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### Question

The sum of three consecutive even integer numbers is -2274. The middle among the three is?

**A**

-758.

**B**

-757.

**C**

-755.

**D**

-756.

**Soln.**

**Ans: a**

Let the numbers be 2n - 2, 2n and 2n + 2. The sum is 6n = 3 x 2n = 3 x middle. We are given 3 x middle = -2274, ⇒ middle = $-2274/3$, i.e., middle = -758.