Question

A special dice has a number on each face , the sums of the numbers on opposite faces are all equal . Five of the number are 5, 6, 9 , 11 and 14 ? What number in on sixth dice ? A - 4. B - 7. C - 8 D -13 E - 15

Answer 1

Answer:

E -15

Step-by-step explanation:

The sum of the numbers on opposite sides are equal.

There are 6 faces and it means 3 pairs making equal sums.

Let any pair sum up to n, then total is 3n

Since total is multiple of 3, the sum of 6 numbers must be divisible by 3.

We have sum of 5 numbers:

• 5+6+9+11+14= 45 which is divisible by 3

Then the last number must be divisible by 3 to have the total divisible by 3.

Only E - 15 suits as the other options are not divisible by 3.

Answer: E -15

Answer 2

Answer:

E-15

This is what I think the answer is. Hope this helps.