• 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
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • 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
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider

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
Thanked:
3 times

p(12)+11

Post Sat Sep 13, 2014 8:43 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    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

    Answer: E

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder 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



    Last edited by Brent@GMATPrepNow on Sat Sep 13, 2014 10:50 am; edited 1 time in total

    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!
    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 "Thank" icon.
    Available for tutoring in NYC and long-distance.
    For more information, please email me at GMATGuruNY@gmail.com.

    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.
    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 – Founder 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

    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!
    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

    _________________
    Prosper!!!
    Bhoopendra Singh & Sushma Jha
    "GMATinsight"
    Contact Us
    Testimonials
    To register for One-on-One FREE ONLINE DEMO Class Call/e-mail
    e-mail: info@GMATinsight.com
    Mobile: +91-9999687183 / +91-9891333772
    Get in touch for SKYPE-Based Interactive Private Tutoring
    One-On-One Classes fee - US$40 per hour &
    for FULL COURSE (38 LIVE Sessions)-US$1000

    "Please click on 'Thank' if you like my post/response."

    Classroom Centres Address:
    GMATinsight
    Dwarka, New Delhi-110075 and Shivalik New Delhi

    nikhilgmat31 Legendary Member Default Avatar
    Joined
    12 May 2015
    Posted:
    518 messages
    Thanked:
    10 times
    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.

    Best Conversation Starters

    1 Vincen 180 topics
    2 lheiannie07 61 topics
    3 Roland2rule 54 topics
    4 ardz24 44 topics
    5 VJesus12 14 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    155 posts
    2 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    105 posts
    3 image description GMATGuruNY

    The Princeton Review Teacher

    101 posts
    4 image description Jay@ManhattanReview

    Manhattan Review

    82 posts
    5 image description Matt@VeritasPrep

    Veritas Prep

    80 posts
    See More Top Beat The GMAT Experts