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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 sum of two integers divisible by 10 ? tagged by: AbeNeedsAnswers ##### This topic has 2 expert replies and 0 member replies ## Is the sum of two integers divisible by 10 ? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Is the sum of two integers divisible by 10 ? (1) One of the integers is even. (2) One of the integers is a multiple of 5. E Source: Official Guide 2020 ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12989 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 AbeNeedsAnswers wrote: Is the sum of two integers divisible by 10 ? (1) One of the integers is even. (2) One of the integers is a multiple of 5. Target question: Is the sum of two integers divisible by 10 ? Statement 1: One of the integers is even. We only have information about ONE number. Statement 1 is NOT SUFFICIENT Statement 2: One of the integers is a multiple of 5. We only have information about ONE number. Statement 2 is NOT SUFFICIENT Statements 1 and 2 combined There are many possible pairs of values that satisfy BOTH statements. Here are two: Case a: The numbers are 10 (even) and 10 (divisible by 5). So, the sum = 20, which means the answer to the target question is YES, the sum of the integers IS divisible by 10. Case b: The numbers are 2 (even) and 15 (divisible by 5). So, the sum = 17, which means the answer to the target question is NO, the sum of the integers is NOT divisible by 10. Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT Answer: E 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 asked if the sum of two integers is divisible by 10. This is a YES/NO question can be solved by TESTing VALUES. (1) One of the integers is even. Fact 1 tells us about just one of the numbers; we know nothing about the other number. For organizational purposes, I'll refer to the 2 numbers as X and Y. IF.... X = 10 and Y = 0, then the answer to the question is YES. X = 10 and Y = 5, then the answer to the question is NO. Fact 1 is INSUFFICIENT (2) One of the integers is a multiple of 5. Fact 2 tells us about just one of the numbers; we know nothing about the other number. The TESTs that we used for Fact 1 also fit the information in Fact 2 (it's worth noting that 0 IS a multiple of 5). IF.... X = 10 and Y = 0, then the answer to the question is YES. X = 10 and Y = 5, then the answer to the question is NO. Fact 2 is INSUFFICIENT Combined, we know... One of the integers is even. One of the integers is a multiple of 5. Since we already have two examples that fit both Facts, there's no more work to be done - the answer could be either 'YES' or 'NO.' Combined, INSUFFICIENT Final Answer: E GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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