It is currently 22 Jan 2018, 16:08

### 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 3,150 multip

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 30 Aug 2003
Posts: 318
Location: dallas , tx
If y is the smallest positive integer such that 3,150 multip [#permalink]

### Show Tags

18 Feb 2004, 22:48
6
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:03) correct 26% (01:16) wrong based on 279 sessions

### HideShow timer Statistics

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-y-is-the-smallest-positive-integer-such-that-65323.html
[Reveal] Spoiler: OA

_________________

shubhangi

Last edited by Bunuel on 23 Feb 2014, 16:31, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Intern
Joined: 25 Jan 2004
Posts: 28
Location: Redwood City, USA

### Show Tags

18 Feb 2004, 23:00
I go with E.

B and C are out because they are odd.
A and D do not work. Just do the multiplication and you can see that there is not square.
Manager
Joined: 26 Dec 2003
Posts: 227
Location: India

### Show Tags

19 Feb 2004, 04:57
3
KUDOS
E. 3150= 5*5*3*3*7*2, so we need one 7 and one 2 to make it a square of a number. so 7*2= 14
Non-Human User
Joined: 09 Sep 2013
Posts: 14171
Re: If y is the smallest Positive integer such that 3150 [#permalink]

### Show Tags

23 Feb 2014, 15:59
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 43361
Re: If y is the smallest positive integer such that 3,150 multip [#permalink]

### Show Tags

23 Feb 2014, 16:32
2
KUDOS
Expert's post
4
This post was
BOOKMARKED
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

$$3,150=2*3^2*5^2*7$$, now $$3,150*y$$ to be a perfect square $$y$$ must complete the odd powers of 2 and 7 to even number (perfect square has even powers of its primes), so the least value of $$y$$ is 2*7=14. In this case $$3,150y=(2*3^2*5^2*7)*(2*7)=(2*3*5*7)^2=perfect \ square$$.

Similar questions to practice:
if-m-and-n-are-positive-integer-and-1800m-n3-what-is-108985.html
property-of-integers-104272.html
if-x-and-y-are-positive-integers-and-180x-y-100413.html
number-properties-92562.html
og-quantitative-91750.html
division-factor-88388.html
if-5400mn-k4-where-m-n-and-k-are-positive-integers-109284.html

Hope it helps.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-y-is-the-smallest-positive-integer-such-that-65323.html
_________________
Director
Joined: 03 Aug 2012
Posts: 902
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Re: If y is the smallest positive integer such that 3,150 multip [#permalink]

### Show Tags

19 Apr 2014, 07:43
2
KUDOS
3150*y = A^2

3 * 1050 * y = A^2

3*5*210*y = A^2

3*5*7*3*2*5*y = A^2

2*3^2*5^2*7*y = A^2

Concept: The factors of squared integer should occur in pair. So, the only numbers left are 2*7

Hence 14
_________________

Rgds,
TGC!
_____________________________________________________________________
I Assisted You => KUDOS Please
_____________________________________________________________________________

Re: If y is the smallest positive integer such that 3,150 multip   [#permalink] 19 Apr 2014, 07:43
Display posts from previous: Sort by