Question

Six dice with their top faces erased have been given. The opposite faces of the dice have dots which add up to thirteen. Work out the number of dots on the top faces and answer the given question.

If the dices I, III and IV have even number of dots at their bottom faces, what would be the total number of dots?

• A. 20
• B. 22
• C. 24
• D. 18

Answer 1

The correct option is B 22

The numbers on dice are 4 5 6 7 8 9
sum of opposite face 13
The opposite faces can be 4 9 , 5 8 , 6 7
We have to find even numbers of possible dots
Dice 1- we have 4 and 6 then numbers on dice can be 5 or 8, the even number is 8

Dice 3- we have 4 , 7 then numbers on dice can be 5 or 8, the even number is 8
Dice 4 - we have 4 ,5 then numbers can be 6 or 7, the even number is 6
The sum of numbers on dice is $8+8+6=22$.

Hence, 22 is the correct answer.