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Is a^44 < b^11 , given that a =2 and b is an integer ? I.

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Is a^44 < b^11 , given that a =2 and b is an integer ? I. [#permalink] New post 27 Oct 2010, 10:50
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Is a^44 < b^11 , given that a =2 and b is an integer ?

I. b is even
II. b is greater than 16
[Reveal] Spoiler: OA

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Re: DS Question [#permalink] New post 27 Oct 2010, 13:16
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zerotoinfinite2006 wrote:
Is a^44 < b^11 , given that a =2 and b is an integer ?

I. b is even
II. b is greater than 16


2^{44} \lt b^{11}
16^{11} \lt b^{11}

For integral b, this is true if and only if b>16

(1) Insufficient -- doesnt answer our question
(2) Sufficient, tells us b>16

Answer : (b)
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Re: DS Question [#permalink] New post 27 Oct 2010, 13:23
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B.
If b is even it cab be 2,4,6...... 2^44>4^11 - leaves us with B,C,E
B>16 thus B=17,18,19..... 17^11>(2^44=16^11).
Re: DS Question   [#permalink] 27 Oct 2010, 13:23
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