NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 13:40 It is currently 26 Apr 2024, 13:40
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If p and q are positive integers, p/9 is an integer and q/8 is an inte

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619229 [3]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
If p and q are positive integers, p/9 is an integer and q/8 is an inte [#permalink] New post   25 Apr 2016, 03:59
1
Kudos
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

66% (01:40) correct 34% (01:36) wrong based on 67 sessions
Hide Show timer Statistics
If p and q are positive integers, p/9 is an integer and q/8 is an integer, is pq/360 an integer?

(1) p/12 is an integer.
(2) q/25 is an integer.
ShowHide Answer
Official Answer
B
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11181
Own Kudos [?]: 31966 [1]
Given Kudos: 291
Send PM
Reviews Badge
Re: If p and q are positive integers, p/9 is an integer and q/8 is an inte [#permalink] New post   25 Apr 2016, 07:42
1
Kudos
Expert Reply
Bunuel wrote:
If p and q are positive integers, p/9 is an integer and q/8 is an integer, is pq/360 an integer?

(1) p/12 is an integer.
(2) q/25 is an integer.


hi
if p/9 is an integer , p is a multiple of 9
and if q/8 is an integer, q is a multiple of 8..

so pq will be multiple of 9*8=72..
Q is - IS pq/360 an integer...
since pq is a multiple of 72 say pq= 72x, where x is an integer..

so Q becomes IS 72x/360 is an integer or is x or pq a multiple of 360/72= 5..

lets see the staements-
(1) p/12 is an integer.
nothing about pq being multiple of 5..
Insuff

(2) q/25 is an integer.
q is a multiple of 25 so pq will also be multiple of 25..
Suff

B
lets see the statements..
User avatar
P
LeoN88
BSchool Moderator
Joined: 08 Dec 2013
Posts: 686
Own Kudos [?]: 516 [0]
Given Kudos: 227
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB '23
GMAT 1: 630 Q47 V30
WE:Operations (Non-Profit and Government)
Send PM
Reviews Badge
Re: If p and q are positive integers, p/9 is an integer and q/8 is an inte [#permalink] New post   17 Feb 2020, 08:14
Bunuel wrote:
If p and q are positive integers, p/9 is an integer and q/8 is an integer, is pq/360 an integer?

(1) p/12 is an integer.
(2) q/25 is an integer.


So, given 360=3^2 * 2^3 * 5

p has highest power of 3 as 9....i
q has highest power of 2 as 8....ii

#1. p*q might or might not have power of 5. Insufficient

#2. q is definitely divided by 5 and from i and ii we can easily see that p is divisible by 3^2 and q is divisible by 8. B
GMAT Club Bot
gmatclubot
Re: If p and q are positive integers, p/9 is an integer and q/8 is an inte [#permalink]
17 Feb 2020, 08:14
Moderator:
Bunuel
Math Expert
92948 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions