UPSC Prelims 2012 · CSAT

Question 49: Logical Reasoning and Mental Ability

Three views of a cube following a particular motion are given below :

What is the letter opposite to A ?

three views of a cube showing letters on its faces: first view A (front), K (top), B (right); second view M (front), H (top), K (right); third view P (front), B (top), H (right)

AnswerUPSC’s answer is (a).

Faces seen together on a cube are adjacent. H appears with M and K in the second view, and with B and P in the third, so H is adjacent to four faces: M, K, B and P. A cube has only one face that does not touch a given face, its opposite, and the only face not yet touching H is A. So A is opposite H. The other opposite pairs are B with M and K with P.

Why each option is right or wrong

(a) Right. H touches M, K, B and P, so the only face left to be opposite it is A.
(b) Wrong. P is seen next to B and H, and sits opposite K.
(c) Wrong. B is seen next to A in the first view, so it is adjacent, not opposite.
(d) Wrong. M is seen next to H and K, and sits opposite B.

Answer: UPSC’s key. Explanation: written by UPSC Grade, not by UPSC.

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Source: UPSC, Civil Services (Preliminary) Examination 2012, General Studies Paper II (CSAT), Series A. The paper on upsc.gov.in.