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Re: Number System [#permalink]
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 :(
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Re: Number System [#permalink]
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I checked again, the answer is 25.

Thank you guys, I get it now!!
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Re: Number System [#permalink]
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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..
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Positive Integer A gives the remainder of 6 when divided by [#permalink]
[b]A/b = (quotient) + remainder/B
(quotient) = B * x where x an integer

Originally posted by Silver89 on 02 Aug 2011, 06:06.
Last edited by Silver89 on 24 Feb 2020, 13:33, edited 1 time in total.
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Re: Number System [#permalink]
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..
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Re: Number System [#permalink]
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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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Re: Number System [#permalink]
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...
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Re: Number System [#permalink]
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 :wink:
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Re: Number System [#permalink]
Aannnhhhh...+1 for you for all the help (nt to forget for the info too) :wink:
btw um still a lil unclear on this problem..will review it and get back to you for more help :-D
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Re: Number System [#permalink]
DeeptiM wrote:
Aannnhhhh...+1 for you for all the help (nt to forget for the info too) :wink:
btw um still a lil unclear on this problem..will review it and get back to you for more help :-D

you have to press the button under my name not ur name :-D
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Positive Integer A gives the remainder of 6 when divided by [#permalink]
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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?
The answer is 48


Check out the blog posts on the link given in my signature.

Originally posted by KarishmaB on 04 Aug 2011, 04:30.
Last edited by KarishmaB on 08 Oct 2022, 03:23, edited 1 time in total.
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Re: Number System [#permalink]
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A/B=47.24
A/B=4724/100=1181/25.
B= 25
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Re: Number System [#permalink]
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DeeptiM wrote:
Aannnhhhh...+1 for you for all the help (nt to forget for the info too) :wink:
btw um still a lil unclear on this problem..will review it and get back to you for more help :-D


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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Re: Number System [#permalink]
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?
The answer is 48


I have discussed this concept in this post:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/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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Re: Positive Integer A gives the remainder of 6 when divided by [#permalink]
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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 \(B=25\).

Answer: D.

Hope it's clear.
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Re: Positive Integer A gives the remainder of 6 when divided by [#permalink]
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]
A/B=47+6/B
6/B=0.24
B=600/24=25
Simple!
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Re: Positive Integer A gives the remainder of 6 when divided by [#permalink]
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