If x + 7 is an even integer, what is the sum of the next two even integers?

Answer Choices

Correct answer marked below

x + 2

x + 11

2x + 2

2x + 11

2x + 20

Correct

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Explanation

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Official Explanation

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Since x + 7 is an even integer, the next two even integers can be expressed as x + 7 + 2 and x + 7 + 2 + 2, which are x + 9…

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Comments

ManuMar 22, 2024

Can you explain more?

PrasidhamJan 23, 2024

Thank for sharing!!!

MalachyMay 12

thanks, easy one but good warmup

ConqMay 13

Wait, if x+7 is even then x is odd right? So the next two even integers are x+8 and x+10... sum is 2x+18? Huh that's not an option. What am I missing?

AdityaMay 19

careful, x itself is odd so x+8 and x+10 wouldn't be even. if x+7 is even, the next even integer after it is x+9, then x+11

What this question tests

What it tests

Your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.

Common trap

Forgetting that 1 is not prime, that 0 is divisible by every integer, or that negative numbers flip your assumptions.