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# Now let's try this one: Are integers P and Q both multiples

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Now let's try this one: Are integers P and Q both multiples [#permalink]

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29 May 2003, 03:17
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Now let's try this one:
Are integers P and Q both multiples of 3?

(1) PQ (a two-digit number) is a multiple of 9
(2) Q is a multiple of 3
Manager
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29 May 2003, 03:37
E again......what is the difference???
SVP
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29 May 2003, 03:55
I vote for C. Numbers that are OK are 36, 63, and 99.
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29 May 2003, 05:16
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29 May 2003, 09:05
i doubt C;

Conside the number P as 2 and Q as 9.

It fails for bothe condition 1 and condition 2.

???
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29 May 2003, 13:17
I vote for C as well

evensflow, P cannot equal 2 and Q cannot equal to 9 by the first condition. PQ has to be a multiple of 9, therefore (P+Q) must be a multiple of 9.

so numbers can be 18, 27, 36, 45, etc

by (2), Q is either 3 or 6 or 9, so using (1), P must be 6 or 3 or 9

..need both conditions
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