Question

Three different positions X, Y and Z of a dice are shown in the figures given below. Which numbers are hidden behind the numbers $6$ and $5$ in the position Z?

• A. $1$ and $4$
• B. $1$ and $3$
• C. $4$ and $3$
• D. $1$ and $2$

Answer 1

The correct option is B $1$ and $3$

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 opposite $6$ is $1$ and the number opposite $5$ is $3$. Therefore, the numbers hidden behind the numbers $6$ and $5$ in position Z (these are the numbers opposite $5$ and $6$ respectively) are $1$ and $3$.