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If n is a positive integer greater than 1, then p(n) represe

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

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New post 22 Dec 2012, 07:24
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Question Stats:

40% (02:12) correct 60% (01:00) wrong based on 152 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

A. 2
B. 11
C. 13
D. 17
E. 211

[Reveal] Spoiler:
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?
[Reveal] Spoiler: OA

Last edited by Bunuel on 23 Dec 2012, 06:32, edited 1 time in total.
Renamed the topic and edited the question.
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Re: smallest prime factor of p(12)+11 [#permalink]

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New post 22 Dec 2012, 10:51
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nades09 wrote:
Since 211 is prime, shouldn’t 11 be the 2nd smallest prime factor of the product?


11 is the first smallest prime factor. 211 is the second smallest prime factor
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Re: smallest prime factor of p(12)+11 [#permalink]

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New post 23 Dec 2012, 03:59
p(12)=11*211,shouldnt 11 be the smallest prime
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Re: If n is a positive integer greater than 1, then p(n) represe [#permalink]

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New post 23 Dec 2012, 06:38
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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

A. 2
B. 11
C. 13
D. 17
E. 211

[Reveal] Spoiler:
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.

Answer: E.
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One of the questions in MGMAT test-confused with the answer [#permalink]

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New post 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.

Please help!!
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Re: One of the questions in MGMAT test-confused with the answer [#permalink]

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New post 21 Aug 2013, 09:49
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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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: One of the questions in MGMAT test-confused with the answer   [#permalink] 21 Aug 2013, 09:49
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If n is a positive integer greater than 1, then p(n) represe

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