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# Positive Integer A gives the remainder of 6 when divided by

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Manager
Joined: 16 Feb 2011
Posts: 232
Positive Integer A gives the remainder of 6 when divided by [#permalink]

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02 Aug 2011, 04:14
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Question Stats:

82% (00:55) correct 18% (02:19) wrong based on 176 sessions

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Positive Integer A gives the remainder of 6 when divided by another positive Integer B. If A/B = 47.24, what is the value of B?

A. 96
B. 75
C. 48
D. 25
E. 12
[Reveal] Spoiler: OA

Last edited by Bunuel on 28 Jun 2012, 02:20, edited 1 time in total.
Edited the question and added the OA
Manager
Joined: 25 Aug 2008
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02 Aug 2011, 04:22
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I think the answer should be 25.

This is how i solved.

.24 of B = Remainder
.24 of B = 6

B = (6 *100) / 24 = 25.

When crosschecked with 6 / 25, u'll get an answer of 0.24

If u try to divide 6 / 48 , answer is 0.125
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02 Aug 2011, 04:34
varunmaheshwari wrote:
I think the answer should be 25.

This is how i solved.

.24 of B = Remainder
.24 of B = 6

B = (6 *100) / 24 = 25.

When crosschecked with 6 / 25, u'll get an answer of 0.24

If u try to divide 6 / 48 , answer is 0.125

Sorry, I don't think I get the point..Can you help and explain it further pls
Manager
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02 Aug 2011, 05:22
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A/b = (quotient) + remainder/B = 47.24
(quotient ) = 47
remainder/B = 0.24
so remainder = 0.24 * B
6 = 0.24 * B
B = 6/0.24 = 25
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Manager
Joined: 16 Feb 2011
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02 Aug 2011, 05:43
I checked again, the answer is 25.

Thank you guys, I get it now!!
Manager
Joined: 16 Feb 2011
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02 Aug 2011, 05:57
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Silver89 wrote:
A/b = (quotient) + remainder/B = 47.24
(quotient ) = 47
remainder/B = 0.24
so remainder = 0.24 * B
6 = 0.24 * B
B = 6/0.24 = 25

I have a ques to ask..though it might be a very stupid one but need help..

When you did A/b = (quotient) + remainder/B = 47.24
why did you only divide remainder by B..is there a concept which i seem to miss..
Manager
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02 Aug 2011, 06:06
A/b = (quotient) + remainder/B
(quotient) = B * x where x an integer
P.s i can see you have 60 posts and 0 kudos ..... start giving kudos to thank people who are helping yo
u
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How can i lose my faith in life's fairness when i know that the dreams of those who sleep on the feathers are not more beautiful than the dreams of those who sleep on the ground? - Jubran Khaleel Jubran

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02 Aug 2011, 06:25
Honestly, I dont know how to do it..jst started with this site in a hope to get some help..if therez a way i can thank ppl..wld luv to do so..
Manager
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02 Aug 2011, 06:27
DeeptiM wrote:
Honestly, I dont know how to do it..jst started with this site in a hope to get some help..if therez a way i can thank ppl..wld luv to do so..

below the name there is a buttom called +1 kudos
press it whenever want to thank anyone
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How can i lose my faith in life's fairness when i know that the dreams of those who sleep on the feathers are not more beautiful than the dreams of those who sleep on the ground? - Jubran Khaleel Jubran

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02 Aug 2011, 11:39
Silver89 wrote:
DeeptiM wrote:
Honestly, I dont know how to do it..jst started with this site in a hope to get some help..if therez a way i can thank ppl..wld luv to do so..

below the name there is a buttom called +1 kudos
press it whenever want to thank anyone

ohhh I see ppl write +1 in their post..is it as gud as giving a kudos or you need you press the button...
Manager
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02 Aug 2011, 11:51
DeeptiM wrote:
Silver89 wrote:
DeeptiM wrote:
Honestly, I dont know how to do it..jst started with this site in a hope to get some help..if therez a way i can thank ppl..wld luv to do so..

below the name there is a buttom called +1 kudos
press it whenever want to thank anyone

ohhh I see ppl write +1 in their post..is it as gud as giving a kudos or you need you press the button...

+1 means they gave you kudos
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How can i lose my faith in life's fairness when i know that the dreams of those who sleep on the feathers are not more beautiful than the dreams of those who sleep on the ground? - Jubran Khaleel Jubran

Manager
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02 Aug 2011, 12:17
Aannnhhhh...+1 for you for all the help (nt to forget for the info too)
btw um still a lil unclear on this problem..will review it and get back to you for more help
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02 Aug 2011, 12:20
DeeptiM wrote:
Aannnhhhh...+1 for you for all the help (nt to forget for the info too)
btw um still a lil unclear on this problem..will review it and get back to you for more help

you have to press the button under my name not ur name
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How can i lose my faith in life's fairness when i know that the dreams of those who sleep on the feathers are not more beautiful than the dreams of those who sleep on the ground? - Jubran Khaleel Jubran

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04 Aug 2011, 04:30
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Expert's post
DeeptiM wrote:
Positive Integer A gives the remainder of 6 when divided by another positive Integer B. If A/B = 47.24, what is the value of B?

96
75
48
25
12

Would appreciate if someone could help me understand the concept of solving such questions?

I have discussed this concept in this post:
http://www.veritasprep.com/blog/2011/05 ... emainders/
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05 Aug 2011, 15:02
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A/B=47.24
A/B=4724/100=1181/25.
B= 25
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05 Aug 2011, 19:47
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DeeptiM wrote:
Aannnhhhh...+1 for you for all the help (nt to forget for the info too)
btw um still a lil unclear on this problem..will review it and get back to you for more help

I am putting my explanations.....See if you grasp it.
DeeptiM wrote:
Positive Integer A gives the remainder of 6 when divided by another positive Integer B. If A/B = 47.24, what is the value of B?

96
75
48
25
12

A/B = 47.24 = $$47\frac{24}{100}$$ = $$47\frac{6}{25}$$

Any value of B should have the below two properties
1) Should be a factor of 100
2) Should be of the form$$\frac{24}{100}$$ if the numerator and denominator are multiplied together

You can see that without going to the step#2, the answer is only D - 25

If you want a better understand the theory, go through Karishma's blogs....They are wonderful in the sense that she has articulated the thought process in easy to understand words....

Try a variant of this question -
If A/B = 47.24, which of the following can be a value of B?

A. 20
B. 50
C. 200
D. 250
E. 12

This can have multiple answers, so the question can be A,B,C,etc
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Manager
Joined: 28 Jul 2011
Posts: 231

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27 Jun 2012, 12:54
VeritasPrepKarishma wrote:
DeeptiM wrote:
Positive Integer A gives the remainder of 6 when divided by another positive Integer B. If A/B = 47.24, what is the value of B?

96
75
48
25
12

Would appreciate if someone could help me understand the concept of solving such questions?

I have discussed this concept in this post:
http://www.veritasprep.com/blog/2011/05 ... emainders/

Thats a well crafted method

Thank you

A/B = 47.24

therefore 24/100 = 6/25 where 6 is the remainder and 25 is the divisor
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Posts: 44298
Re: Positive Integer A gives the remainder of 6 when divided by [#permalink]

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28 Jun 2012, 02:26
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Expert's post
DeeptiM wrote:
Positive integer A gives the remainder of 6 when divided by another positive integer B. If A/B = 47.24, what is the value of B?

A. 96
B. 75
C. 48
D. 25
E. 12

$$x$$ divided by $$y$$ yields the remainder of $$r$$ can always be expressed as: $$\frac{x}{y}=q+\frac{r}{y}$$ (which is the same as $$x=qy+r$$), where $$q$$ is the quotient and $$r$$ is the remainder.

So, A gives the remainder of 6 when divided by B can be written as $$\frac{A}{B}=q+\frac{6}{B}$$.

Next, given that $$\frac{A}{B}=47.24=47\frac{24}{100}=44\frac{6}{25}=44+\frac{6}{25}$$, so according to the above $$\frac{6}{B}=\frac{6}{25}$$, so $$B=25$$.

Hope it's clear.
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Re: Positive Integer A gives the remainder of 6 when divided by [#permalink]

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28 Jun 2012, 09:41
Its 25..

6
47.24= 47-- = in denominator its 25 that means divisor is 25..and 6 is the remaider..
25
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Re: Positive Integer A gives the remainder of 6 when divided by [#permalink]

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30 Jun 2012, 16:28
A/B=47+6/B
6/B=0.24
B=600/24=25
Simple!
Re: Positive Integer A gives the remainder of 6 when divided by   [#permalink] 30 Jun 2012, 16:28

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