Question

Two positions of a dice are shown below. Identify the number at the bottom when the top is ${}^{\prime }{3}^{\prime }$?

• A. $2$
• B. $4$
• C. $5$
• D. $6$

Answer 1

Answer: (C)

$5$

The number $6$ is common to both the positions of the dice. We assume the dice in fig. (ii) to be rotated so that $6$ remains on the FR-LH face (i. e. on face IV as per activity $1$) and the numbers $1$ and $3$ move to the faces hidden behind $4$ and $5$ respectively [in fig. (i)]. Then, $5$ lies on FR-RH face (i.e. face I), $4$ lies on Top face {i.e. face V), $3$ lies on RR-LH face (i.e. face III) and $1$ lies on Bottom face (i.e. face VI). Thus, $3$ lies opposite $5$. Hence, when the top is $3$, then the number at the bottom is $5$.