GMAT question - If a and b are positive integers such that a/b = 23.... - Review

Type: Problem Solving

Difficulty:

If a and b are positive integers such that a/b = 23.15, which of the following could be the remainder when a is divided by b?

The question tell us that

$mathematical expression$

Therefore

$mathematical expression$

Where R is the remainder.

Since a, b and R are positive integers and we know that

` $mathematical expression$

R must be divisible by 3.

The only answer which is divisible by 3 is 21 and therefore E is correct.

Comments (4):

Good one

Citch on 17 Dec 2009 (permalink)
Why must R be divisible by 21?

lizonnat on 22 Feb 2011 (permalink)
lizonnat,

R does not need to be divisible by 21 but it must be divisible by 3.

The only one of the answers divisible by 3 is 21 (answer E), and therefore answer E must be the correct one.

J.

joel on 23 Feb 2011 (permalink)
Oh I see it now (similar to the other question I had). Thanks!

lizonnat on 2 Mar 2011 (permalink)

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