If a and b are integers, is a + b + 3 an odd integer

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Last Updated on May 11, 2023

GMAT OFFICIAL GUIDE DS

Solution:

We need to determine whether a + b + 3 is odd, or in other words, whether a + b is even.

Statement One Alone:

ab is an odd integer.

Because ab is odd, we know that a and b must both be odd, and since odd + odd = even, a + b is even. Statement one alone is sufficient to answer the question.

Statement Two Alone:

a – b is an even integer.

Since a – b is even, a + b is also even. Statement two alone is sufficient.

Answer: D

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