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Director  D
Joined: 13 Mar 2017
Posts: 730
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
When positive integer A is divided by positive integer  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 70% (01:32) correct 30% (02:05) wrong based on 242 sessions

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When positive integer A is divided by positive integer B, the result is 9.35. Which of the following could be the remainder when A is divided by B ?

(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4145
When positive integer A is divided by positive integer  [#permalink]

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shashankism wrote:
When positive integer A is divided by positive integer B, the result is 9.35. Which of the following could be the remainder when A is divided by B ?

(A) 13
(B) 14
(C) 15
(D) 16
(E) 17

Given: A/B = 9.35
So, we can write: A/B = 935/100
So, dividing A by B is the same as dividing 935 by 100
When we do this, we get 9 with remainder 35

Now what?
We should recognize that we can simplify 935/100 by dividing top and bottom by 5 to get the equivalent fraction 187/20
In other words, we can say A/B = 187/20
So, dividing A by B is the same as dividing 187 by 20
When we do this, we get 9 with remainder 7
Now what?

When I check the answer choices, I see that B (14) is a multiple of 7
That should give us a hint about another way to express our given fraction.
Take 187/20 and double the top and bottom to get the equivalent fraction 374/40
When we divide 374 by 40, we get remainder 14
DONE!

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Originally posted by GMATPrepNow on 06 Jun 2017, 09:44.
Last edited by GMATPrepNow on 02 Oct 2017, 11:35, edited 1 time in total.
##### General Discussion
Manager  S
Joined: 30 Mar 2017
Posts: 69
Re: When positive integer A is divided by positive integer  [#permalink]

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Should be B. The only one through which we can get .35 after dividing it by 40.( An integer) so A= 40*9+14=374.

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Math Expert V
Joined: 02 Sep 2009
Posts: 59712
Re: When positive integer A is divided by positive integer  [#permalink]

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shashankism wrote:
When positive integer A is divided by positive integer B, the result is 9.35. Which of the following could be the remainder when A is divided by B ?

(A) 13
(B) 14
(C) 15
(D) 16
(E) 17

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Intern  B
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Re: When positive integer A is divided by positive integer  [#permalink]

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3
(A/B)=Q+(R/B)
9.35=9+(35/100)=9+(7/20)
So reminder should be a multiple of 7...
Senior Manager  S
Joined: 21 Mar 2016
Posts: 494
Re: When positive integer A is divided by positive integer  [#permalink]

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consider the decimal part.. 35/100 equals to 7/20

remaineder shud be multiple of 7,,
ans B 14
hope it helps
Non-Human User Joined: 09 Sep 2013
Posts: 13740
Re: When positive integer A is divided by positive integer  [#permalink]

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_________________ Re: When positive integer A is divided by positive integer   [#permalink] 20 Aug 2018, 16:56
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