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

Redeem

MGMAT - Divisibility

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
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 » Fri Mar 18, 2011 12:51 am
diehard_gmat 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
Note that 3150 = 2 × 3 × 3 × 5 × 5 × 7, only 2 and 7 are not forming a pair, hence, to make this a perfect square the least integer required is [spoiler]2 × 7


E[/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
User avatar
Master | Next Rank: 500 Posts
Posts: 436
Joined: Tue Feb 08, 2011 3:07 am
Thanked: 72 times
Followed by:6 members

by manpsingh87 » Fri Mar 18, 2011 12:51 am
diehard_gmat 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= 2*5^2*3^2*7 therefore 3150y will become perfect square if y= 14 i.e. e
O Excellence... my search for you is on... you can be far.. but not beyond my reach!
Top
Post new topic Post Reply
• Page 1 of 1