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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Concentration: Entrepreneurship, General Management

GPA: 3.49

When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

18 Nov 2013, 08:55

4

This post received KUDOS

6

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

44% (01:25) correct
56% (01:52) wrong based on 271 sessions

HideShow timer Statistics

When positive integer x is divided by 7 the quotient is q and the remainder is 1. What is the remainder when x is divided by 10?

(1) When x is divided by 5 the quotient is q and the remainder is 1 (2) x is less than 50

----------------------------- I got the correct answer but took quite a while. I listed out all the possible value of x and realize remainder when x is divided by 10 has to be 1. Any other faster method?

Re: When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

19 Nov 2013, 03:56

2

This post received KUDOS

from the ques stem we know- x= 7q + 1 from 1) x = 5q + 1 subtracting we get x =1. hence when we divide x i.e. 1 by 10 we get remainder 1. sufficient. stmt 2 is clearly insufficient. lots of possible values for x.

Concentration: Entrepreneurship, General Management

GPA: 3.49

Re: When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

19 Nov 2013, 08:29

zerosleep wrote:

from the ques stem we know- x= 7q + 1 from 1) x = 5q + 1 subtracting we get x =1. hence when we divide x i.e. 1 by 10 we get remainder 1. sufficient. stmt 2 is clearly insufficient. lots of possible values for x.

Re: When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

19 Nov 2013, 10:11

1

This post received KUDOS

zerosleep wrote:

from the ques stem we know- x= 7q + 1 from 1) x = 5q + 1 subtracting we get x =1. hence when we divide x i.e. 1 by 10 we get remainder 1. sufficient. stmt 2 is clearly insufficient. lots of possible values for x.

You don't get x=1 when you subract, you'd get 0=2q....also when you divide 1 by 10 the remainder is 10..

Re: When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

20 Nov 2013, 00:21

registerincog wrote:

When positive integer x is divided by 7 the quotient is q and the remainder is 1. What is the remainder when x is divided by 10?

(1) When x is divided by 5 the quotient is q and the remainder is 1 (2) x is less than 50

----------------------------- I got the correct answer but took quite a while. I listed out all the possible value of x and realize remainder when x is divided by 10 has to be 1. Any other faster method?

Re: When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

20 Nov 2013, 00:31

registerincog wrote:

When positive integer x is divided by 7 the quotient is q and the remainder is 1. What is the remainder when x is divided by 10?

(1) When x is divided by 5 the quotient is q and the remainder is 1 (2) x is less than 50

From the question stem, x =7q+1.

F.S 1 states that x = 5q+1. Thus, we know that 7q+1=5q+1 --> q=0.Note that q is also an integer. Thus, x=1.Remainder when 1 is divided by 10 is 1. Sufficient.

F.S 2 for x=8, remainder when divided by 10 is 8.However, when x=15,the remainder when x is divided by 10 is 5. 2 different numerical values, hence Insufficient.

Re: When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

20 Nov 2013, 06:08

AccipiterQ wrote:

zerosleep wrote:

from the ques stem we know- x= 7q + 1 from 1) x = 5q + 1 subtracting we get x =1. hence when we divide x i.e. 1 by 10 we get remainder 1. sufficient. stmt 2 is clearly insufficient. lots of possible values for x.

You don't get x=1 when you subract, you'd get 0=2q....also when you divide 1 by 10 the remainder is 10..

Hi,

I meant if you subtract these equations you get q =0. Now put q =0 in any equation and you will get x =1. Hence the no is 1. Now when you divide x (which is 1) by 10, you will get remainder 1. Sorry for the confusion.

Re: When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

20 Nov 2013, 06:10

registerincog wrote:

zerosleep wrote:

from the ques stem we know- x= 7q + 1 from 1) x = 5q + 1 subtracting we get x =1. hence when we divide x i.e. 1 by 10 we get remainder 1. sufficient. stmt 2 is clearly insufficient. lots of possible values for x.

What do you mean? Subtracting we get x = 1 ?

Hi, Full solution to avoid any confusion- x= 7q + 1 from 1) x = 5q + 1 Now subtracting these two equations yields q =0. Now put q=0 in any equation and you will get x=1. hence the no is 1. Now if we divide x (which is nothing but 1) we will remainder as 1.

Re: When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

21 May 2014, 05:02

1

This post received KUDOS

Hi, IMO C. Please correct me if I am wrong.

from stmt 1: x = 7q+1 and x=5q+1 which leads to .. x=35Q+36 as the general formula. hence multiple values of x will satisfy this. 36, 71, 106 .. you cannot say if the remainder will be 1 or 6.

from stmt2 x < 50 .. not sufficient.

from stmt1 and stmt 2 .. x can be only 36. Hence C.
_________________

from stmt 1: x = 7q+1 and x=5q+1 which leads to .. x=35Q+36 as the general formula. hence multiple values of x will satisfy this. 36, 71, 106 .. you cannot say if the remainder will be 1 or 6.

from stmt2 x < 50 .. not sufficient.

from stmt1 and stmt 2 .. x can be only 36. Hence C.

No, the correct answer is A.

When positive integer x is divided by 7 the quotient is q and the remainder is 1. What is the remainder when x is divided by 10?

When positive integer x is divided by 7 the quotient is q and the remainder is 1 --> x = 7q + 1 --> x could be 1, 8, 15, 22, ...

(1) When x is divided by 5 the quotient is q and the remainder is 1 --> x = 5q + 1 --> subtract this from the equation from the stem: 0 = 2q --> q = 0 --> x = 1. 1 divided by 10 gives the remainder of 1. Sufficient.

(2) x is less than 50 --> if x = 1, then the remainder upon division 1 by 10 is 1 but if x = 8, then the remainder upon division 8 by 10 is 8. Not sufficient.

Re: When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

08 Oct 2015, 08:03

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.
_________________

Re: When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

25 Oct 2016, 06:52

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.
_________________

Re: When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

02 Jul 2017, 10:03

3

This post received KUDOS

x= 7q + 1 from 1) x = 5q + 1 subtracting eqn 1 from given, we get x =1. hence when we divide x i.e. 1 by 10 we get remainder 1. Sufficient. stmt 2 is clearly insufficient. Hence, A

Re: When positive integer x is divided by 7 the quotient is q [#permalink]

Show Tags

08 Aug 2017, 21:26

Bunuel wrote:

seabhi wrote:

Hi, IMO C. Please correct me if I am wrong.

from stmt 1: x = 7q+1 and x=5q+1 which leads to .. x=35Q+36 as the general formula. hence multiple values of x will satisfy this. 36, 71, 106 .. you cannot say if the remainder will be 1 or 6.

from stmt2 x < 50 .. not sufficient.

from stmt1 and stmt 2 .. x can be only 36. Hence C.

No, the correct answer is A.

When positive integer x is divided by 7 the quotient is q and the remainder is 1. What is the remainder when x is divided by 10?

When positive integer x is divided by 7 the quotient is q and the remainder is 1 --> x = 7q + 1 --> x could be 1, 8, 15, 22, ...

(1) When x is divided by 5 the quotient is q and the remainder is 1 --> x = 5q + 1 --> subtract this from the equation from the stem: 0 = 2q --> q = 0 --> x = 1. 1 divided by 10 gives the remainder of 1. Sufficient.

(2) x is less than 50 --> if x = 1, then the remainder upon division 1 by 10 is 1 but if x = 8, then the remainder upon division 8 by 10 is 8. Not sufficient.

Answer: A.

Hope it helps.

Bunuel the method you mentioned in response to seabhi has been discussed above. i'm curious -- if he's wrong, how were his calculations incorrect? i built out the #s given from the formulas and got the same thing as him (see below):

Version 8.1 of the WordPress for Android app is now available, with some great enhancements to publishing: background media uploading. Adding images to a post or page? Now...

Post today is short and sweet for my MBA batchmates! We survived Foundations term, and tomorrow's the start of our Term 1! I'm sharing my pre-MBA notes...

“Keep your head down, and work hard. Don’t attract any attention. You should be grateful to be here.” Why do we keep quiet? Being an immigrant is a constant...