Given below are 5 designs/figures numbered I to V. Two of them are identical.…

2016

Given below are 5 designs/figures numbered I to V. Two of them are identical. Which two are identical?

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  1. A.

    II and V

  2. B.

    II and IV

  3. C.

    I and IV

  4. D.

    III and V

Attempted by 33 students.

Show answer & explanation

Correct answer: C

Concept: Two figures in a “spot the identical pair” item match only when EVERY visual attribute lines up — (a) which symbol occupies each of the four quadrants, and (b) the direction each of the four arm-tips (top, right, bottom, left) of the central cross bends. A single mismatched attribute is enough to rule a pair out.

Application: check the quadrant symbols first, then the arm-tip directions.

  1. Compare the quadrant symbols first. Figures I, II, III, and IV all place X top-left, the dot top-right, the star bottom-left, and O bottom-right. Figure V swaps the top-right and bottom-left symbols (star top-right, dot bottom-left), so V cannot match any other figure and is eliminated immediately.

  2. Among I, II, III, and IV, whose symbols already agree, compare the direction each arm-tip — top, right, bottom, and left — bends (named here by which symbol it points toward):

Figure

Top arm-tip

Right arm-tip

Bottom arm-tip

Left arm-tip

I

toward X

toward O

toward O

toward the star

II

toward X

toward the dot

toward O

toward the star

III

toward the dot

toward the dot

toward the star

toward X

IV

toward X

toward O

toward O

toward the star

Figure IV reproduces every one of figure I's arm-tip directions. Figure II differs only on the right arm-tip (toward the dot instead of toward O). Figure III differs on the top, right, and left arm-tips.

Cross-check: Re-scanning figure I against figure IV, quadrant by quadrant and arm-tip by arm-tip, every element coincides exactly, while II, III, and V each fail on at least one attribute — confirming there is exactly one matching pair.

Result: Figures I and IV are identical.

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