In which of the following figures is it possible that the total number of dots on opposite faces of the die be 7?

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Solution

A little different one. Let's see each option. (d) Six needs one opposite to itself to fulfill the condition in the question but as is obvious from the figure this is not the case. Six and one are beside one another. So this die cannot fulfil the given condition.
(c) Here 3 and 4 are side by side which will again not allow the given condition to be fulfilled.
(b) Same here with 5 and 2.
(a) This is the only dice where the condition may fulfilled if the face opposite 5 and 2, face opposite 1 is 6 and face opposite 3 is 4, hence this dice can fulfil the required conditions.

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Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them.

Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box.

Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.

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