Discussion of Question with ID = 025 under Cubes-and-Dice

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Question

Six different dice with their top faces erased have been given. The opposite faces of each dice have numbers which add to 13. All dice have the numbers from amongst 4, 5, 6, 7, 8 and 9 printed on them.

If dice, B, E and F have even numbers at their bottom faces, what would be the sum of those even number ?

A
18
B
16
C
20
D
24
Soln.
Ans: a
  1. Dice No. B: Face opposite 8 is 5 because 8 + 5 = 13. Similarly, face opposite 9 is 4. So, the numbers that appear on the sides are 4, 5, 8 and 9. Out of the remaining 6 and 7, the bottom face is 6.
  2. Dice E: Similarly, 4 is at the bottom.
  3. Dice F: 8 is at the bottom.

So sum is 6 + 4+ 8 = 18.


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