103
Q:

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

Answer:   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.

Subject: Cubes and Dice