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# PS multiples

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Manager
Joined: 12 Oct 2008
Posts: 98

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28 Dec 2008, 16:03
1
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Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (03:47) wrong based on 1 sessions

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If y is the smallest positive integer such that 3,150 multiplied by y is the square of an
integer, then y must be
A. 2
B. 5
C. 6
D. 7
E. 14

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VP
Joined: 05 Jul 2008
Posts: 1328
Re: PS multiples  [#permalink]

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28 Dec 2008, 16:07
Start with the last one to save time

3150 X 14 = 44100 = 441 X 100

If we apply the sqrt it is 21 X 10
SVP
Joined: 29 Aug 2007
Posts: 2419
Re: PS multiples  [#permalink]

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28 Dec 2008, 19:32
linau1982 wrote:
If y is the smallest positive integer such that 3,150 multiplied by y is the square of an
integer, then y must be

A. 2
B. 5
C. 6
D. 7
E. 14

3150 = 2x3x3x5x5x7
3 and 5 have pairs but not 2 and 7. so need 2x7 = 14
so, 3150x2x7 = 2x2x3x3x5x5x7x7 = (2x3x5x7)^2 = (210)^2

So it is D.
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Manager
Joined: 27 May 2008
Posts: 192
Re: PS multiples  [#permalink]

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28 Dec 2008, 21:17
Clean approach GMAT TIGER +1 for you
VP
Joined: 28 Dec 2005
Posts: 1477
Re: PS multiples  [#permalink]

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30 Dec 2008, 12:23
I get the breaking into primes part, but as we see both 2 and 7 need an additional pair of 2's and 7's ... shouldnt the answer then be 14 and not 7 ?

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

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

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: PS multiples &nbs [#permalink] 30 Dec 2008, 12:23
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# PS multiples

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