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# Arithmetic - Operations on rational numbers

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Manager
Joined: 05 May 2005
Posts: 77

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Arithmetic - Operations on rational numbers [#permalink]

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18 Jan 2007, 00:05
How would you solve?

If s and t positive integers such that s/t = 64.12, which of the following could be the remainder when s is dvided by t?

a. 2
b. 4
c. 8
d. 20
e. 45

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Intern
Joined: 17 Dec 2006
Posts: 22

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Re: Arithmetic - Operations on rational numbers [#permalink]

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18 Jan 2007, 14:32
above720 wrote:
How would you solve?

If s and t positive integers such that s/t = 64.12, which of the following could be the remainder when s is dvided by t?

a. 2
b. 4
c. 8
d. 20
e. 45

Pretty old question.

Ok so we know that s/t = 64.12 => s/t = 64 + 0.12

So basically whatever was the remainder [lets say x]: x/t = 0.12 => x = 0.12t.

Now x has to be an integer less than t such that 0.12t is an integer.

Lets take each value one by one
x=2 => t = 2/0.12 ... t is not an integer
...
x=45 => t= 45/0.12 ... integer [Only possible]

So E

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Intern
Joined: 17 Nov 2012
Posts: 2

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Re: Arithmetic - Operations on rational numbers [#permalink]

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17 Nov 2012, 08:10
It is simple. the answer is E. 45

cos' all are even numbers including 64.12 and given answers except 45.
cos reminder is something that it can't be divided anymore.

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Re: Arithmetic - Operations on rational numbers   [#permalink] 17 Nov 2012, 08:10
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