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

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Concentration: Finance, General Management
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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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E

Difficulty:

  65% (hard)

Question Stats:

54% (02:08) correct 46% (01:58) wrong based on 37 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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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