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.

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:

Join a free live webinar and find out which skills will get you to the top, and what you can do to develop them. Save your spot today! Tuesday, July 16th at 3 pm PST

The Competition Continues - Game of Timers is a team-based competition based on solving GMAT questions to win epic prizes! Starting July 1st, compete to win prep materials while studying for GMAT! Registration is Open! Ends July 26th

Re: If r is the remainder when integer n is divided by 7, what is the valu
[#permalink]

Show Tags

27 Oct 2014, 09:36

2

3

Bunuel wrote:

Tough and Tricky questions: Remainders.

If r is the remainder when integer n is divided by 7, what is the value of r?

(1) When n is divided by 21, the remainder is an odd number (2) When n is divided by 28, the remainder is 3

solution: From #1, if n = 5, remainder is 5 and is odd. if n = 7, remainder is 7 and is odd. However, remainder when n(5 or 7) is divided by 7 is different. Hence not sufficient From #2, n=3, or 31, or 59 etc, remainder is 3, Even when the above numbers are divided by 7, the remainder is still 3

Re: If r is the remainder when integer n is divided by 7, what is the valu
[#permalink]

Show Tags

04 Sep 2015, 07:10

we are given n/7 = k + r (where "k" in an integer)

Stmt 1: n/21 = m + o (where "m" is an integer and "o" is odd remainder) => n = 21m +21o => n/7 = 3m + 3o (this does not gives a clear value for the remainder when n is divided by 7)

Stmt 2: n/28 = t + 3 (where "t" is an integer) => n = 28t + 28*3 => n/7 = 4t + 4*3 = 4t + 12 = (4t + 7) + 5 => the remainder when n id divided by 7 is 5 or r = 5

Since Stmt 2 is sufficient to get the answer, hence the answer would be B.

Re: If r is the remainder when integer n is divided by 7, what is the valu
[#permalink]

Show Tags

07 Aug 2016, 07:24

hunterdonald wrote:

Bunuel wrote:

Tough and Tricky questions: Remainders.

If r is the remainder when integer n is divided by 7, what is the value of r?

(1) When n is divided by 21, the remainder is an odd number (2) When n is divided by 28, the remainder is 3

solution: From #1, if n = 5, remainder is 5 and is odd. if n = 7, remainder is 7 and is odd. However, remainder when n(5 or 7) is divided by 7 is different. Hence not sufficient From #2, n=3, or 31, or 59 etc, remainder is 3, Even when the above numbers are divided by 7, the remainder is still 3

Re: If r is the remainder when integer n is divided by 7, what is the valu
[#permalink]

Show Tags

07 Aug 2016, 07:29

1

Amit0507 wrote:

hunterdonald wrote:

Bunuel wrote:

Tough and Tricky questions: Remainders.

If r is the remainder when integer n is divided by 7, what is the value of r?

(1) When n is divided by 21, the remainder is an odd number (2) When n is divided by 28, the remainder is 3

solution: From #1, if n = 5, remainder is 5 and is odd. if n = 7, remainder is 7 and is odd. However, remainder when n(5 or 7) is divided by 7 is different. Hence not sufficient From #2, n=3, or 31, or 59 etc, remainder is 3, Even when the above numbers are divided by 7, the remainder is still 3

Answer should be B

Can't n b 12 in the second case?

In the 2nd case, we have the equation of the form n=28k+3.

Put the value of k=0,1,2,3,etc.. you will get n =3,31,59,..etc.

Re: If r is the remainder when integer n is divided by 7, what is the valu
[#permalink]

Show Tags

20 Apr 2018, 07:36

Top Contributor

2

Bunuel wrote:

Tough and Tricky questions: Remainders.

If r is the remainder when integer n is divided by 7, what is the value of r?

(1) When n is divided by 21, the remainder is an odd number (2) When n is divided by 28, the remainder is 3

We can use a variety of divisibility rules to solve this, or we can list possible values of n based on the statements. The rule for listing possible values of n is as follows: If, when N is divided by D, the remainder is R, then the possible values of N include: R, R+D, R+2D, R+3D,. . .

Target question:What is the value of r?

Statement 1: When n is divided by 21, the remainder is an odd number. There are several possible values of n that satisfy this condition. Here are two: Case a: n = 1 (since 1 divided by 21 leaves remainder 1, which is odd). Here, r = 1 Case b: n = 3 (since 3 divided by 21 leaves remainder 3, which is odd). Here, r = 3 Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: When n is divided by 28, the remainder is 3 Possible values of n: 3, 31, 59, 87, . . . We can see that for all possible values of n, the remainder is always 3 when n is divided by 7 Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Re: If r is the remainder when integer n is divided by 7, what is the valu
[#permalink]

Show Tags

26 Jun 2018, 11:53

If r is the remainder when integer n is divided by 7, what is the value of r? 1). When n is divided by 21, the remainder is an odd number 2). When n is divided by 28, the remainder is 3

1) When n is divided by 21, the remainder is an odd number.

when n = 1 , r = 1 when n = 3 , r = 3 NOT SUFF.

2). When n is divided by 28, the remainder is 3 it could be n=3, 31, 59, 87, . . . the remainder is always 3 when n is divided by 7 2 is SUFF.
_________________

He gives power to the faint; and to them that have no might he increases strength. Isaiah 40:29

Re: If r is the remainder when integer n is divided by 7, what is the valu
[#permalink]

Show Tags

16 Jun 2019, 01:33

GMATPrepNow wrote:

Bunuel wrote:

Tough and Tricky questions: Remainders.

If r is the remainder when integer n is divided by 7, what is the value of r?

(1) When n is divided by 21, the remainder is an odd number (2) When n is divided by 28, the remainder is 3

We can use a variety of divisibility rules to solve this, or we can list possible values of n based on the statements. The rule for listing possible values of n is as follows: If, when N is divided by D, the remainder is R, then the possible values of N include: R, R+D, R+2D, R+3D,. . .

Target question:What is the value of r?

Statement 1: When n is divided by 21, the remainder is an odd number. There are several possible values of n that satisfy this condition. Here are two: Case a: n = 1 (since 1 divided by 21 leaves remainder 1, which is odd). Here, r = 1 Case b: n = 3 (since 3 divided by 21 leaves remainder 3, which is odd). Here, r = 3 Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: When n is divided by 28, the remainder is 3 Possible values of n: 3, 31, 59, 87, . . . We can see that for all possible values of n, the remainder is always 3 when n is divided by 7 Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

RELATED VIDEO FROM OUR COURSE

how statement 2 is sufficient?

when 69/28 remainder is =3; when 69/7 remainder =6 when 87/28 r=3 ; when 87/7 r=3

Re: If r is the remainder when integer n is divided by 7, what is the valu
[#permalink]

Show Tags

16 Jun 2019, 10:50

SUNILAA wrote:

how statement 2 is sufficient?

when 69/28 remainder is =3; when 69/7 remainder =6 when 87/28 r=3 ; when 87/7 r=3

You do not get a remainder of 3 when you divide 69 by 28.

If Statement 2 is true, then n is 3 larger than a multiple of 28. But every multiple of 28 is a multiple of 7 too, so that means n is 3 larger than a multiple of 7. That's another way of saying "the remainder is 3 when you divide n by 7", so Statement 2 is sufficient.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com