Data Sufficiency

varun289 wrote:If i and d are integers, what is the value of i?

(1) The remainder when i is divided by (d+2) is the same as when i is divided by d
(2) The quotient when i is divided by (d+2) is d

Consider the following two examples,

• d = 2, (d + 2) = 4 --> i = 9
  d = 3, (d + 2) = 5 --> i = 16

Both the above examples satisfies both the statements but value of i is different in both cases.

The correct answer is E.

Algebraic Approach:

Statement 1: i = md + r and i = n(d + 2) + r, where m and n are some non-negative integers.
This means i = [Multiple of d and (d + 2)] + r
Evidently we can have different combination of values for i, d, and r.

Not sufficient

Statement 2: i = d*(d + 2) + r
This is nothing but a modified version of statement 1 and we still can have different combination of values for i, d, and r.

Not sufficient

1 & 2 Together: No new information.

Not sufficient

The correct answer is E.