Cubes and Dice

Q1: A dice is numbered from 1 to 6 in different ways. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?

A 2 is opposite to 6

B 1 is adjacent to 3

C 3 is adjacent to 5

D 3 is opposite to 5

ANS:A - 2 is opposite to 6

Explanation: If 1 is adjacent to 2, 4 and 6 then either 3 or 5 lies opposite to 1. So, the numbers 3 and 5 cannot lie opposite to each other. Hence, 3 is adjacent to 5 (necessarily).

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