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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 ## The product P of two prime numbers is between 9 and 55. tagged by: M7MBA ##### This topic has 2 expert replies and 0 member replies ## The product P of two prime numbers is between 9 and 55. The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P = A. 15 B. 33 C. 34 D. 46 E. 51 The OA is the option E. Experts, how can I determine that the answer is the option E? May you give me an explanation here? Please. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply Hello M7MBA. Let's take a look at your question. We have one prime number "a" that is greater than 2 and less than 6. Hence a=3, 5. The other primer number "b" is greater than 13 and less than 25. Hence b=17, 19, 23. Hence, the possible products are: If a=3 then if b=17-------------------a*b=51. if b=19-------------------a*b=57. if b=23-------------------a*b=69. If a=5 then if b=17------------------a*b=85. if b=19------------------a*b=95. if b=23------------------a*b=115. Therefore the correct answer is the option E=51. I hope it helps you. I'm available if you'd like a follow-up. Regards. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 1778 messages Followed by: 14 members Upvotes: 43 M7MBA wrote: The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P = A. 15 B. 33 C. 34 D. 46 E. 51 The primes greater than 2 but less than 6 are 3 and 5. The primes greater than 13 but less than 25 are 17, 19, and 23. Thus, we see that P could only be 3 x 17 = 51. Increasing either factor in this product would result in a number that is greater than 55. Answer: E _________________ Scott Woodbury-Stewart Founder and CEO • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 1 Hour Free 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep 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 Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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