Last visit was: 22 Jun 2025, 05:12 It is currently 22 Jun 2025, 05:12
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
KSBGC
Joined: 31 Oct 2013
Last visit: 10 Mar 2022
Posts: 1,255
Own Kudos:
1,393
 [7]
Given Kudos: 635
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
Posts: 1,255
Kudos: 1,393
 [7]
1
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 21 Jun 2025
Posts: 11,303
Own Kudos:
41,318
 [8]
Given Kudos: 333
Status:Math and DI Expert
Products:
Expert
Expert reply
Posts: 11,303
Kudos: 41,318
 [8]
5
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
General Discussion
User avatar
ocelot22
Joined: 16 Oct 2011
Last visit: 17 Jun 2025
Posts: 168
Own Kudos:
Given Kudos: 545
GMAT 1: 640 Q38 V40
GMAT 2: 650 Q44 V36
GMAT 3: 570 Q31 V38
GMAT 4: 720 Q49 V40
GPA: 3.75
Products:
GMAT 4: 720 Q49 V40
Posts: 168
Kudos: 129
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
CAMANISHPARMAR
Joined: 12 Feb 2015
Last visit: 13 Mar 2022
Posts: 1,025
Own Kudos:
2,347
 [2]
Given Kudos: 77
Posts: 1,025
Kudos: 2,347
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
selim
If p and q are both positive integers, then is p divisible by 9?

1) p/10 + q/10 is an integer.

2) p/9 + q/10 is an integer.

The property, when any positive integer is divided by 9, is the division leaves a non-terminating decimal except for multiple of 9, i.e.:-

Positive
Integer

1 Divided by 9 = 0.111111111
2 Divided by 9 = 0.222222222
3 Divided by 9 = 0.333333333
4 Divided by 9 = 0.444444444
5 Divided by 9 = 0.555555556
6 Divided by 9 = 0.666666667
7 Divided by 9 = 0.777777778
8 Divided by 9 = 0.888888889
9 Divided by 9 = 1
10 Divided by 9 = 1.111111111
11 Divided by 9 = 1.222222222
12 Divided by 9 = 1.333333333
13 Divided by 9 = 1.444444444
14 Divided by 9 = 1.555555556
15 Divided by 9 = 1.666666667
16 Divided by 9 = 1.777777778
17 Divided by 9 = 1.888888889
18 Divided by 9 = 2
19 Divided by 9 = 2.111111111

Since it is mentioned that both p and q are integers the only possibility is "p" is a multiple of 9 since "q" is also a positive integer.

Correct Ans B - Sufficient!! Straight and simple!!
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,248
Own Kudos:
Posts: 37,248
Kudos: 1,002
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Math Expert
102227 posts
425 posts