Question

Two positions of a block are shown below. When $2$ is at the bottom, which number will be at the top?

• A. $1$
• B. $4$
• C. $6$
• D. Cannot be determined

Answer 1

The correct option is C $6$

Number $3$ is common to the two positions of the block. We assume the block in fig. (ii) to be rotated so that $3$ appears at the same position as in fig. (i) i.e. on RHS face (i.e. on face II as per activity $1)$ and the numbers $5$ and $2$ move to the faces hidden behind the numbers $4$ and $6$ respectively [in fig. (i)]. Thus, the combined figure will have $3$ on RHS face (i.e. face II), $4$ on the Front face (i.e. face I), $6$ on the Top face (i.e. face V), $5$ on the Rear face (i.e. face III) and $2$ on the Bottom face (i.e. face VI). Clearly, when $2$ is at the bottom; then $6$ is at the top.