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## If a, b are integers and |a-b|=8

This topic has 2 expert replies and 0 member replies

### Top Member

Vincen Master | Next Rank: 500 Posts
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#### If a, b are integers and |a-b|=8

Mon Sep 25, 2017 6:28 pm
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
If a, b are integers and |a-b|=8, which of the following is the smallest possible value of ab?

A) -16
B) 0
C) 16
D) 7
E) 40

The OA is B.

If we set a=4 and b=-4, then |a-b|=|4+4|=8. And ab=-16. Why is B the correct option?

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### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
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Mon Sep 25, 2017 9:16 pm
Vincen wrote:
If a, b are integers and |a-b|=8, which of the following is the smallest possible value of ab?

A) -16
B) 0
C) 16
D) 7
E) 40

The OA is B.

If we set a=4 and b=-4, then |a-b|=|4+4|=8. And ab=-16. Why is B the correct option?
Hi Vincen,

Your answer is correct.

ab is minimum if a = 4 and b = -4 OR a = -4 and b = 4. Option B (0) is correct if it were given that a and b are non-negative integers.

The correct answer: A

Hope this helps!

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Matt@VeritasPrep GMAT Instructor
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Tue Sep 26, 2017 5:14 pm
You're correct, -16 is the minimum. (Proving that is a bit more complicated, but with these answer choices we don't really need the proof.)

Either the OA is a typo or the stem itself is missing some qualifier.

Thanked by: Vincen
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