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Q:

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

Answer:   C) 3 is adjacent to 5



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).

Subject: Cubes and Dice