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

 It is currently 22 Jan 2019, 15:02

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
• ### Key Strategies to Master GMAT SC

January 26, 2019

January 26, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# If x is an integer with n distinct prime factors, is n greater than or

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52390
If x is an integer with n distinct prime factors, is n greater than or  [#permalink]

### Show Tags

13 Dec 2015, 04:37
1
8
00:00

Difficulty:

45% (medium)

Question Stats:

61% (01:27) correct 39% (01:30) wrong based on 184 sessions

### HideShow timer Statistics

If x is an integer with n distinct prime factors, is n greater than or equal to 3?

(1) x is divisible by 6.
(2) x is divisible by 10.

_________________
Intern
Joined: 06 Oct 2013
Posts: 45
If x is an integer with n distinct prime factors, is n greater than or  [#permalink]

### Show Tags

14 Dec 2015, 04:54
1
Bunuel wrote:
If x is an integer with n distinct prime factors, is n greater than or equal to 3?

(1) x is divisible by 6.
(2) x is divisible by 10.

Solution:

statement 1) x is divisible by 6.

x=6--> prime factors 2 and 3. n=2<3. NO

x=30-->prime factors 2,3 and 5. n=3=3.YES

x=210-->prime factors 2,3,5 and 7. n=4>3 YES.

Hence Not sufficient.

statement 2) x is divisible by 10.

x=10-->prime factors 2 and 5. n=2<3. NO

x=30-->prime factors 2,3 and 5. n=3=3 YES

x=210-->prime factors 2,3,5 and 7. n=4>3 YES

Hence Insufficient.

statement 1) and statement 2) together.

LCM of 10 and 6 is 30.

x=30--> prime factors are 2,3 and 5. n=3=3 YES.

x=210-->prime factors are 2,3,5,and 7. n=4>3 YES.

$$Always , n>=3$$

Hence together Sufficient.

ANS C.
Intern
Joined: 31 Dec 2014
Posts: 4
Re: If x is an integer with n distinct prime factors, is n greater than or  [#permalink]

### Show Tags

07 Jun 2018, 09:38
Given, x is an integer and x has distinct prime factors.
so x = p1^a * p2^b * pn^z
Q is n>=3

(i)x is div by 6
6 = 2*3; x=2^a * 3^b * ..pn^z
X can have 2 or more than 2 prime factors.
Not sufficient

(ii)x is div. by 10
10 = 2*5; x=2^a * 5^b * ..pn^z
X can have 2 or more than 2 prime factors.
Not sufficient

(i)+(ii)
x = 2^a * 3^b * 5^c * ..pn^z
X definitely has 3 or more than 3 different prime factors.
Re: If x is an integer with n distinct prime factors, is n greater than or &nbs [#permalink] 07 Jun 2018, 09:38
Display posts from previous: Sort by

# If x is an integer with n distinct prime factors, is n greater than or

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.