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Diagrammatic Reasoning Test 1

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1. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is B

Set A: Each box contains exactly one shaded star and two stars behind the lines.

Set B: Each box contains exactly one shaded star and one star behind the lines.

Figure The Figure contains one shaded star and one star behind the lines.

2. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: Each box has exactly one matching pair of shapes. Both of these shapes are shaded.

Set B: Each box has exactly one matching pair of shapes. Both of these shapes are unshaded. The other shapes are shaded.

Figure The Figure contains one matching pair of shapes: the triangles. Both of these triangles are shaded.

3. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is B

Set A: Each box contains five lines and two circles.

Set B: Each box contains four lines and two circles.

Figure The Figure contains four lines and two circles.

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4. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is B

Set A: Each box contains exactly four crossed circles.

Set B: Each box contains exactly three shaded circles.

Figure The Figure contains three shaded circles.

5. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is C

Set A: Each box contains symbols with curved edges.

Set B: Each box contains symbols with only straight edges.

Figure The Figure contains symbols with both curved and straight edges.

6. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is B

Set A: The total number of crossed boxes is equal to the total number of stars. The total number of shaded boxes is equal to the total number of circles.

Set B: The total number of crossed boxes is equal to the total number of circles. The total number of shaded boxes is equal to the total number of starts.

Figure There are four shaded boxes and four stars. There are three crossed boxes and three circles.

7. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: Each shape is made up of three segments.

Set B: Each shape is made up of four segments.

Figure The shape in the Figure consists of three segments.

8. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: For each unshaded shape, there is an identical, shaded shape.

Set B: For each shaded shape, there are two identical unshaded shapes.

Figure For each unshaded shapes, there is an identical shaded shape.

9. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is B

Set A: Each house has exactly three windows.

Set B: Each house has exactly four windows.

Figure The house in the Figure has four windows.

10. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is C

Set A: Each box contains one striped square, one shaded square and two unshaded squares.

Set B: Each box contains two striped squares, one shaded square and one unshaded square.

Figure The Figure contains two shaded squares and two striped squares.

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11. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is B

Set A: Each box contains three different shapes.

Set B: Each box contains two different shapes.

Figure The Figure contains two circles and one square - two different shapes.

12. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: Each box contains an even number of stars.

Set B: Each box contains an odd number of stars.

Figure The Figure contains an even number of stars.

13. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is C

Set A: Only the squares are shaded.

Set B: Only the circles are shaded.

Figure The Figure contains a shaded square and a shaded circle.

14. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: The bottom rectangle is created by superimposing the top two rectangles.

Set B: The bottom rectangle is identical to the top triangle.

Figure The bottom rectangle is created by superimposing the top two rectangles.

15. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: From left to right, the shapes alternate between shaded and unshaded.

Set B: From left to right, the second and last shape in each box is shaded.

Figure From left to right, the shapes alternates between shaded and unshaded.

16. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is B

Set A: Each flower has four shaded petals.

Set B: Each flower has five shaded petals.

Figure The Figure has five shaded petals.

17. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: For every shape inside the large dotted circle, there is an identical shape outside of it.

Set B: All of the shapes in each box, whether inside or outside of the dotted circle, are unique.

Figure For each shape inside the dotted circle, there is an identical shape outside of it.

18. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is C

Set A: Wherever there is a crossed square, there is a corresponding circle located on the edge of the box. When the centre square is shaded, the circles are shaded.

Set B: Wherever there is a crossed square, there is a corresponding circle located on the edge of the box. When the centre square is shaded, the circles are unshaded and vice versa.

Figure There is a missing circle, so the Figure does not match either set.

19. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: In each box, the total number of lines in the shape is equal to the total number of edges on that shape.

Set B: In each box, the total number of lines is one less than the total number of edges on that shape.

Figure The shape has four edges and there are four lines.

20. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: Each box contains five shaded circles.

Set B: Each box contains five unshaded circles.

Figure The Figure contains five shaded circles.

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21. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is B

Set A: Each box contains two shapes: one with two dotted edges and one with one dotted edge.

Set B: Each box contains two shapes: both with one dotted edge.

Figure Each shape in the box has a single dotted edge.

22. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is B

Set A: The shaded star is located at the opposite corner from the missing segment of the circle.

Set B: The shaded star is located at the same corner as the missing segment of the circle.

Figure The shaded star and missing segment of the circle are at the same corner.

23. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: Each box contains exactly two unshaded, empty circles.

Set B: Each box contains exactly one unshaded, empty circle.

Figure The Figure contains exactly two unshaded, empty circles.

24. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is C

Set A: Each box contains four shaded shapes.

Set B: Each box contains three shaded shapes.

Figure The Figure contains five shaded shapes.

25. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: In each box, the horizontal bar is longer than the vertical bar.

Set B: In each box, the vertical bar is longer than the horizontal bar.

Figure The horizontal bar is longer than the vertical bar.

26. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: Each box contains 5 cubes.

Set B: Each box contains four cubes.

Figure The Figure contains five cubes.

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27. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: The lines in each box never intersect.

Set B: The lines in each box intersect.

Figure The lines do not intersect with each other.

28. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is A

Set A: Each box contains exactly three half shaded squares.

Set B: Each box contains exactly two half shaded squares.

Figure The Figure contains three half shaded squares.

29. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is C

Set A: In Set A, only the stars are shaded.

Set B: In Set B, only the diamonds are shaded.

Figure Both the stars and the diamond are shaded.

30. Which set does the Figure belong to?

  • (A) Set A
  • (B) Set B
  • (C) Neither set A nor set B

The correct answer is C

Set A: The total number of edges on the centre shape is equal to the number of shaded circles.

Set B: The total number of edges on the centre shape is equal to the number of unshaded circles.

Figure The centre shape has four edges, there are five shaded shapes and three unshaded shapes.