## n is a positive integer less than 50. When n is divided by

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### n is a positive integer less than 50. When n is divided by

by Max@Math Revolution » Mon Aug 06, 2018 11:51 pm

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[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

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[Course] Starting $79 for on-demand and$60 for tutoring per hour and $390 only for Live Online. Email to : [email protected] Legendary Member Posts: 2175 Joined: Sun Oct 29, 2017 2:04 pm Followed by:6 members by swerve » Wed Aug 08, 2018 10:25 am 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! Elite Legendary Member Posts: 3991 Joined: Fri Jul 24, 2015 2:28 am Location: Las Vegas, USA Thanked: 19 times Followed by:37 members by Max@Math Revolution » Thu Aug 09, 2018 12:20 am => 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. Answer: D Math Revolution The World's Most "Complete" GMAT Math Course! Score an excellent Q49-51 just like 70% of our students. [Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions. [Course] Starting$79 for on-demand and $60 for tutoring per hour and$390 only for Live Online.
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### Re: n is a positive integer less than 50. When n is divided by

by Scott@TargetTestPrep » Thu Mar 23, 2023 10:52 am
Max@Math Revolution wrote:
Mon Aug 06, 2018 11:51 pm
[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
Using the first piece of information, we see that n can be:

2, 8, 14, 20, 26…

Using the second pieice of information, we see that n can be:

6, 13, 20

Since 20 matches both lists, we can say n = 20.

Thus, 20/8 2 remainder 4.