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# If a and b are integers, what is the value of b ?

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Moderator
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 893

Kudos [?]: 1352 [1], given: 260

Location: India
GMAT 1: 680 Q47 V34
If a and b are integers, what is the value of b ? [#permalink]

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24 Jul 2014, 05:36
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90% (00:38) correct 10% (00:50) wrong based on 49 sessions

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If a and b are integers, what is the value of b ?

(1) ab = 32

(2) a^4 = b
[Reveal] Spoiler: OA

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Kudos [?]: 1352 [1], given: 260

Math Expert
Joined: 02 Sep 2009
Posts: 41601

Kudos [?]: 124029 [0], given: 12070

Re: If a and b are integers, what is the value of b ? [#permalink]

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24 Jul 2014, 05:40
If a and b are integers, what is the value of b ?

(1) ab = 32. This one is clearly insufficient: consider a=1 and b=32 or vise-versa.

(2) a^4 = b. Also clearly insufficient.

(1)+(2) Substitute the value of b from (2) into (1) a*a^4 = 32 --> a^5 = 32 --> a = 2 --> b = 32/a = 16. Sufficient.

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Kudos [?]: 124029 [0], given: 12070

Re: If a and b are integers, what is the value of b ?   [#permalink] 24 Jul 2014, 05:40
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