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For positive integers a and b, when a is divided by b the result is 14

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Math Expert
Joined: 02 Sep 2009
Posts: 49303
For positive integers a and b, when a is divided by b the result is 14  [#permalink]

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09 Oct 2016, 03:07
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35% (medium)

Question Stats:

71% (01:11) correct 29% (01:17) wrong based on 211 sessions

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For positive integers a and b, when a is divided by b the result is 14.375. Which of the following could represent the value of b?

A. 28
B. 32
C. 36
D. 42
E. 50

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Posts: 6800
Re: For positive integers a and b, when a is divided by b the result is 14  [#permalink]

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09 Oct 2016, 04:37
3
Bunuel wrote:
For positive integers a and b, when a is divided by b the result is 14.375. Which of the following could represent the value of b?

A. 28
B. 32
C. 36
D. 42
E. 50

The Q tells us that 14.375*b =a...
Or (14+0.375)*b=a.. and a and b are integers..
So b* 0.375 should be an integer...
Where ever you have decimal ending with 5, multiplication by 2 will help in reducing a decimal place..
So multiply by 2s till you get an integer...
0.375 multiplied by 2*2*2 gives us an integer 3..
So b has to be a multiple of 8..

Only B is a multiple of 8..
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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For positive integers a and b, when a is divided by b the result is 14  [#permalink]

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Updated on: 01 Feb 2017, 10:21
4
Bunuel wrote:
For positive integers a and b, when a is divided by b the result is 14.375. Which of the following could represent the value of b?

A. 28
B. 32
C. 36
D. 42
E. 50

Hi... I am not super good with quant and tend to think in simple lines and hence fololwing was the approach adopted by me:
a/b = 14 +375/1000
or a/b = 14+ 3/8
so i was able to GUESS that b has do something with a multiple of 8, and of the options given 32 fulfills this thing...
Hence marked B

Originally posted by saurabhsavant on 01 Feb 2017, 10:10.
Last edited by saurabhsavant on 01 Feb 2017, 10:21, edited 1 time in total.
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Re: For positive integers a and b, when a is divided by b the result is 14  [#permalink]

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02 Feb 2017, 08:14
saurabhsavant wrote:
Bunuel wrote:
For positive integers a and b, when a is divided by b the result is 14.375. Which of the following could represent the value of b?

A. 28
B. 32
C. 36
D. 42
E. 50

Hi... I am not super good with quant and tend to think in simple lines and hence fololwing was the approach adopted by me:
a/b = 14 +375/1000
or a/b = 14+ 3/8
so i was able to GUESS that b has do something with a multiple of 8, and of the options given 32 fulfills this thing...
Hence marked B

I am with you....

$$\frac{1}{8} = 0.125$$

Now, check the options, only (B) is a multiple of 8 , hence thats the correct answer...
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Abhishek....

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Re: For positive integers a and b, when a is divided by b the result is 14  [#permalink]

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06 Mar 2018, 17:14
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: For positive integers a and b, when a is divided by b the result is 14 &nbs [#permalink] 06 Mar 2018, 17:14
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