BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

1575 × k is a perfect square

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

1575 × k is a perfect square

by sanju09 » Tue Sep 14, 2010 4:35 am
What is the smallest positive integer k such that the product 1575 × k is a perfect square?
(A) 7
(B) 9
(C) 15
(D) 25
(E) 63



[spoiler]Source: https://readyforgmat.com[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 1179
Joined: Sun Apr 11, 2010 9:07 pm
Location: Milpitas, CA
Thanked: 447 times
Followed by:88 members

by Rahul@gurome » Tue Sep 14, 2010 4:42 am
1575 = 3^2 * 5^2 * 7
So, if k = 7 (which is the smallest positive integer), then 1575 × 7 = 3^2 * 5^2 * 7^2, which will be a perfect square.

The correct answer is [spoiler](A)[/spoiler].
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Top
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Tue Sep 14, 2010 4:50 am
Rahul@gurome wrote:1575 = 3^2 * 5^2 * 7
So, if k = 7 (which is the smallest positive integer), then 1575 × 7 = 3^2 * 5^2 * 7^2, which will be a perfect square.

The correct answer is [spoiler](A)[/spoiler].
Good! Generally, on GMAT PS, the smallest hardly happens to be the smallest of all the choices, this question is just an EXCEPTION, isn't it, Rahul?
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 1179
Joined: Sun Apr 11, 2010 9:07 pm
Location: Milpitas, CA
Thanked: 447 times
Followed by:88 members

by Rahul@gurome » Tue Sep 14, 2010 4:54 am
sanju09 wrote: Good! Generally, on GMAT PS, the smallest hardly happens to be the smallest of all the choices, this question is just an EXCEPTION, isn't it, Rahul?
Right Sanju, I agree with you.
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Top
Post new topic Post Reply
• Page 1 of 1