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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
Joined: 16 Aug 2015
Posts: 6815
GMAT 1: 760 Q51 V42
GPA: 3.82
When 5^11 and 2^n7^2 have the same number of factors,  [#permalink]

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10 Apr 2017, 00:01
00:00

Difficulty:

25% (medium)

Question Stats:

68% (00:53) correct 32% (01:58) wrong based on 70 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

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" ##### Most Helpful Community Reply Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4342 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: When 5^11 and 2^n7^2 have the same number of factors, [#permalink] ### Show Tags 10 Apr 2017, 08:06 2 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 _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) ##### General Discussion Current Student Joined: 09 Mar 2017 Posts: 91 Location: Netherlands Concentration: General Management, Finance GMAT 1: 690 Q45 V40 Re: When 5^11 and 2^n7^2 have the same number of factors, [#permalink] ### Show Tags 10 Apr 2017, 00:44 5^11 has (11+1) factors, ans should be (12/(2+1)-1 which is 3 or B Sent from my SM-G935F using GMAT Club Forum mobile app Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6815 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: When 5^11 and 2^n7^2 have the same number of factors, [#permalink] ### Show Tags 12 Apr 2017, 00:14 ==> From 11+1=(n+1)(2+1), you get 12=3(n+1), and n-3. Therefore, the answer is B. Answer: B _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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Re: When 5^11 and 2^n7^2 have the same number of factors,  [#permalink]

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15 Apr 2017, 21:23
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, &nbs [#permalink] 15 Apr 2017, 21:23
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