Question

Three different positions X, Y and Z of a dice are shown in the figures given below. Which of the hidden numbers adjacent to $5$ in position X is/are common to the hidden numbers adjacent to $5$ in position Z?

• A. $1$ and $4$
• B. $2$
• C. $6$
• D. None

Answer 1

The correct option is D None

From positions X and Y we conclude that $1,5,6$ and $3$ lie adjacent to $4$. Therefore, $2$ must lie opposite $4$. From positions Y and Z we conclude that $4,3,2$ and $5$ lie adjacent to $6$. Therefore, $1$ must lie opposite $6$. Thus, $2$ lies opposite $4,1$ lies opposite $6$ and consequently $5$ lies opposite $3$.
Since $3$ lies opposite $5$ (as analysed above), it follows that $1,4,6$ and $2$ lie adjacent to $5$. Out of these four numbers, the hidden numbers adjacent to $5$ in position X are $6$ and $2$ and the hidden numbers adjacent to $5$ in position Z are $1$ and $4$. Clearly, there is no number common.