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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep

Admissions Success Stories If the product of the integers a, b, c, and d is

This topic has 2 expert replies and 0 member replies

M7MBA Moderator Default Avatar
Joined
29 Oct 2017
Posted:
335 messages
Followed by:
3 members
Upvotes:
1

If the product of the integers a, b, c, and d is

Post Sun Feb 18, 2018 4:48 am
If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a - d?

(A) 2
(B) 8
(C) 10
(D) 11
(E) 14

The OA is the option B.

How can I determine the value of a, b, c and d? What is the best approach to finding them? Experts, can you help me?

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Top Reply
Post Sun Feb 18, 2018 10:45 am
Hi M7MBA,

We're told that the product of the integers A, B, C and D is 1,155 and A > B > C > D > 1. We're asked for the value of A - D. This question comes down to 'prime factorization' and a bit of Arithmetic.

We know that the 4 variables are INTEGERS and we know that they are DIFFERENT from one another. To define those values, we have to 'break down' the product (1155) into its pieces.

1155 =
(5)(231) =
(5)(3)(77) =
(5)(3)(7)(11)

Given the inequality... A=11, B=7, C=5 and D=3... so (A - D) = (11 - 3) = 8

Final Answer: B

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

_________________
Contact Rich at Rich.C@empowergmat.com

  • +1 Upvote Post
  • Quote
  • Flag
Post Wed Feb 21, 2018 1:40 pm
M7MBA wrote:
If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a - d?

(A) 2
(B) 8
(C) 10
(D) 11
(E) 14
We can start by expressing 1,155 as the product of its prime factors.

1,155 = 5 x 231 = 5 x 77 x 3 = 5 x 7 x 11 x 3

This means that a = 11, b = 7, c = 5, and d = 3.

Thus, a - d = 11 - 3 = 8.

Answer: B

_________________
Jeffrey Miller Head of GMAT Instruction

  • +1 Upvote Post
  • Quote
  • Flag

Top First Responders*

1 Jay@ManhattanReview 76 first replies
2 GMATGuruNY 61 first replies
3 Brent@GMATPrepNow 46 first replies
4 Rich.C@EMPOWERgma... 33 first replies
5 ceilidh.erickson 18 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 Brent@GMATPrepNow

GMAT Prep Now Teacher

107 posts
2 image description GMATGuruNY

The Princeton Review Teacher

94 posts
3 image description Jeff@TargetTestPrep

Target Test Prep

93 posts
4 image description Max@Math Revolution

Math Revolution

91 posts
5 image description Jay@ManhattanReview

Manhattan Review

88 posts
See More Top Beat The GMAT Experts