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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 ## Is the integer p divisible by 5 ? tagged by: AbeNeedsAnswers ##### This topic has 3 expert replies and 0 member replies ## Is the integer p divisible by 5 ? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Is the integer p divisible by 5 ? (1) p is divisible by 10. (2) p is not divisible by 15. A Source: Official Guide 2020 ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 13001 messages Followed by: 1250 members Upvotes: 5254 GMAT Score: 770 AbeNeedsAnswers wrote: Is the integer p divisible by 5 ? (1) p is divisible by 10. (2) p is not divisible by 15. Target question: Is the integer p divisible by 5? Statement 1: p is divisible by 10. If p is divisible by 10, we can write: p = 10k, for some integer k. Rewrite this as: p = (5)(2)(k) This tells us that p is a multiple of 5, which means p must be divisible by 5 Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: p is not divisible by 15. Well, there are MANY numbers that are NOT divisible by 15. Here are two: Case a: p = 20. In this case, the answer to the target question is YES, p IS divisible by 5 Case b: p = 21. In this case, the answer to the target question is NO, p is NOT divisible by 5 Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT Answer: A Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 496 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that P is an integer. We're asked if P is divisible by 5. This is a YES/NO question and can be solved with Number Properties and/or TESTing VALUES. (1) P is divisible by 10. Since P is divisible by 10, we know that it is also a multiple of 2 and a multiple of 5. For example, P could be -20, -10, 0, 10, 20, 30, 40...etc. All of these numbers are clearly evenly divisible by 5 (since they all 'end in 0'), thus the answer to the question is ALWAYS YES. Fact 1 is SUFFICIENT (2) P is not divisible by 15. The information in Fact 2 doesn't restrict the value of P too much (it just cannot be divisible by 15). IF.... P = 5, then the answer to the question is YES. P = 6, then the answer to the question is NO. Fact 2 is INSUFFICIENT Final Answer: A GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2852 messages Followed by: 18 members Upvotes: 43 AbeNeedsAnswers wrote: Is the integer p divisible by 5 ? (1) p is divisible by 10. (2) p is not divisible by 15. A Source: Official Guide 2020 Statement One Alone: p is divisible by 10. We know that if integer n is divisible by integer b, then n is also divisible by any factors of b. Since p is divisible by 10, and 5 is a factor of 10, then p is also divisible by 5. Statement one alone is sufficient to answer the question. Statement Two Alone: p is not divisible by 15. If p is 20, p/5 is an integer; however, if p = 21, then p/5 is not an integer. Statement two alone is not sufficient to answer the question. Answer: A _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • 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 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 • FREE GMAT Exam Know how you'd score today for$0

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