UPSC Prelims 2007 · General Studies

Question 141: Logical Reasoning and Mental Ability

Six faces of a cube are numbered from 1 to 6, each face carrying one different number. Further,

1.The face 2 is opposite to the face 6.
2.The face 1 is opposite to the face 5.
3.The face 3 is between the face 1 and face 5.
4.The face 4 is adjacent to the face 2.

Which one of the following is correct?

aThe face 2 is adjacent to the face 3

bThe face 6 is between the face 2 and the face 4

cThe face 1 is between the face 5 and the face 6

dNone of the above

AnswerThe answer is (a).

A cube has three pairs of opposite faces. The given facts make 2 opposite 6 and 1 opposite 5, so the last pair is 3 opposite 4. Face 2 is therefore opposite only 6, which makes it adjacent to 1, 5, 3 and 4. So 'face 2 is adjacent to face 3' is true. Face 6 is opposite 2, so it cannot lie between 2 and 4, and face 1 is opposite 5, so it cannot lie between 5 and 6.

Why each option is right or wrong

(a) Correct: 2 is opposite 6 only, so it touches 3.
(b) 6 is opposite 2, so it cannot be between 2 and 4.
(c) 1 is opposite 5, so it cannot be between 5 and 6.
(d) Option (a) is true, so 'none' fails.

Explanation: written by UPSC Grade, not by UPSC.

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Source: UPSC, Civil Services (Preliminary) Examination 2007, General Studies. UPSC's own paper isn't online; the words are from a published compilation. The paper on upsc.gov.in.