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# If a,b are positive integers and a/b = 87.75 which of the following

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Senior Manager
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If a,b are positive integers and a/b = 87.75 which of the following  [#permalink]

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Updated on: 28 Jun 2017, 08:28
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Difficulty:

15% (low)

Question Stats:

77% (01:11) correct 23% (01:32) wrong based on 98 sessions

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If a,b are positive integers and a/b = 87.75 which of the following could be the value of b?

A. 25
B. 26
C. 27
D. 28
E. 30

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Originally posted by sdas on 05 Dec 2011, 07:07.
Last edited by Bunuel on 28 Jun 2017, 08:28, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: If a,b are positive integers and a/b = 87.75 which of the following  [#permalink]

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05 Dec 2011, 07:37
1

I solve this way, don´t know if its the best one:

87.75 has a remainder of 0.75 or 3/4. b MUST be a multiple of the denominator of the remainder, in this case it must be a multiple of 4. The only number that is a multiple of 4 in the possible answers is the number 28. So D. 28 is the answer

sdas wrote:

If a,b are positive integers and a/b=87.75 which of the following could be the value of b?

1. 25
2. 26
3. 27
4. 28
5. 30

sorry posted in wrong forum
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GMAT 1: 740 Q48 V42
Re: If a,b are positive integers and a/b=87.75 which of the following  [#permalink]

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05 Dec 2011, 08:29
Here is the quick and dirty way to solve this.

The prompt tells us that a/b = 87.75 so we know that B must be a number that could result in .75. This immediately rules out B (26), C (27), and E (30). Since they are non-terminating decimals. That leaves us with A and D. Quick way to solve is just choose one and multiple by 87.75 if the answer is an integer than its correct.

Taking A we find that it is not an integer so it must be D.
Alternatively taking D we find that 28 x 87.75 = 2457 since that is an integer it must be D.

Hope that helps.
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Re: If a,b are positive integers and a/b=87.75 which of the following  [#permalink]

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05 Dec 2011, 08:53
1
Given a/b = 87.75.
this is 87 and 3/4 = 351/4
Since a and b are integers we know that whatever is the value of b, it must be divisible by 4 completely(to make a an integer)
from the options only D=28 is a multiple of 4 which is your answer.

IMO Option D
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Re: If a,b are positive integers and a/b=87.75 which of the following  [#permalink]

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05 Dec 2011, 09:15
for the Value of b, a has to a positive integer.
a= b*87.75
=b*8775/100
Plugging in b=28 gives an integer value for a. D
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Re: If a,b are positive integers and a/b=87.75 which of the following  [#permalink]

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05 Dec 2011, 22:31
1
1
sdas wrote:

If a,b are positive integers and a/b=87.75 which of the following could be the value of b?

1. 25
2. 26
3. 27
4. 28
5. 30

Here is a post I wrote some time back on such questions: http://www.veritasprep.com/blog/2011/05 ... emainders/

Hope it will clear your doubts and you will be able to solve this question on your own.
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Re: If a,b are positive integers and a/b = 87.75 which of the following  [#permalink]

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06 Dec 2011, 01:55
Answer is 28/ Bcoz only 24 is the multiple of 4 and only 4 can give u 0.75
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Re: If a,b are positive integers and a/b = 87.75 which of the following  [#permalink]

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06 Dec 2011, 02:17
This should really be in the PS forum (moved).
Whats the source of this?

Thanks.
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Re: If a,b are positive integers and a/b = 87.75 which of the following  [#permalink]

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06 Dec 2011, 08:47
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Re: If a,b are positive integers and a/b = 87.75 which of the following  [#permalink]

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06 Dec 2011, 23:04
1
If a,b are positive integers and a/b=87.75

here 87.75 = 87 + (3/4)
so a= b*87+ b*3/4
since a and be are integer. b*87 is also integer. to evaluate this exp to integer b*3/4 must be integer. so b must be divisible by 4.

here 28 is only divisible by 4

ans is 28
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Re: If a,b are positive integers and a/b = 87.75 which of the following  [#permalink]

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08 Dec 2017, 23:45
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Re: If a,b are positive integers and a/b = 87.75 which of the following &nbs [#permalink] 08 Dec 2017, 23:45
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