BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Could anyone explain the answer details?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 520
Joined: Sat Apr 28, 2012 9:12 pm
Thanked: 339 times
Followed by:49 members
GMAT Score:770

by eagleeye » Mon May 28, 2012 8:53 pm
Hi robin:

For these types of questions, I would focus on the decimal part since it signifies the remainder.

Now we have decimal part = 0.45 = 45/100; lets reduce it to the simplest fraction form:

45/100 = 9/20. Therefore we know that when one of the INTEGERS "a" is divided by "b"; remainder is a multiple of 9 (the numerator). Now just look for the number which is NOT a multiple of 9. [spoiler](3 is the correct answer).[/spoiler]

Let me know if this helps :)
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Mon May 28, 2012 8:58 pm
rrobiinn wrote:a and b are integers such that a/b =3.45. If R is the remainder of a/b, which of the following
be could NOT be equal to R?

(A) 3
(8) 9
(C) 36
(D) 81
(E) 144
Say, when a is divided by b, the quotient is x.
Hence, a = bx + R

But, a/b = 3.45 => a = 3.45b = 3b + .45b

As a, b and R are integers, comparing the terms, x must be equal to 3 and R must be equal to 0.45b.

Hence, for b to be integer, (R/0.45) must be an integer.
For R = 3, (R/.45) is not an integer, i.e. 3 cannot be a value of R.

The correct answer is A.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Mon May 28, 2012 9:18 pm
Refer to this post >> https://www.beatthegmat.com/number-prope ... tml#345431
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
User avatar
Junior | Next Rank: 30 Posts
Posts: 24
Joined: Tue Mar 06, 2012 5:35 am

by rrobiinn » Mon May 28, 2012 9:32 pm
Anurag@Gurome wrote:
rrobiinn wrote:a and b are integers such that a/b =3.45. If R is the remainder of a/b, which of the following
be could NOT be equal to R?

(A) 3
(8) 9
(C) 36
(D) 81
(E) 144
Say, when a is divided by b, the quotient is x.
Hence, a = bx + R

But, a/b = 3.45 => a = 3.45b = 3b + .45b

As a, b and R are integers, comparing the terms, x must be equal to 3 and R must be equal to 0.45b.

Hence, for b to be integer, (R/0.45) must be an integer.
For R = 3, (R/.45) is not an integer, i.e. 3 cannot be a value of R.

The correct answer is A.
One of the best explanations for beginners.
Thanks.
Top
Post new topic Post Reply
• Page 1 of 1