It is currently 17 Oct 2017, 01:21

### 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

# x^2 is divisible by both 40 and 75. If x has exactly three

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 2088
Followers: 29

Kudos [?]: 308 [0], given: 1256

x^2 is divisible by both 40 and 75. If x has exactly three [#permalink]  12 Aug 2017, 10:10
Expert's post
00:00

Difficulty:

5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

x^2 is divisible by both 40 and 75. If x has exactly three distinct prime factors, which of the following could be the value of x?

Indicate all values that apply.

❑ 30

❑ 60

❑ 200

❑ 240

❑ 420

[Reveal] Spoiler: OA
B, D

_________________
Senior Manager
Joined: 03 Sep 2017
Posts: 333
Followers: 0

Kudos [?]: 89 [0], given: 64

Re: x^2 is divisible by both 40 and 75. If x has exactly three [#permalink]  24 Sep 2017, 06:46
Probably there exist a faster way to solve this question. By the way, I used this one. In order to be a right answer, the square of X must be divisible for both 40 and 75 and X must have only three distinct prime factors.
Thus, I have checked for which of the numbers these two requirements are satisfied and they are for 60 and 240, thus answers B and D!
Manager
Joined: 20 Apr 2016
Posts: 202
Followers: 1

Kudos [?]: 118 [0], given: 52

Re: x^2 is divisible by both 40 and 75. If x has exactly three [#permalink]  24 Sep 2017, 14:06
Carcass wrote:
x^2 is divisible by both 40 and 75. If x has exactly three distinct prime factors, which of the following could be the value of x?

Indicate all values that apply.

❑ 30

❑ 60

❑ 200

❑ 240

❑ 420

[Reveal] Spoiler: OA
B, D

The factors of 40 = 2*2*2*5 and factors of 75 = 3*5*5

since x^2 is divisible by both 40 and 75

so x must have = 2^2*3*5 = 60. ( numerator should be the LCM of 40 and 75 ie 2^3*3*5^2)

So check the option which is divisible by 60

Only option B and option D satisfy the condition.
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Re: x^2 is divisible by both 40 and 75. If x has exactly three   [#permalink] 24 Sep 2017, 14:06
Display posts from previous: Sort by

# x^2 is divisible by both 40 and 75. If x has exactly three

 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®.