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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 ## If a, b, c, d, e, f, g, and h represent any . . . tagged by: Vincen ##### This topic has 1 expert reply and 0 member replies ## If a, b, c, d, e, f, g, and h represent any . . . If a, b, c, d, e, f, g, and h represent any of the digits from 1 to 9, inclusive and the 5-digit number abcd9 is divisible by the 3-digit number ef7, then the quotient could be A. gh3 B. gh4 C. gh5 D. gh6 E. gh7 The OA is E . How can I know which is the correct option without knowing the entire number? ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 Vincen wrote: If a, b, c, d, e, f, g, and h represent any of the digits from 1 to 9, inclusive and the 5-digit number abcd9 is divisible by the 3-digit number ef7, then the quotient could be A. gh3 B. gh4 C. gh5 D. gh6 E. gh7 The OA is E . How can I know which is the correct option without knowing the entire number? Notice that among the answer choices, only the units digit varies. So effectively, the question is asking us what a possible units digit is when we divide a 5-digit number ending in 9 by a 3-digit number ending in 7. Let's say XXXX9/XX7 = q, where q is the quotient. Put another way XXXX9 = XX7 * q. So when we multiply one number ending in 7 by q, we'll get a product ending in 9. Now we can go to the answer choices and multiply each possible units digit of the quotient by 7 and see which will give us a units of 9. Only E works. If we have XX7 * gh7, we know the result will end in 9, as 7*7 = 49. _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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