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If n is a positive integer greater than 1, then p(n) represe [#permalink]

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22 Dec 2012, 07:24

6

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E

Difficulty:

95% (hard)

Question Stats:

40% (02:14) correct
60% (01:01) wrong based on 155 sessions

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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

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]

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21 Aug 2013, 09:45

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.

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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