Question

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

• A. $2$ is adjacent to $6$.
• B. $3$ is adjacent to $4$
• C. $4$ is opposite to $6$
• D. $3$ is opposite to $5$

Answer 1

Answer: (A)

$2$ is adjacent to $6$.

If $1$ is opposite to $2$, then $2$ cannot lie opposite to any of the numbers $3,4,5$ or $6$. Hence, $2$ necessarily lies adjacent to $6$.