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# If Y is the smallest positive integer such that 3150

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Intern
Joined: 11 May 2004
Posts: 46
Location: USA
If Y is the smallest positive integer such that 3150 [#permalink]

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14 Jun 2006, 19:26
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If Y is the smallest positive integer such that 3150 mutlipled by Y is the square of an integer then Y must be?

A2
B5
C6
D7
E14

?????
Director
Joined: 16 Aug 2005
Posts: 938
Location: France
Re: GMAT MATH SET 15 P 25 [#permalink]

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14 Jun 2006, 19:53
GMATCUBS21 wrote:
If Y is the smallest positive integer such that 3150 mutlipled by Y is the square of an integer then Y must be?

A2
B5
C6
D7
E14

?????

3150 = 3x3 x 5x5 x 7 x 2
Hence Y = 7x2 = 14
E
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I believe its yogurt!

SVP
Joined: 30 Mar 2006
Posts: 1728

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15 Jun 2006, 00:07
Ans 14

3150 * 14 = 441 * 100
= 21* 21 * 10 * 10
Director
Joined: 06 May 2006
Posts: 791

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15 Jun 2006, 00:11
Factorize the number, and you'll find that only 2 and 7 are the non-squared factors. Answer E.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5043
Location: Singapore

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15 Jun 2006, 01:04
3150Y
= 315 * 10 * Y
= 63 * 5 * 2 * 5 * Y
= 2 * 3^2 * 5^2 * 7 * Y = m^2

Y must be 2*7 = 14
Manager
Joined: 10 May 2006
Posts: 186
Location: USA

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16 Jun 2006, 11:40
Yup, E..

Used the factoring technique.

3150 = 5*5*3*3*2*7

For this to be a perfect square, we need one more 2 and one more 7 = 14.
CEO
Joined: 20 Nov 2005
Posts: 2894
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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16 Jun 2006, 13:08
E.

3150 = 3*3*5*5*7*2

To make it a perfect square we need 7*2 i.e 14
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

16 Jun 2006, 13:08
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