When all the boxes in a warehouse were arranged in stacks of 8, there

Number of boxes = n

When all the boxes in a warehouse were arranged in stacks of 8, there were 4 boxes left over.

Therefore we can represent n as

n = 8x + 4; x is the quotient and is a non negative integer

Given

\(80 < n < 120\)

Statement 1

(1) If all the boxes in the warehouse had been arranged in stacks of 9, there would have been no boxes left over.

n = 9y

The number of boxes is a multiple of 9. As we know the range, the possible values of the number of boxes are

\(81 \quad 90 \quad 99 \quad 108 \quad 117\)

Out of the above values, only 108 can be represented in the form of '8x + 4', in which x is an integer.

Hence, the statement is sufficient to answer the question. We can eliminate B, C, and E.

Statement 2

(2) If all the boxes in the warehouse had been arranged in stacks of 12, there would have been no boxes left over

n = 12y

The number of boxes is a multiple of 12. As we know the range, the possible values of the number of boxes are

\(84 \quad 96 \quad 108\)

Out of the above values, values 84 and 108 can be represented in the form of '8x + 4', in which x is an integer.

As we are getting two different values for the value of n, the statement alone is not sufficient to answer the question. Eliminate D.

Option A