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When positive integer A is divided by positive integer

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When positive integer A is divided by positive integer  [#permalink]

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New post 06 Jun 2017, 05:50
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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

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When positive integer A is divided by positive integer  [#permalink]

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New post Updated on: 02 Oct 2017, 11:35
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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
Check the answer choice.....not there.

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
Check the answer choice.....not there.
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!

Answer:

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

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New post 06 Jun 2017, 06:01
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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Re: When positive integer A is divided by positive integer  [#permalink]

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New post 06 Jun 2017, 08:37
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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Re: When positive integer A is divided by positive integer  [#permalink]

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New post 06 Jun 2017, 08:48
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(A/B)=Q+(R/B)
9.35=9+(35/100)=9+(7/20)
So reminder should be a multiple of 7...
So answer B
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Re: When positive integer A is divided by positive integer  [#permalink]

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New post 07 Jun 2017, 09:29
consider the decimal part.. 35/100 equals to 7/20

remaineder shud be multiple of 7,,
ans B 14
hope it helps
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Re: When positive integer A is divided by positive integer  [#permalink]

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New post 20 Aug 2018, 16:56
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Re: When positive integer A is divided by positive integer &nbs [#permalink] 20 Aug 2018, 16:56
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