Source: Official Guide for the GMAT 13th Ed. Data Sufficiency; #14 Official Guide for the GMAT 2015 14th Ed. Data Sufficiency; #14

1

If i and j are integers, is

If i and j are integers, is i+j an even integer?

1 Explanation

1

Gravatar Mike McGarry, Magoosh Tutor

Dec 30, 2013 • Comment

Do we not consider 0 to be an integer? Or do we consider it to be an even one?

Nov 4, 2015 • Reply

Cydney Seigerman, Magoosh Tutor

Hi Siddharth :)

Good question! Zero is an even, non-negative integer. For an integer to be even, it must be an integer multiple of 2. And we can show that 0 is a multiple of 2: 2x0 = 0.

Evaluating Statement 2, if we were to define j=0, then j=i=0, and we would have: 0+0=0. As mentioned in the explanation video, the sum of two even integers is always even, which we can see in this case, since 0 is even.

Nov 11, 2015 • Reply

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Official Guide for GMAT Review 2016

Official Guide for the GMAT 2015 14th Ed.

Official Guide for the GMAT 13th Ed.

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Official Guide for the GMAT 12th Ed.

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Section 6.3 Data Sufficiency

Section 6.3 Data Sufficiency

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