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

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Bunuel
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If a and b are positive integers and a divided by b equals 35.24, whic [#permalink] New post   08 Dec 2016, 13:03
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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
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Re: If a and b are positive integers and a divided by b equals 35.24, whic [#permalink] New post   12 Dec 2016, 18:13
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Bunuel wrote:
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


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.
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Re: If a and b are positive integers and a divided by b equals 35.24, whic [#permalink] New post   08 Dec 2016, 14:04
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\(\frac{24}{100} = \frac{6}{25}\)

Remainder should be multiple of 6.

Answer B.
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Re: If a and b are positive integers and a divided by b equals 35.24, whic [#permalink] New post   09 Dec 2016, 02:45
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
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Re: If a and b are positive integers and a divided by b equals 35.24, whic [#permalink] New post   29 Mar 2018, 23:04
Bunuel wrote:
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


We can sort it as follows:

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

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

\(\frac{6 (remainder)}{25 (divisor)}\)
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Re: If a and b are positive integers and a divided by b equals 35.24, whic [#permalink] New post   08 Apr 2018, 07:04
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24100=62524100=625

Remainder should be multiple of 6.

Answer B.
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Re: If a and b are positive integers and a divided by b equals 35.24, whic [#permalink] New post   18 Jun 2018, 08:43
a/b=35.24=35 24/100 or 35 6/26. we see that 6 is remainder, which is the answer
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Re: If a and b are positive integers and a divided by b equals 35.24, whic [#permalink] New post   29 Nov 2020, 10:48
Bunuel wrote:
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

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

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)
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can anyone explain this question?
Hope this helps you to some extent , in case of any specific doubts please qoute the same for detailed discussion...
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Re: If a and b are positive integers and a divided by b equals 35.24, whic [#permalink] New post   20 Mar 2022, 01:30
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