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

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Math Expert
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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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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
[Reveal] Spoiler: OA

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Joined: 13 Oct 2016
Posts: 367
GPA: 3.98
Re: If a and b are positive integers and a divided by b equals 35.24, whic [#permalink]

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08 Dec 2016, 14:04
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$$\frac{24}{100} = \frac{6}{25}$$

Remainder should be multiple of 6.

Manager
Joined: 18 Oct 2016
Posts: 139
Location: India
WE: Engineering (Energy and Utilities)
Re: If a and b are positive integers and a divided by b equals 35.24, whic [#permalink]

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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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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]

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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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Joined: 02 Oct 2016
Posts: 25
Re: If a and b are positive integers and a divided by b equals 35.24, whic [#permalink]

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08 Apr 2018, 07:04
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24100=62524100=625

Remainder should be multiple of 6.

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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