Cubes and Dice

Q1: Two positions of a parallelepiped are shown below. When the number 3 will be on the top side, then which number will be at the bottom?

A 1

B 4

C 5

D 6

ANS:A - 1

Explanation: The number 2 is common to both the figures. We assume the parallelepiped in fig. (ii) to be rotated so that 2 appears at the same position as in fig. (i) i.e. on the RHS face and the numbers 6 and 3 move to the faces hidden behind the numbers 1 and 5 respectively [in fig. (i)]. Then, the combined figure will have 1 opposite 6 and 5 opposite 3. Thus, when 3 will be on the top, then 5 will appear at the bottom.



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