Each of the following questions consists of two sets of figures. Figures A, B,…
2024
Each of the following questions consists of two sets of figures. Figures A, B, C and D constitute the Problem Set while figures 1, 2, 3, 4 and 5 constitute the Answer Set. There is a definite relationship between figures A and B. Establish a similar relationship between figures C and D by selecting a suitable figure from the Answer Set that would replace the question mark (?) in fig. (D). Select a suitable figure from the Answer Figures that would correctly replace the question mark (?).
Problem Figures: Answer Figures:
(A) (B) (C) (D) (1) (2) (3) (4) (5)
- A.
1
- B.
2
- C.
3
- D.
4
- E.
5
Show answer & explanation
Correct answer: C
Concept: In this figure-analogy series, the transformation from the first problem figure to the second follows two rules applied together: the outer boundary always gains exactly one more side than the previous outer boundary, and the entire earlier figure is rotated through a fixed angle and placed as the new inner figure inside that larger-sided boundary.
The dot on figure A's four-sided diamond sits at the top vertex; in figure B this same dot lands on the adjacent (bottom-left) corner of the new boundary, confirming a rotation of 135° anticlockwise (90° + 135° = 225°, the bottom-left corner of an axis-aligned square).
Figure B's new outer boundary has one more side than figure A's four sides, giving a five-sided outline, with the rotated diamond nested inside it in the form of a square.
Applying the same two rules to figure C, a three-sided triangle with no dot for reference: rotating the triangle through 135° anticlockwise turns its rightward-pointing vertex to point toward the upper-left.
Figure D's new outer boundary must therefore have one more side than figure C's three sides, giving a four-sided figure, with the rotated triangle nested inside it.
Cross-check: among the given answer figures, only one shows both parts of the pattern together — a four-sided outer boundary (one more side than figure C) enclosing a triangle rotated to point toward the upper-left (the same 135° anticlockwise turn used from figure A to figure B); every other figure either keeps the wrong number of sides on the outer boundary, uses the wrong shape inside, or rotates the inner triangle to a different angle.
Hence, the figure with a four-sided outer boundary and a triangle rotated 135° anticlockwise correctly replaces the question mark in figure D.