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# If positive integer x is a multiple of 6 and positive

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VP
Joined: 21 Jul 2006
Posts: 1455
If positive integer x is a multiple of 6 and positive [#permalink]

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18 Nov 2008, 06:53
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If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?

(1) x is a multiple of 9

(2) y is a multiple of 25

Would you please show me the algebraic way of approaching this? I would prefer the algebraic way to listing and testing different numbers.

Thanks!

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Intern
Joined: 03 Oct 2008
Posts: 17

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18 Nov 2008, 07:23
is B the ans..

st 1.x is a multiple of 9..
but v cannot find whether it is a multiple of 105.

st 2. y is a multiple of 25.
correct.
Manager
Joined: 08 Aug 2008
Posts: 226

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18 Nov 2008, 12:09
105 has 3,5,7 as the prime factors.

so we need xy to be divisible by all 3,5 and 7.

only B satisfies.

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: DS: multiples   [#permalink] 18 Nov 2008, 12:09
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