Find all School-related info fast with the new School-Specific MBA Forum

It is currently 11 Jul 2014, 03:54

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 18 Feb 2010
Posts: 29
Followers: 1

Kudos [?]: 8 [0], given: 5

GMAT Tests User
If n is a positive integer greater than 1, then p(n) represe [#permalink] New post 22 Dec 2012, 06:24
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (medium)

Question Stats:

32% (01:59) correct 67% (00:58) wrong based on 61 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

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, 05:32, edited 1 time in total.
Renamed the topic and edited the question.
1 KUDOS received
BSchool Thread Master
User avatar
Status: If you think you can, then eventually you WILL!
Joined: 05 Apr 2011
Posts: 399
Location: India
Concentration: Finance, Marketing
Schools: ISB '14 (D)
GMAT 1: 570 Q49 V19
GMAT 2: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Followers: 55

Kudos [?]: 210 [1] , given: 39

GMAT Tests User Premium Member
Re: smallest prime factor of p(12)+11 [#permalink] New post 22 Dec 2012, 09:51
1
This post received
KUDOS
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
_________________

ankit
you must believe

How to start GMAT preparations?
How to Improve Quant Score?
gmatclub topic tags
Check out my GMAT debrief
Thursdays with Ron link
Looking for a Quant tutor? Check out my post for the same!

Combined Formula Sheet :
Number Properties || Word Problems and PnC || Equations, Inequalities || Geometry

How to Solve :
Statistics || Reflection of a line || Remainder Problems

Intern
Intern
avatar
Joined: 23 May 2012
Posts: 2
Followers: 0

Kudos [?]: 0 [0], given: 16

Re: smallest prime factor of p(12)+11 [#permalink] New post 23 Dec 2012, 02:59
p(12)=11*211,shouldnt 11 be the smallest prime
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18492
Followers: 3188

Kudos [?]: 21234 [2] , given: 2537

Re: If n is a positive integer greater than 1, then p(n) represe [#permalink] New post 23 Dec 2012, 05:38
2
This post received
KUDOS
Expert's post
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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 05 Feb 2008
Posts: 42
Concentration: General Management, Nonprofit
GPA: 3.81
WE: Information Technology (Health Care)
Followers: 0

Kudos [?]: 10 [0], given: 12

GMAT ToolKit User
One of the questions in MGMAT test-confused with the answer [#permalink] New post 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.

Please help!!
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18492
Followers: 3188

Kudos [?]: 21234 [0], given: 2537

Re: One of the questions in MGMAT test-confused with the answer [#permalink] New post 21 Aug 2013, 08:49
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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: One of the questions in MGMAT test-confused with the answer   [#permalink] 21 Aug 2013, 08:49
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic If n is a positive integer greater than 1, then 2^{n-1} + 2^ fozzzy 4 06 Sep 2013, 23:46
2 Experts publish their posts in the topic If n is a positive integer greater than 1 AbhiJ 2 15 Jul 2013, 07:40
14 Experts publish their posts in the topic The operation x#n for all positive integers greater than 1 Financier 10 13 Aug 2010, 09:51
are positive integers p and q both greater than n? 1. el1981 1 05 Feb 2008, 21:24
If n is a positive integer, is (n+1)! - (n-1)! greater than sparky 12 12 Jun 2005, 17:21
Display posts from previous: Sort by

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

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.