Question

Three different positions X, Y and Z of a dice are shown in the figures given below. Which number lies at the bottom face in position X?

• A. $2$
• B. $3$
• C. $6$
• D. Cannot be determined

Answer 1

The correct option is B $3$

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 $3$.
As analysed above, the number on the face opposite $5$ is $3$. In position X, since $5$ lies on the top, therefore $3$ must lie at the bottom face.