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

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep

How many different 3-digit . . .

This topic has 1 expert reply and 1 member reply

How many different 3-digit . . .

Post Wed Sep 27, 2017 6:42 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    How many different 3-digit numbers are greater than 299 and do not contain the digits 1, 6, or 8?

    (A) 222
    (B) 245
    (C) 291
    (D) 315
    (E) 343

    The OA is B.

    I tried to make a list but it has so much numbers and I got tired. Is there an easier way to solve this PS question?

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Wed Sep 27, 2017 7:41 pm
    Hi Vincen,

    This prompt is essentially just a 'permutation' question, but it does have some minor 'quirks' to it that you have to be careful about to get the correct answer.

    We're asked for the total number of 3-digit numbers that:
    1) Can only use the digits 0, 2, 3, 4, 5, 7, 9
    2) Must be GREATER than 299.

    These restrictions will obviously limit the number of possibilities, but there's one other restriction that we have to remember: a 3-digit number CANNOT begin with a 0 (e.g. 045 is "45", which is a 2-digit number).

    The first digit can be: 3, 4, 5, 7, 9 (5 options)
    The second digit can be: 0, 2, 3, 4, 5, 7, 9 (7 options)
    The third digit can be: 0, 2, 3, 4, 5, 7, 9 (7 options)

    (5)(7)(7) = 245 total options

    Final Answer: B

    GMAT assassins aren't born, they're made,
    Rich

    _________________
    Contact Rich at Rich.C@empowergmat.com

    Thanked by: Vincen
    Post Fri Sep 29, 2017 7:19 pm
    Thanks. I really appreciate it.

    Best Conversation Starters

    1 lheiannie07 116 topics
    2 ardz24 64 topics
    3 swerve 63 topics
    4 LUANDATO 62 topics
    5 M7MBA 57 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    170 posts
    2 image description EconomistGMATTutor

    The Economist GMAT Tutor

    129 posts
    3 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    122 posts
    4 image description GMATGuruNY

    The Princeton Review Teacher

    121 posts
    5 image description Scott@TargetTestPrep

    Target Test Prep

    118 posts
    See More Top Beat The GMAT Experts