If a and b are positive integers and a divided by b equals 35.24, whic

Question

If a and b are positive integers and a divided by b equals 35.24, which of the following could be the remainder when a is divided by b?

A. 3
B. 6
C. 8
D. 10
E. 11

JeffTargetTestPrep · Accepted Answer

We are given that a divided by b equals 35.24. Let’s express this using the remainder formula:

a/b = 35 + 24/100 (That is, if b = 100, then the remainder of a/b is 24.)

a/b = 35 + 12/50 (That is, if b = 50, then the remainder of a/b is 12.)

a/b = 35 + 6/25 (That is, if b = 25, then the remainder of a/b is 6.)

We see that the remainder of a/b is a multiple of 6, and thus the answer must be B.

vitaliyGMAT · Answer

\frac{24}{100} = \frac{6}{25}

Remainder should be multiple of 6.

Answer B.

RR88 · Answer

Option B)

\frac{a}{b}  = 35.24 = 35 +0.24 = 35 +  \frac{24}{100} 
:Remainder would come from  \frac{24}{100}  =  \frac{6}{25} 
:Remainder (\frac{a}{b})  = 6

AkshdeepS · Answer

We can sort it as follows:

\frac{a}{b} = 35 +\frac{24}{100}

Or  \frac{24}{100} = \frac{6}{25}

\frac{6 (remainder)}{25 (divisor)}

SidKan · Answer

24100=62524100=625

Remainder should be multiple of 6.

Answer B.

nigina93 · Answer

a/b=35.24=35 24/100 or 35 6/26. we see that 6 is remainder, which is the answer

Abhishek009 · Answer

\frac{a}{b} = 35.24 = \frac{3524}{100}

Or,  \frac{3524}{100}

Or,  \frac{881}{25}

Since  35*25 = 875  , we will have remainder  6  for  \frac{881}{25}  , Answer must be (B)
 Hope this helps you to some extent , in case of any specific doubts please qoute the same for detailed discussion...

rito54 · Answer

Hello! would you have similar questions? Thank you!

Bunuel · Answer

Check below: https://gmatclub.com/forum/if-s-and-t-a ... 35190.html https://gmatclub.com/forum/if-s-and-t-a ... 93591.html https://gmatclub.com/forum/if-x-and-y-a ... 32196.html https://gmatclub.com/forum/if-a-and-b-a ... 06377.html Hope this helps.

If a and b are positive integers and a divided by b equals 35.24, whic

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