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

 It is currently 22 Apr 2019, 05:37

### 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
Your Progress

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=2^4*3*5, how many factors of n are greater than or equal to 8 and

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 54434
If n=2^4*3*5, how many factors of n are greater than or equal to 8 and  [#permalink]

### Show Tags

09 Aug 2017, 01:33
2
2
00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:23) correct 33% (02:11) wrong based on 87 sessions

### HideShow timer Statistics

If $$n=2^4*3*5$$, how many factors of n are greater than or equal to 8 and less than or equal to 30?

(A) 8
(B) 9
(C) 10
(D) 12
(E) 15

_________________
Retired Moderator
Joined: 25 Feb 2013
Posts: 1215
Location: India
GPA: 3.82
If n=2^4*3*5, how many factors of n are greater than or equal to 8 and  [#permalink]

### Show Tags

09 Aug 2017, 01:50
1
Bunuel wrote:
If $$n=2^4*3*5$$, how many factors of n are greater than or equal to 8 and less than or equal to 30?

(A) 8
(B) 9
(C) 10
(D) 12
(E) 15

Total number of factors of $$n = 5*2*2 = 20$$
No of factors less than 8 are {1,2,3,4,5,6} = 6
No of factors greater than 30 are {$$2^4*3$$, $$2^3*5$$, $$2^4*5$$, $$3*5*2^2$$, $$3*5*2^3$$, $$3*5*2^4$$} = 6

Hence total number of factors between 8 & 30 (both inclusive) = 20-6-6 = 8

Option A
If n=2^4*3*5, how many factors of n are greater than or equal to 8 and   [#permalink] 09 Aug 2017, 01:50
Display posts from previous: Sort by

# If n=2^4*3*5, how many factors of n are greater than or equal to 8 and

 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®.