Question

Two positions of a dice are shown below. When there are two dots at the bottom, the number of dots at the top will be

• A. $3$
• B. $5$
• C. $6$
• D. Cannot be determined

Answer 1

The correct option is A $3$

Number $1$ is common to both the positions of the dice. We assume the dice in fig. (ii) to be rotated so that $1$ dot moves to the top face (i.e. face V as per activity $1$) i.e. to the same position as in fig. (i) and $2$ and $4$ dots move to the faces hidden behind the faces with $3$ and $5$ dots respectively. Thus, the combined figure will have $1$ dot on the Top (i.e. on face V), $5$ dots on Front face (i.e. on face I), $3$ dots on RHS face (i.e. face II), $4$ dots on the Rear face (i.e. face III) and $2$ dots on the LHS face (i.e. face IV). Clearly, $3$ dots lie on the face opposite the face having $2$ dots. Therefore, when there are $2$ dots at the bottom, the number of dots at the top will be $3$.