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If n is a positive integer greater than 1, then p(n) represe [#permalink]
22 Dec 2012, 06:24
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Difficulty:
95% (hard)
Question Stats:
38% (02:07) correct
62% (01:00) wrong based on 129 sessions
If n is a positive integer greater than 1, then p(n) represents the product of all the prime numbers less than or equal to n. The second smallest prime factor of p(12)+11 is
Re: If n is a positive integer greater than 1, then p(n) represe [#permalink]
23 Dec 2012, 05:38
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nades09 wrote:
If n is a positive integer greater than 1, then p(n) represents the product of all the prime numbers less than or equal to n. The second smallest prime factor of p(12)+11 is
Solving P(12)+11 = (2 x 3 x 5 x 7 x 11) +11 = 11 (2 x 3 x 5 x 7 +1) =11(211)
Since 211 is prime, shouldn’t 11 be the 2nd smallest prime factor of the product?
\(p(12)+11=2*3*5*7*11+11=11(2*3*5*7+1)=11*211\). Both 11 and 211 are primes: 11 is the smallest prime of p(12)+11 and 211 is the second smallest prime of p(12)+11.
One of the questions in MGMAT test-confused with the answer [#permalink]
21 Aug 2013, 08:45
Hi
I just took a test in free GMAT test section (MGMAT test)
There is one question which says
If n is a positive integer greater than 1, then p(n) represents the product of all the prime numbers less than or equal to n. The second smallest prime factor of p(12)+11 is A. 2 B. 11 C. 13 D. 17 E. 211
The OA is E. But i am not convinced by the explanation.
Re: One of the questions in MGMAT test-confused with the answer [#permalink]
21 Aug 2013, 08:49
1
This post received KUDOS
Expert's post
willisback wrote:
Hi
I just took a test in free GMAT test section (MGMAT test)
There is one question which says
If n is a positive integer greater than 1, then p(n) represents the product of all the prime numbers less than or equal to n. The second smallest prime factor of p(12)+11 is A. 2 B. 11 C. 13 D. 17 E. 211
The OA is E. But i am not convinced by the explanation.
Please help!!
Merging similar topics. Please refer to the solutions above.
P.S. Please hide OA under the spoiler. Thank you. _________________
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