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If a and b are integers, is b > a?

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Tuck School Moderator
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Status: Valar Dohaeris
Joined: 31 Aug 2016
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GMAT 1: 700 Q49 V37
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If a and b are integers, is b > a?  [#permalink]

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New post 21 Aug 2018, 19:22
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

67% (02:15) correct 33% (01:51) wrong based on 49 sessions

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If \(a\) and \(b\) are integers, is \(b > a\)?

(1) \(\frac{−30}{b}\) \(= a\)

(2) \((a – b)(a + b) = –11\)

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Re: If a and b are integers, is b > a?  [#permalink]

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New post 21 Aug 2018, 20:20
If \(a\) and \(b\) are integers, is \(b > a\)?

Looking at the two statements, you should notice that both a and b can be positive or negative and statements do not tell us about sign, so E should be the answer.

(1) \(\frac{−30}{b}\) \(= a\)
If b is -3, a=10.....b<a
If b is 3, a =-10...b>a
Insufficient

(2) \((a – b)(a + b) = –11\)
So \(a^2-b^2=-11\)
So |b|>|a| .. but signs can be anything
If b =-6, a=5,.....b<a
If b =6, a=-5......b>a
Insufficient

Combined
If b =-6, a=5,.....b<a
If b =6, a=-5......b>a
Insufficient

E
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Re: If a and b are integers, is b > a?   [#permalink] 21 Aug 2018, 20:20
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If a and b are integers, is b > a?

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