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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 ## Can the positive integer y be expressed as the product of ##### This topic has 1 expert reply and 0 member replies ### Top Member ## Can the positive integer y be expressed as the product of ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Can the positive integer y be expressed as the product of two integers, each of which is greater than 1? (1) 47 <= y <= 53 (2) y is even ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10112 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Top Reply Hi All, We're told that Y is a positive integer. We're asked if Y can be expressed as the PRODUCT of two integers, each of which is greater than 1. This is a YES/NO question and can be solved by TESTing VALUES. To start, this question has a 'logic shortcut' built into it. For a number to be based on the product of two integers (that are both GREATER than 1), the number will NOT be a prime number. In other words, the question is asking "Is Y a number that is NOT prime?" 1) 47 <= Y <= 53 IF.... Y=47, then the answer to the question is NO Y=48, then Y could be written as (2)(24) and the answer to the question is YES Fact 1 is INSUFFICIENT 2) Y is EVEN IF.... Y=2, then the answer to the question is NO Y=48, then Y could be written as (2)(24) and the answer to the question is YES Fact 2 is INSUFFICIENT Combined, we know... 47 <= Y <= 53 Y is EVEN The even numbers in that range are 48, 50 and 52. All 3 integers CAN be written as the product of two integers that are greater than 1 (2x24, 2x25 and 2x26, respectively), so the answer to the question is ALWAYS YES. Combined, SUFFICIENT Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • Free Trial & Practice Exam 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 Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE 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 • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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