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

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If a and b are positive integers and a divided by b equals 35.24, whic [#permalink]

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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
[Reveal] Spoiler: OA

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Re: If a and b are positive integers and a divided by b equals 35.24, whic [#permalink]

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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]

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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]

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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]

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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]

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24100=62524100=625

Remainder should be multiple of 6.

Answer B.
Re: If a and b are positive integers and a divided by b equals 35.24, whic   [#permalink] 08 Apr 2018, 07:04
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