It is currently 23 Nov 2017, 04:48

### 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 June
Open Detailed Calendar

# If M and N are positive integers,is MN/15an integer 1.THE L.C.M of M a

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

### Hide Tags

Manager
Joined: 17 May 2017
Posts: 147

Kudos [?]: 118 [0], given: 226

GPA: 3
If M and N are positive integers,is MN/15an integer 1.THE L.C.M of M a [#permalink]

### Show Tags

28 Oct 2017, 03:39
00:00

Difficulty:

65% (hard)

Question Stats:

44% (01:05) correct 56% (01:54) wrong based on 16 sessions

### HideShow timer Statistics

If M and N are positive integers, is (MN)/15 an integer

1.THE L.C.M of M and N is 80
2.The greatest common factor of M and N is 4
[Reveal] Spoiler: OA

Kudos [?]: 118 [0], given: 226

Director
Joined: 25 Feb 2013
Posts: 567

Kudos [?]: 257 [0], given: 35

Location: India
Schools: Mannheim"19 (S)
GPA: 3.82
If M and N are positive integers,is MN/15an integer 1.THE L.C.M of M a [#permalink]

### Show Tags

28 Oct 2017, 03:57
haardiksharma wrote:
If M and N are positive integers, is (MN)/15 an integer

1.THE L.C.M of M and N is 80
2.The greatest common factor of M and N is 4

For $$MN$$ to be divisible by $$15$$ between them they must have at least one $$3$$ & $$5$$ as a factor

Statement 1: implies that neither $$M$$ nor $$N$$ has $$3$$ as a factor. Hence $$MN$$ will not be an integer. Sufficient

Statement 2: this does not provide any information about all the factors of $$M$$ & $$N$$. Let $$M=12$$ and $$N=40$$, then HCF will be $$4$$ and $$MN$$ will be divisible by $$15$$

but if $$M=4$$ and $$N=8$$, then HCF will be $$4$$ but $$MN$$ will not be divisible by $$15$$. Hence Insufficient

Option A

Kudos [?]: 257 [0], given: 35

If M and N are positive integers,is MN/15an integer 1.THE L.C.M of M a   [#permalink] 28 Oct 2017, 03:57
Display posts from previous: Sort by

# If M and N are positive integers,is MN/15an integer 1.THE L.C.M of M a

 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®.