• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If the product of the integers a, b, c, and d is tagged by: M7MBA ##### This topic has 2 expert replies and 0 member replies ## If the product of the integers a, b, c, and d is 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? ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10109 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Top Reply 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 ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1461 messages Followed by: 18 members Upvotes: 39 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

### Top First Responders*

1 GMATGuruNY 58 first replies
2 Brent@GMATPrepNow 44 first replies
3 Jay@ManhattanReview 41 first replies
4 Ian Stewart 29 first replies
5 ceilidh.erickson 17 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

212 posts
2 fskilnik@GMATH

GMATH Teacher

128 posts
3 Max@Math Revolution

Math Revolution

87 posts
4 GMATGuruNY

The Princeton Review Teacher

85 posts
5 Brent@GMATPrepNow

GMAT Prep Now Teacher

68 posts
See More Top Beat The GMAT Experts