Positive Integer A gives the remainder of 6 when divided by

Question

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

varunmaheshwari · Accepted Answer

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

Silver89 · Answer

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

DeeptiM · Answer

Sorry, I don't think I get the point..Can you help and explain it further pls

DeeptiM · Answer

I checked again, the answer is 25.

Thank you guys, I get it now!!

DeeptiM · Answer

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..

Silver89 · Answer

A/b = (quotient) + remainder/B
(quotient) = B * x where x an integer

DeeptiM · Answer

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..

Silver89 · Answer

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

DeeptiM · Answer

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

Silver89 · Answer

+1 means they gave you kudos :wink:

DeeptiM · Answer

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

Silver89 · Answer

you have to press the button under my name not ur name :-D

KarishmaB · Answer

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

kewlkam · Answer

A/B=47.24 
A/B=4724/100=1181/25.
B= 25

krishp84 · Answer

I am putting my explanations.....See if you grasp it.
 
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

kuttingchai · Answer

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

Bunuel · Answer

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.

sanjoo · Answer

Its 25..

6 
47.24= 47-- = in denominator its 25 that means divisor is 25..and 6 is the remaider.. 
 25

sharmila79 · Answer

A/B=47+6/B
6/B=0.24
B=600/24=25
Simple!

Positive Integer A gives the remainder of 6 when divided by

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GMAT Problem Solving (PS) Questions

Positive Integer A gives the remainder of 6 when divided by

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