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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 ## n is a positive integer less than 50. When n is divided by tagged by: Max@Math Revolution ##### This topic has 1 expert reply and 1 member reply ### GMAT/MBA Expert ## n is a positive integer less than 50. When n is divided by ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [Math Revolution GMAT math practice question] n is a positive integer less than 50. When n is divided by 6, the remainder is 2, and when n is divided by 7, the remainder is 6. What is the remainder when n is divided by 8? A. 1 B. 2 C. 3 D. 4 E. 5 _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only Worldâ€™s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$99 for 3 month Online Course
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### Top Member

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When n is divided by 6, the remainder is 2.
When n is divided by 7, the remainder is 6.
(7x+6)/6 should give remainder 2
x=2 satisfies the equation.

Hence, the general equation will be 7*6x + 20 = 42x+20.
Since n is less than 50. Put x=0. Then n=20.

20/8 will leave a remainder 4. Therefore, D is the correct answer. Regards!

### GMAT/MBA Expert

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The positive integers less than 50 that have a remainder of 2 when they are divided by 6 are n = 2, 8, 14, 20, 26, 32, 38 and 44.
The positive integers less than 50 that have a remainder of 6 when they are divided by 7 are n = 6, 13, 20, 27, 34, 41 and 48.
The only integer in both lists is n = 20.
20 has a remainder of 4 when it is divided by 8.

Therefore, the answer is D.

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