Cubes and Dice

A dice is numbered from 1 to 6 in different ways. If 1 is adjacent to 2, 3 and 5, then which of the following statements is necessarily true?

A 4 is adjacent to 6

B 2 is adjacent to 5

C 1 is adjacent to 6

D 1 is adjacent to 4

ANS:A - 4 is adjacent to 6

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

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