Last visit was: 23 Apr 2026, 01:48 It is currently 23 Apr 2026, 01:48
Home
Messages
Tests
Schools
Events
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
avatar
stolyar
avatar
Joined: 03 Feb 2003
Last visit: 06 May 2014
Posts: 1,012
Own Kudos:
1,883
Posts: 1,012
Kudos: 1,883
Q is a certain positive integer. If Q is divided by 5, then 05 Mar 2003, 05:03
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Q is a certain positive integer.

If Q is divided by 5, then the remainder is 3
If Q is divided by 7, then the remainder is 5

What is Q?

:stupid2



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
Hakob
User avatar
Consultant
Joined: 03 Feb 2003
Last visit: 28 Jul 2010
Posts: 3
Location: Moscow, Russia
Posts: 3
Kudos: 0
Q is a certain positive integer. If Q is divided by 5, then 05 Mar 2003, 05:48
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is this a DS problem????
avatar
stolyar
avatar
Joined: 03 Feb 2003
Last visit: 06 May 2014
Posts: 1,012
Own Kudos:
1,883
Posts: 1,012
Kudos: 1,883
Q is a certain positive integer. If Q is divided by 5, then 05 Mar 2003, 05:54
Kudos
Add Kudos
Bookmarks
Bookmark this Post
simple problem solving
avatar
sac22
avatar
Joined: 15 Feb 2003
Last visit: 07 May 2003
Posts: 2
Posts: 2
Kudos: 0
Q is a certain positive integer. If Q is divided by 5, then 05 Mar 2003, 09:56
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Q = 68 :lol:
avatar
ashish_madan
avatar
Joined: 07 Feb 2003
Last visit: 07 Mar 2003
Posts: 1
Location: india
Posts: 1
Kudos: 0
Q is a certain positive integer. If Q is divided by 5, then 05 Mar 2003, 10:20
Kudos
Add Kudos
Bookmarks
Bookmark this Post
the answer is 33 not 68 boss!

sac22 is not quite at it better luck next time
User avatar
bb
User avatar
Founder
Joined: 04 Dec 2002
Last visit: 22 Apr 2026
Posts: 43,154
Own Kudos:
83,712
Given Kudos: 24,677
Location: United States
GMAT 1: 750 Q49 V42
GPA: 3
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
GMAT 1: 750 Q49 V42
Posts: 43,154
Kudos: 83,712
Q is a certain positive integer. If Q is divided by 5, then 05 Mar 2003, 11:08
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ashish_madan
the answer is 33 not 68 boss!

sac22 is not quite at it better luck next time
Show more



Well, both 68 and 33 work.

There is no mentioning that Q is the smallest possible number.....
avatar
stolyar
avatar
Joined: 03 Feb 2003
Last visit: 06 May 2014
Posts: 1,012
Own Kudos:
1,883
Posts: 1,012
Kudos: 1,883
Q is a certain positive integer. If Q is divided by 5, then 05 Mar 2003, 23:20
Kudos
Add Kudos
Bookmarks
Bookmark this Post
forgive me guys, I meant 33 - the smallest Q
avatar
stolyar
avatar
Joined: 03 Feb 2003
Last visit: 06 May 2014
Posts: 1,012
Own Kudos:
1,883
Posts: 1,012
Kudos: 1,883
Q is a certain positive integer. If Q is divided by 5, then 10 Jun 2003, 03:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
My approach:

Q=5X+3
Q=7Y+5

Let us add 2:

Q+2=5X+5=5(X+1)
Q+2=7Y+7=7(Y+1)

Thus, Q+2 is evenly divisible both by 5 and by 7. Thus, since we need the smallest Q, we need to do Q=LCM (5, 7)–2=35–2=33.
User avatar
hallelujah1234
User avatar
Joined: 02 Mar 2004
Last visit: 29 Jan 2023
Posts: 191
Own Kudos:
14
Location: There
Posts: 191
Kudos: 14
Q is a certain positive integer. If Q is divided by 5, then 25 Mar 2004, 01:11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
stolyar
Q is a certain positive integer.

If Q is divided by 5, then the remainder is 3
If Q is divided by 7, then the remainder is 5

What is Q?

:stupid2
Show more


from the first, Q = 5k+3
from the second, 5k+3 = 5 (7)

5(k-1) = 4 (7)

k-1 = 5 (mod 7)
k = 6 (7)

Q = 5(7m+6) +3 = 35m+33 = 35n -2 where n is an integer



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!