Cubes and Dice

A dice is numbered from 1 to 6 in different ways. If 2 is opposite to 3 and adjacent to 4 and 6, then which of the following statements is necessarily true?

A 1 is opposite to 5

B 4 is opposite to 6

C 4 is adjacent to 2 and 6

D 1 is adjacent to 2 and 3

ANS:A - 1 is opposite to 5

Explanation: If 2 is opposite to 3, then 1 cannot lie opposite to either of the two numbers - 2 or 3. Hence, 1 is necessarily adjacent to both 2 and 3.

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