Data sufficiency

[sana.noor]

Three dice, each ith faces numbered from 1 through 6, were tossed onto a game board. If one of the dice turned up 4, what was the sum of the numbers that turned up on all three dice?
1) the sum of two of the numbers that turned up was 10
2) the sum of he two of the numbers that turned up was 11

B

[Anju@Gurome]

Three dice, each of its faces numbered from 1 through 6, were tossed onto a game board. If one of the dice turned up 4, what was the sum of the numbers that turned up on all three dice?
1) the sum of two of the numbers that turned up was 10
2) the sum of he two of the numbers that turned up was 11

As one of the dice turned up 4, we need to determine the sum of the numbers that turned up on the other two dices.

Statement 1: The following combinations are possible,

• {4, 6, 1} --> Sum = 11
  {4, 6, 2} --> Sum = 12

Not sufficient

Statement 2: As the faces are numbered from 1 to 6, only way the numbers on two faces can add to 11 is (5 + 6) = 11
Hence, the sum must be equal to (4 + 5 + 6) = 15

Sufficient

The correct answer is B.