• Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh

p(12)+11

This topic has 3 expert replies and 2 member replies
j_shreyans Legendary Member Default Avatar
Joined
07 Aug 2014
Posted:
510 messages
Followed by:
5 members
Upvotes:
3

p(12)+11

Post Sat Sep 13, 2014 8:43 am
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

OAE

  • +1 Upvote Post
  • Quote
  • Flag
nikhilgmat31 Legendary Member Default Avatar
Joined
12 May 2015
Posted:
518 messages
Upvotes:
10
Test Date:
3 Oct
Target GMAT Score:
750
Post Wed Jul 01, 2015 9:32 pm
What a great question

I have heard the term "second smallest" in any GMAT question for the first time

first smallest -11
second smallest -211 is the answer.

  • +1 Upvote Post
  • Quote
  • Flag
GMATinsight Legendary Member
Joined
10 May 2014
Posted:
1058 messages
Followed by:
23 members
Upvotes:
205
Post Sun Sep 14, 2014 9:49 pm
j_shreyans 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

OAE
P(12) = 2 x 3 x 5 x 7 x 11

Therefore, P(12)+11 = 2 x 3 x 5 x 7 x 11 + 11 = 11(2x3x5x7+1) = 11(211)

Only two primes therefore
first smallest- 11
Second smallest- 211

Answer: 211

_________________
Bhoopendra Singh & Sushma Jha - Founder "GMATinsight"
Testimonials e-mail: info@GMATinsight.com I Mobile: +91-9999687183 / +91-9891333772
To register for One-on-One FREE ONLINE DEMO Class Call/e-mail
One-On-One Private tutoring fee - US$40 per hour & for FULL COURSE (38 LIVE Sessions)-US$1000

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post Sat Sep 13, 2014 10:12 am
j_shreyans 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

OAE
By the definition, p(12) = (11)(7)(5)(3)(2)

So, p(12) + 11 = (11)(7)(5)(3)(2) + 11
= 11[(7)(5)(3)(2) + 1] I factored out the 11
= 11[210 + 1]
= 11(211)

NOTE: 11 is prime and 211 is prime

The second smallest prime factor of p(12)+11 is
p(12)+11 has only 2 prime factors: 11 and 211
So, the second smallest is 211 (the smallest is 11)

Answer: E

Cheers,
Brent

_________________
Brent Hanneson – Creator of GMATPrepNow.com
Use our video course along with Beat The GMAT's free 60-Day Study Guide

Check out the online reviews of our course
Come see all of our free resources



Last edited by Brent@GMATPrepNow on Thu Apr 19, 2018 3:00 pm; edited 2 times in total

  • +1 Upvote Post
  • Quote
  • Flag
GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

GMAT/MBA Expert

Post Sat Sep 13, 2014 10:45 am
Brent@GMATPrepNow wrote:
The second smallest prime factor of p(12)+11 is
p(12)+11 has only 2 prime factors: 11 and 211
So, the second smallest is 11

Cheers,
Brent
Brent,

I think that you're misinterpreting the meaning of second smallest.
Of the two prime factors of p(12)+11, 11 is the smallest, so 211 is the second smallest.

_________________
Mitch Hunt
GMAT Private Tutor
GMATGuruNY@gmail.com

If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon.

Available for tutoring in NYC and long-distance.
For more information, please email me at GMATGuruNY@gmail.com.
Student Review #1
Student Review #2
Student Review #3

  • +1 Upvote Post
  • Quote
  • Flag
Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.

GMAT/MBA Expert

Post Sat Sep 13, 2014 10:52 am
GMATGuruNY wrote:
Brent@GMATPrepNow wrote:
The second smallest prime factor of p(12)+11 is
p(12)+11 has only 2 prime factors: 11 and 211
So, the second smallest is 11

Cheers,
Brent
Brent,

I think that you're misinterpreting the meaning of second smallest.
Of the two prime factors of p(12)+11, 11 is the smallest, so 211 is the second smallest.
Good catch, Mitch.
I read it as second largest the whole time.

I have edited my response.

Cheers,
Brent

_________________
Brent Hanneson – Creator of GMATPrepNow.com
Use our video course along with Beat The GMAT's free 60-Day Study Guide

Check out the online reviews of our course
Come see all of our free resources

  • +1 Upvote Post
  • Quote
  • Flag
GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

Top First Responders*

1 GMATGuruNY 93 first replies
2 Brent@GMATPrepNow 39 first replies
3 Jay@ManhattanReview 34 first replies
4 Rich.C@EMPOWERgma... 28 first replies
5 Scott@TargetTestPrep 11 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description GMATGuruNY

The Princeton Review Teacher

138 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

134 posts
3 image description Scott@TargetTestPrep

Target Test Prep

115 posts
4 image description Jeff@TargetTestPrep

Target Test Prep

104 posts
5 image description Max@Math Revolution

Math Revolution

92 posts
See More Top Beat The GMAT Experts