GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 19 Jan 2020, 15:14

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

If a positive integer m is divided by d, the remainder is 5. What is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60496
If a positive integer m is divided by d, the remainder is 5. What is  [#permalink]

Show Tags

New post 09 Dec 2019, 01:16
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

25% (02:27) correct 75% (02:31) wrong based on 56 sessions

HideShow timer Statistics

Most Helpful Expert Reply
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8343
If a positive integer m is divided by d, the remainder is 5. What is  [#permalink]

Show Tags

New post 10 Dec 2019, 03:48
Bunuel wrote:
If a positive integer m is divided by d, the remainder is 5. What is the value of d ?

(1) When \(\frac{m}{3}\) is divided by d, the remainder is 15.

(2) d > 20


Are You Up For the Challenge: 700 Level Questions


Okay, the solution would be

If a positive integer m is divided by d, the remainder is 5 MEANS m=dq+5

(1) When \(\frac{m}{3}\) is divided by d, the remainder is 15.
So, \(\frac{m}{3}=xd+15.....m=3xd+45\)
equating values of m....\(dq+5=3xd+45.......d(q-3x)=40\).
All of the variables are integers, so d and q-3x must be factors of 40, and should have their product as 40.
So, d can be any factor of 40 but greater than 15 as we know remainder in one case is 15..
Thus d can be 20 or 40

(2) d > 20
d could be anything

Combined
d cannot be 20, so d=40

C
_________________
General Discussion
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5694
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: If a positive integer m is divided by d, the remainder is 5. What is  [#permalink]

Show Tags

New post 09 Dec 2019, 04:00
giving a try
given
m=d*a+5
find d
#1
m/3= d*a+15
m=3da+45
da+5=3da+45
da= -20
insufficient
#2
d>20
insufficient
from 1 &2
da=-20
d=60 , a =-1/3 ; d= 80 ; a= -1/4
insufficient
IMO E


Bunuel wrote:
If a positive integer m is divided by d, the remainder is 5. What is the value of d ?

(1) When \(\frac{m}{3}\) is divided by d, the remainder is 15.

(2) d > 20


Are You Up For the Challenge: 700 Level Questions
Director
Director
User avatar
P
Joined: 09 Aug 2017
Posts: 675
Re: If a positive integer m is divided by d, the remainder is 5. What is  [#permalink]

Show Tags

New post 09 Dec 2019, 06:39
How da can be same for both the expressions.

m= da+5
m/3 = da+15

Could you explain this?

Archit3110 wrote:
giving a try
given
m=d*a+5
find d
#1
m/3= d*a+15
m=3da+45
da+5=3da+45
da= -20
insufficient
#2
d>20
insufficient
from 1 &2
da=-20
d=60 , a =-1/3 ; d= 80 ; a= -1/4
insufficient
IMO E


Bunuel wrote:
If a positive integer m is divided by d, the remainder is 5. What is the value of d ?

(1) When \(\frac{m}{3}\) is divided by d, the remainder is 15.

(2) d > 20


Are You Up For the Challenge: 700 Level Questions
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5694
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: If a positive integer m is divided by d, the remainder is 5. What is  [#permalink]

Show Tags

New post 09 Dec 2019, 07:15
gvij2017

Well i am not completely sure.of the solution.
I solved question considering a to be same..


gvij2017 wrote:
How da can be same for both the expressions.

m= da+5
m/3 = da+15

Could you explain this?

Archit3110 wrote:
giving a try
given
m=d*a+5
find d
#1
m/3= d*a+15
m=3da+45
da+5=3da+45
da= -20
insufficient
#2
d>20
insufficient
from 1 &2
da=-20
d=60 , a =-1/3 ; d= 80 ; a= -1/4
insufficient
IMO E


Bunuel wrote:
If a positive integer m is divided by d, the remainder is 5. What is the value of d ?

(1) When \(\frac{m}{3}\) is divided by d, the remainder is 15.

(2) d > 20


Are You Up For the Challenge: 700 Level Questions


Posted from my mobile device
Intern
Intern
avatar
B
Joined: 08 Dec 2019
Posts: 1
Re: If a positive integer m is divided by d, the remainder is 5. What is  [#permalink]

Show Tags

New post 09 Dec 2019, 08:09
IMHO, the question implicitly asks to solve a system of (max) 3 equations in 4 variables. Impossibile by definition.

Posted from my mobile device
Senior Manager
Senior Manager
avatar
G
Joined: 16 Feb 2015
Posts: 252
Location: United States
Concentration: Finance, Operations
Schools: INSEAD, ISB
If a positive integer m is divided by d, the remainder is 5. What is  [#permalink]

Show Tags

New post 10 Dec 2019, 03:27
Albymana wrote:
IMHO, the question implicitly asks to solve a system of (max) 3 equations in 4 variables. Impossibile by definition.

Posted from my mobile device


Albymana , Yes It's impossible to solve the Question.

Dear Bunuel , Please post OA As soon as possible.

Waiting for It!!!!!!!!!!!
Intern
Intern
avatar
B
Joined: 20 Apr 2019
Posts: 9
CAT Tests
Re: If a positive integer m is divided by d, the remainder is 5. What is  [#permalink]

Show Tags

New post 10 Dec 2019, 04:27
Unsure of my answer but here goes my reasoning.

Question statement analysis gives

m = kd + 5 where k is an integer greater than or equal to 0.
Since divisor is alway greater than the remainder, d > 5.


Statement 1 analysis: (m/3)/d = qd + 15

Dividing "m/3" by d is same as multiplying m/3 by 1/d.
Thus the statement tells us that "m" divided by "3d" gives a remainder of 15.
Again, since divisor is greater than the remainder, the above statement implies 3d>15 which means d>5.

We already knew this from the question statement analysis. Thus, statement 1 is insufficient.



Statement 2 analysis:

D>20

No info on m or d hence insufficient.


Combining statement 1 & 2 gives us no new information about either m or the range of d except that d>20. Thus we can deduce no concrete value of d.
Insufficient.

The answer is E
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8343
If a positive integer m is divided by d, the remainder is 5. What is  [#permalink]

Show Tags

New post 10 Dec 2019, 04:35
1
ronak1003 wrote:
Unsure of my answer but here goes my reasoning.

Question statement analysis gives

m = kd + 5 where k is an integer greater than or equal to 0.
Since divisor is alway greater than the remainder, d > 5.


Statement 1 analysis: (m/3)/d = qd + 15

Dividing "m/3" by d is same as multiplying m/3 by 1/d.
Thus the statement tells us that "m" divided by "3d" gives a remainder of 15.
Again, since divisor is greater than the remainder, the above statement implies 3d>15 which means d>5.


We already knew this from the question statement analysis. Thus, statement 1 is insufficient.



Statement 2 analysis:

D>20

No info on m or d hence insufficient.


Combining statement 1 & 2 gives us no new information about either m or the range of d except that d>20. Thus we can deduce no concrete value of d.
Insufficient.

The answer is E


You are wrong in the highlighted portion..
say m=45 and d=20..
45 divided by 20 gives 5 as remainder
Now 45/3 or 15 divided by 20 will give remainder as 15.
BUT m divided by 3d, that is 45 divided by 3*20 or 60 will give 45 as remainder.
so m/3 divided by d and m divided by 3d are different when you are checking the remainders
_________________
Senior Manager
Senior Manager
User avatar
P
Joined: 21 Jun 2017
Posts: 393
Location: India
Concentration: Finance, Economics
Schools: IIM
GMAT 1: 620 Q47 V30
GPA: 3
WE: Corporate Finance (Commercial Banking)
If a positive integer m is divided by d, the remainder is 5. What is  [#permalink]

Show Tags

New post 12 Jan 2020, 09:22
m/d = R(5 ) means d>5 and m = d.x + 5 , where x is any integer

1.
let m/3 be y
---> y = d.p + 15 where p is any integer . Also , note that d>15 otherwise we cant generate remainder of 15.
substitute from stem the value of m

---> dx + 5 = 3dp + 45
d = 40 / ( x- 3p )

Now lets find some values of d so that we can prove this statement insufficient.
x = 4 p = 1 so, d = 40
x = 5 p= 1 so, d = 20
Hence , insufficient
B--> insufficient

Combined

d = 40 only :)
Sufficient
GMAT Club Bot
If a positive integer m is divided by d, the remainder is 5. What is   [#permalink] 12 Jan 2020, 09:22
Display posts from previous: Sort by

If a positive integer m is divided by d, the remainder is 5. What is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne