b5-5fcf70459c04	Choose the most appropriate option to fill in the question mark so that the figures follow a certain pattern.	[ "a", "b", "c", "d" ]	The composition of the elements differs, and there is no apparent rule for attributes, so consider the rule of quantity. Upon observation, it is discovered that multiple holes appear in the figure in the question, with a notable enclosed surface, prompting consideration of the number of surfaces. The number of surfaces of the figures in the first row are consecutively 1, 1, and 1. The number of surfaces of the figures in the second row are consecutively 2, 3, and 2. For the first two figures in the third row, their surface numbers are respectively 1, 0, and an unknown. Viewing them individually reveals no rule, so consider the operation on surface numbers. Observing horizontally shows no rule, but observing vertically reveals that the sum of the surface numbers for each column of figures is consistently 4. Therefore, the unknown should be a figure with a surface number of 1, which only option B satisfies.	b	2,020

VERIFY: A Benchmark of Visual Explanation and Reasoning for Investigating Multimodal Reasoning FidelitY

VERIFY is the first benchmark explicitly designed to assess the reasoning paths of MLLMs in visual reasoning tasks. By introducing novel evaluation metrics that go beyond mere accuracy, VERIFY highlights critical limitations in current MLLMs and emphasizes the need for a more balanced approach to visual perception and logical reasoning.

Details of the benchmark can viewed at the VERIFY project page.

🔔 Teaser:
This teaser is provided for interested users. Simply copy and paste the image to quickly try out the advanced O1 or Gemini model.

Usage

You can download this dataset by the following command (make sure that you have installed Huggingface Datasets):

from datasets import load_dataset
from IPython.display import display
dataset = load_dataset("jing-bi/verify-teaser")
example = dataset["test"][0]
print("Full example:", example)
display(example['image'])
print("Problem ID:", example['uid'])
print("Question:", example['question'])
print("Options:", example['options'])
print("Reasoning:", example['reasoning'])
print("Answer:", example['answer'])

Contact

For any questions or further information, please contact:

Jing Bi – jing.bi@rochester.edu

Citation

If you find this work useful in your research, please consider citing our paper:

@misc{bi2025verify,
    title={VERIFY: A Benchmark of Visual Explanation and Reasoning for Investigating Multimodal Reasoning Fidelity},
    author={Jing Bi and Junjia Guo and Susan Liang and Guangyu Sun and Luchuan Song and Yunlong Tang and Jinxi He and Jiarui Wu and Ali Vosoughi and Chen Chen and Chenliang Xu},
    year={2025},
    eprint={2503.11557},
    archivePrefix={arXiv},
    primaryClass={cs.CV}
}

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