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When 5^11 and 2^n7^2 have the same number of factors,

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Math Revolution GMAT Instructor
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When 5^11 and 2^n7^2 have the same number of factors, [#permalink]

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New post 10 Apr 2017, 01:01
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A
B
C
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Difficulty:

  25% (medium)

Question Stats:

73% (00:37) correct 27% (01:37) wrong based on 62 sessions

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When \(5^{11}\) and \(2^n7^2\) have the same number of factors, what is the value of n?

A. 2
B. 3
C. 4
D. 5
E. 6

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Re: When 5^11 and 2^n7^2 have the same number of factors, [#permalink]

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New post 10 Apr 2017, 01:44
5^11 has (11+1) factors, ans should be (12/(2+1)-1 which is 3 or B

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Re: When 5^11 and 2^n7^2 have the same number of factors, [#permalink]

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New post 10 Apr 2017, 09:06
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3
MathRevolution wrote:
When \(5^{11}\) and \(2^n7^2\) have the same number of factors, what is the value of n?

A. 2
B. 3
C. 4
D. 5
E. 6


\(5^{11}\) has \(( 11 + 1 ) = 12\) factors.

Now, \(12 = ( n + 1 ) ( 2 + 1 )\)

Or, \(n + 1 = 4\)

So, \(n = 3\)

Thus, the value of n = 3 , answer must be (B) 3
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Expert Post
Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
Posts: 5600
GMAT 1: 800 Q59 V59
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Re: When 5^11 and 2^n7^2 have the same number of factors, [#permalink]

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New post 12 Apr 2017, 01:14
==> From 11+1=(n+1)(2+1), you get 12=3(n+1), and n-3.

Therefore, the answer is B.
Answer: B
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Re: When 5^11 and 2^n7^2 have the same number of factors, [#permalink]

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New post 15 Apr 2017, 22:23
N=3
Easy, but a good question. Given the answer choices, It is very easy to commit a silly mistake
Re: When 5^11 and 2^n7^2 have the same number of factors,   [#permalink] 15 Apr 2017, 22:23
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When 5^11 and 2^n7^2 have the same number of factors,

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