 It is currently 26 Sep 2020, 12:12 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If y and n are +ve integers and 450y = n^3 which  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS: Active Member  Joined: 07 Jan 2018
Posts: 694
Followers: 11

Kudos [?]: 770  , given: 88

If y and n are +ve integers and 450y = n^3 which [#permalink]
2
KUDOS 00:00

Question Stats: 80% (01:06) correct 20% (03:41) wrong based on 10 sessions
If y and n are +ve integers and $$450y = n^3$$ which of the following must be an integer?

A)$$\frac{y}{3*2^2*5}$$

B)$$\frac{y}{3^2*2*5}$$

C)$$\frac{y}{3*2*5^2}$$

src:orbit test prep
[Reveal] Spoiler: OA GRE Forum Moderator
Joined: 17 May 2018
Posts: 30
Followers: 1

Kudos [?]: 16  , given: 26

Re: If y and n are +ve integers and 450y = n^3 which [#permalink]
1
KUDOS
We first have to predict Y in it's least possible form. Y must be such that after multiplication with 450 it becomes a cube. If we find the prime divisible of 450 we see that
450=3*3*5*5*2

So, to turn the product into a perfect square we need at least two more 2(s), one 3 and one 5. So the least desired value of
Y=3*5*2^(2)=60.
Thus, Y should be a multiple of at least 60 for n^(3) to be a perfect cube.

Now, when we insert the value of Y in the given options only option A pans out. The second option has an extra 3 in its denominator and the third option has an extra 5. So the correct answer is
Option A.

Regards,
Scrat
Intern Joined: 10 Aug 2018
Posts: 29
Followers: 1

Kudos [?]: 8 , given: 2

Re: If y and n are +ve integers and 450y = n^3 which [#permalink]
Nice Question. Re: If y and n are +ve integers and 450y = n^3 which   [#permalink] 31 Aug 2018, 21:11
Display posts from previous: Sort by

# If y and n are +ve integers and 450y = n^3 which  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.