The following question consists of two sets of figures. Figures A, B, C and D…

2024

The following question 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).

Problem Figures:

(A) (B) (C) (D) (1) (2) (3) (4) (5)

  1. A.

    1

  2. B.

    2

  3. C.

    3

  4. D.

    4

  5. E.

    5

Show answer & explanation

Correct answer: C

Concept: In a figure analogy of the form A : B :: C : D, every component of the figure follows its own fixed transformation as you move from the first figure to the second. First read the rule for each component from the A to B pair, then apply exactly the same rules to figure C to build figure D.

Transformation from figure A to figure B:

  1. The trapezium is turned upside down (a vertical flip): a shape resting on its wide base becomes a shape with its wide mouth at the top.

  2. The pin (a dot with a short tail) rotates 90 degrees clockwise.

  3. The crossed arrow-and-dot symbol rotates 135 degrees anticlockwise.

Applying the same three rules to figure C:

  1. Figure C's trapezium opens upward, so the flip makes it rest on its wide base.

  2. Figure C's pin has its dot on top; a 90 degree clockwise turn makes the dot point to the right.

  3. Figure C's crossed symbol has its arrow to the left and its marker dot to the upper-right; a 135 degree anticlockwise turn swings the arrow to the lower-right and moves the marker dot to the left.

So figure D must show a wide-based trapezium, a right-pointing pin, and a crossed symbol whose arrow points to the lower-right with the marker dot on the left. The answer figure that has all three is figure 3.

Cross-check: the same rules also rebuild figure B from figure A. Among the five answer figures only figure 3 satisfies all three rules together; figure 5 matches the trapezium and the pin but leaves the marker dot short of the full anticlockwise turn.

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