Last visit was: 06 Oct 2024, 00:38 It is currently 06 Oct 2024, 00:38
Decision Tracker
My Rewards
Unanswered
Active Topics
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

When positive integer x is divided by 5, the quotient is q and the rem

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6797
Own Kudos [?]: 31552 [17]
Given Kudos: 799
Location: Canada
Send PM
When positive integer x is divided by 5, the quotient is q and the rem [#permalink] When positive integer x is divided by 5, the quotient is q and the rem   31 Oct 2016, 07:58
1
Kudos
16
Bookmarks
Expert Reply
Top Contributor
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

72% (01:51) correct 28% (02:04) wrong based on 263 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS
When positive integer x is divided by 5, the quotient is q and the remainder is 1. When x is divided by 7, the quotient is k and the remainder is 1. What is the remainder when q is divided by 7?

A) 0
B) 1
C) 2
D) 3
E) 4

*Kudos for all correct solutions

Show Spoiler
Here's our video solution: https://www.gmatprepnow.com/module/gmat ... /video/856

RELATED VIDEO
ShowHide Answer
Official Answer
A
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6037
Own Kudos [?]: 4858 [3]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: When positive integer x is divided by 5, the quotient is q and the rem [#permalink] When positive integer x is divided by 5, the quotient is q and the rem   31 Oct 2016, 08:04
1
Kudos
2
Bookmarks
GMATPrepNow
When positive integer x is divided by 5, the quotient is q and the remainder is 1. When x is divided by 7, the quotient is k and the remainder is 1. What is the remainder when q is divided by 7?

A) 0
B) 1
C) 2
D) 3
E) 4

x = 5q + 1

x = 7k + 1

Think of a number which when divided by both 5 & 7 leaves a remainder of 1

Trick : Do LCM of 5 & 7 and add 1 to it...

x = 36

So, x = 5q + 1

Or, 36 = 5*7 + 1

7/7 will leave remainder of 0

Hence correct answer will be (A) 0
User avatar
B
acegmat123
Joined: 28 Jun 2016
Posts: 153
Own Kudos [?]: 197 [1]
Given Kudos: 99
Location: Canada
Concentration: Operations, Entrepreneurship
Send PM
Re: When positive integer x is divided by 5, the quotient is q and the rem [#permalink] When positive integer x is divided by 5, the quotient is q and the rem   31 Oct 2016, 08:29
1
Kudos
1,6,11,16,21,26,31,36

1,8,15,22,29,36


So x=35z+1

When x is divided by 5, then q will always be a multiple of 7.

So the reminder when q is divided by 7 will always be 0.

A


Sent from my iPhone using GMAT Club Forum mobile app
User avatar
damybox
Joined: 18 Sep 2016
Posts: 37
Own Kudos [?]: 39 [2]
Given Kudos: 97
Send PM
Re: When positive integer x is divided by 5, the quotient is q and the rem [#permalink] When positive integer x is divided by 5, the quotient is q and the rem   31 Oct 2016, 11:51
1
Kudos
1
Bookmarks
GMATPrepNow
When positive integer x is divided by 5, the quotient is q and the remainder is 1. When x is divided by 7, the quotient is k and the remainder is 1. What is the remainder when q is divided by 7?

A) 0
B) 1
C) 2
D) 3
E) 4

*Kudos for all correct solutions


we know that x=5q+1 and x=7k+1

in other words, x is a multiple of 5 and 7 +1 for example 35 or 70 or 105 .....
in each case q is a multiple of 7 ====>7 or 14 or 21....

therefore \(\frac{q}{7}\) is equal to an integer. (remainder=0)

answer A
User avatar
P
gracie
Joined: 07 Dec 2014
Posts: 1056
Own Kudos [?]: 1674 [1]
Given Kudos: 27
Send PM
When positive integer x is divided by 5, the quotient is q and the rem [#permalink] When positive integer x is divided by 5, the quotient is q and the rem   31 Oct 2016, 13:42
1
Kudos
When positive integer x is divided by 5, the quotient is q and the remainder is 1. When x is divided by 7, the quotient is k and the remainder is 1. What is the remainder when q is divided by 7?

A) 0
B) 1
C) 2
D) 3
E) 4

x=1+5*7=36
q=7
7/7 gives a remainder of 0
A
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11496
Own Kudos [?]: 36602 [2]
Given Kudos: 333
Send PM
Reviews Badge
Re: When positive integer x is divided by 5, the quotient is q and the rem [#permalink] When positive integer x is divided by 5, the quotient is q and the rem   31 Oct 2016, 19:08
2
Kudos
Expert Reply
GMATPrepNow
When positive integer x is divided by 5, the quotient is q and the remainder is 1. When x is divided by 7, the quotient is k and the remainder is 1. What is the remainder when q is divided by 7?

A) 0
B) 1
C) 2
D) 3
E) 4

*Kudos for all correct solutions

Show Spoiler
Here's our video solution: https://www.gmatprepnow.com/module/gmat ... /video/856

RELATED VIDEO

Hi,
We get two equations..
1) x=5q+1
2) x=7k+1...

This means 5q+1=7k+1......
Or 5q=7k..
This tells us that q is multiple of 7 and k is multiple of 5..
SO if you divide q by 7 or k by 5, remainder will be 0

A
User avatar
P
gracie
Joined: 07 Dec 2014
Posts: 1056
Own Kudos [?]: 1674 [0]
Given Kudos: 27
Send PM
When positive integer x is divided by 5, the quotient is q and the rem [#permalink] When positive integer x is divided by 5, the quotient is q and the rem   11 Jan 2020, 21:16
GMATPrepNow
When positive integer x is divided by 5, the quotient is q and the remainder is 1. When x is divided by 7, the quotient is k and the remainder is 1. What is the remainder when q is divided by 7?

A) 0
B) 1
C) 2
D) 3
E) 4

least value of x=1
q=0
0/7 leaves remainder of 0
A
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 35128
Own Kudos [?]: 890 [0]
Given Kudos: 0
Send PM
Re: When positive integer x is divided by 5, the quotient is q and the rem [#permalink] When positive integer x is divided by 5, the quotient is q and the rem   09 May 2024, 09:59
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.
GMAT Club Bot
gmatclubot
Re: When positive integer x is divided by 5, the quotient is q and the rem [#permalink]
09 May 2024, 09:59
Moderator:
Bunuel
Math Expert
95941 posts