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

 It is currently 20 Jun 2018, 15:57

### 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 positive integer x is a multiple of 6 and positive

Author Message
Manager
Joined: 06 May 2009
Posts: 69
If positive integer x is a multiple of 6 and positive [#permalink]

### Show Tags

08 Jul 2009, 04:43
2
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:11) correct 0% (00:00) wrong based on 38 sessions

### HideShow timer Statistics

If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?
(1) x is a multiple of 9.
(2) y is a multiple of 25.

Any trick how to solve these kind of questions?

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Director
Joined: 03 Jun 2009
Posts: 756
Location: New Delhi
WE 1: 5.5 yrs in IT

### Show Tags

08 Jul 2009, 05:08
Given x is a multiple of 6 and y is a multiple of 14
This means xy would be multiple of 42 (LCM of 6 and 14)

(1) x is a multiple of 9.
This means xy would be multiple of 126 (LCM of 6, 9, 14)
As 126 is not divisible by 105, we are not sure

(2) y is a multiple of 25.
This means xy would be multiple of 1050 (LCM of 6, 14, 25)
Hence xy divisible by 105

IMO B
_________________
Manager
Joined: 06 May 2009
Posts: 69

### Show Tags

08 Jul 2009, 05:18
ok thanks.
I dont know why I falter sometime on these type of questions.
Senior Manager
Joined: 04 Jun 2008
Posts: 279

### Show Tags

11 Jul 2009, 15:34
You don't need to think of LCM also,

Just consider the prime factors.

105 = 3*5*7

So if you know that xy has atleast 1 power each of 3,5, and 7, you can answer the ques

already x has 3 and y has 7 as factor, we only need to check for 5. Stmt 2 tells us that 5 will be there. so B
Retired Moderator
Joined: 05 Jul 2006
Posts: 1734

### Show Tags

12 Jul 2009, 08:29
1
[quote="ankur55"]If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?
(1) x is a multiple of 9.
(2) y is a multiple of 25.

x = 6m

y = 2*7*n

is 3*4*7*mn = 7*3*5z ie is 4mn = 5z , ie the question ask whether we can conclude if either of m or n has 5 as a factor??

from 1: m = 3b......insuff

from 2

n = 25k...............
Non-Human User
Joined: 09 Sep 2013
Posts: 7009
Re: If positive integer x is a multiple of 6 and positive [#permalink]

### Show Tags

16 Sep 2017, 01:16
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.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: If positive integer x is a multiple of 6 and positive   [#permalink] 16 Sep 2017, 01:16
Display posts from previous: Sort by