Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 03 Jul 2015, 19:39

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If Y is the smallest positive integer such that 3150

Author Message
TAGS:
Intern
Joined: 11 May 2004
Posts: 46
Location: USA
Followers: 0

Kudos [?]: 4 [0], given: 0

If Y is the smallest positive integer such that 3150 [#permalink]  14 Jun 2006, 18:26
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: 946
Location: France
Followers: 1

Kudos [?]: 10 [0], given: 0

Re: GMAT MATH SET 15 P 25 [#permalink]  14 Jun 2006, 18:53
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
_________________

I believe its yogurt!

SVP
Joined: 30 Mar 2006
Posts: 1737
Followers: 1

Kudos [?]: 46 [0], given: 0

Ans 14

3150 * 14 = 441 * 100
= 21* 21 * 10 * 10
Director
Joined: 06 May 2006
Posts: 780
Followers: 3

Kudos [?]: 17 [0], given: 0

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: 5068
Location: Singapore
Followers: 23

Kudos [?]: 194 [0], given: 0

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
Followers: 1

Kudos [?]: 3 [0], given: 0

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: 2910
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 19

Kudos [?]: 132 [0], given: 0

E.

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

To make it a perfect square we need 7*2 i.e 14
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Similar topics Replies Last post
Similar
Topics:
1 If y is the smallest positive integer such that 3,150 3 23 Nov 2008, 07:21
1 If y is the smallest positive integer such that 3,150 2 06 Oct 2008, 12:48
If y is the smallest positive integer such that 3150 3 09 May 2008, 03:54
What is ths smallest positive integer n for which 324 is a 2 26 May 2006, 05:42
If y is the smallest positive integer such that 3,150 13 08 Dec 2005, 16:28
Display posts from previous: Sort by