GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2019, 23:07

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

If n and x are positive integers, what is the least common multiple of

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58436
If n and x are positive integers, what is the least common multiple of  [#permalink]

Show Tags

28 Apr 2016, 03:33
00:00

Difficulty:

55% (hard)

Question Stats:

66% (01:59) correct 34% (02:04) wrong based on 163 sessions

HideShow timer Statistics

If n and x are positive integers, what is the least common multiple of 192 and 45n?

(1) n = 2^x
(2) n is a prime.

_________________
Manager
Joined: 01 Jul 2010
Posts: 58
Location: India
GMAT 1: 660 Q43 V38
GPA: 3.4
Re: If n and x are positive integers, what is the least common multiple of  [#permalink]

Show Tags

28 Apr 2016, 04:39
1
From the question stem we can infer
192 = 2^6*3
45n = 3^2*5*n

Stmnt 1
n=2^x
Depending upon the value of x the LCM (192,45n) can have different answers
Insufficient

Stmnt 2
n is prime so n can be 2,3,5,7 etc
Depending on the value of n LCM(192,45n) can have different answers
InSufficient

Stmnt 1 +2
This means that n can have only one value 2
So LCM (192,90) will be one single value
Sufficient

Ans C
Senior Manager
Joined: 06 Jul 2016
Posts: 358
Location: Singapore
Concentration: Strategy, Finance
Re: If n and x are positive integers, what is the least common multiple of  [#permalink]

Show Tags

20 Jul 2017, 12:46
Bunuel wrote:
If n and x are positive integers, what is the least common multiple of 192 and 45n?

(1) n = 2^x
(2) n is a prime.

We need to find the value of n.

1) n = $$2^x$$
n = 2, 4, 8,.... etc.
Insufficient.

2) n is prime
n = 2,3,5,7,... etc.
Insufficient.

1+2)
n = $$2^x$$ and n is prime
=> x = 1 and n = 2
LCM (192,90) = Some unique number.
Sufficient.

_________________
Put in the work, and that dream score is yours!
Non-Human User
Joined: 09 Sep 2013
Posts: 13321
Re: If n and x are positive integers, what is the least common multiple of  [#permalink]

Show Tags

30 Aug 2018, 06:29
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.
_________________
Re: If n and x are positive integers, what is the least common multiple of   [#permalink] 30 Aug 2018, 06:29
Display posts from previous: Sort by