Greatest common divisor

This topic has expert replies
Newbie | Next Rank: 10 Posts
Posts: 3
Joined: Tue Apr 23, 2013 3:10 am

Greatest common divisor

by sivanhas » Mon Apr 29, 2013 2:32 am
If R, T and L are positive integers, and R=16T+2L, what is the greatest possible common divisor of R and T?
1)32L
2)2L
3)16+2L
4)T
5)T+2

I will be thankful for a good explanation :)

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 511
Joined: Wed Aug 11, 2010 9:47 am
Location: Delhi, India
Thanked: 344 times
Followed by:86 members

by Anju@Gurome » Mon Apr 29, 2013 3:32 am
sivanhas wrote:If R, T and L are positive integers, and R=16T+2L, what is the greatest possible common divisor of R and T?
R = 16T + 2L > T and T cannot have a divisor greater than T.
So, the greatest possible common divisor of R and T is T.

The correct answer is D.
Anju Agarwal
Quant Expert, Gurome

Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.

§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §