Question

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 $3$

Answer 1

Answer: (D)

$1$ is adjacent to $2$ and $3$

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 $3$.