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# Numbers

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Joined: 26 May 2008
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Numbers [#permalink]  26 May 2008, 12:14

1.A number divided by 221 leaves a remainder 64.What is the remainder if the number is divided by 13.

a. 1 b.11 c.0 d.12

2.The sum of two nos is "S" and their quotient is "P/Q" .The Numbers are

a. ps/q, qs/q
b. s/p, s/q
c.s-p/q ,s-q/p
d.ps/p+q , qs/p+q

Last edited by Doubty on 26 May 2008, 12:25, edited 1 time in total.
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Re: Numbers [#permalink]  26 May 2008, 12:21
Remainder = 12

221 + 64 = 285

285/13 remainder is 12
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Re: Numbers [#permalink]  26 May 2008, 17:09
Doubty wrote:

2.The sum of two nos is "S" and their quotient is "P/Q" .The Numbers are

a. ps/q, qs/q
b. s/p, s/q
c.s-p/q ,s-q/p
d.ps/p+q , qs/p+q

Let us say X & Y are the two numbers. It is given that X+Y=S (Eqn 1) and X/Y = P/Q (Eqn 2).
From eqn1, Y=S-X; Substituting for the value of Y in equn 2, you should get X/(S-X) = P/Q .
Solving this you should get X=PS/(P+Q) & Y= QS/(P+Q), which is answer choice (D). Hope this helps.
Re: Numbers   [#permalink] 26 May 2008, 17:09
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