Reasoning : Logical Reasoning & Analytical Ability

Q 231 / 325

UPSC CSE Prelims 2015

Four persons A, B, C and D consisting of two married couples are in a group. Both the women are shorter than their respective husband. A is the tallest among the four. C is taller than B. D is B’s brother. In this context which one of the following statements is not correct?

EXPLANATION

Correct Option (3)

C is taller than D.

Explanation

Given the facts-there are two married couples; both women are shorter than their respective husbands; A is the tallest; C is taller than B; and D is B’s brother-the following deductions follow logically:

  • A must be male and one of the husbands because A is the tallest and each wife is shorter than her husband.
  • D, being B’s brother, is male.
  • Therefore the two males are A and D; the two females are B and C.
  • Since D is B’s brother, D cannot be married to B; hence D must be married to C and A to B.
  • The rule “women are shorter than their respective husbands” applied to the couple (D, C) gives C < D (C is shorter than D).

The statement “C is taller than D” contradicts the above deduction and is therefore not correct.

Incorrect Options

All four have family ties.

  • Correct. From the established relationships-A married to B, D married to C, and D brother of B-all four are connected through familial relations.

B is the shortest among the four.

  • Correct. From the height relations (women shorter than their husbands) and the given C is taller than B, a consistent order is B < C < D < A, which makes B the shortest.

A is B’s husband.

  • Correct. Since D is B’s brother and there are only two husbands (A and D), A must be B’s husband.