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:
Want to score 90 percentile or higher on GMAT CR? Attend this free webinar to learn how to pre-think assumptions and solve the most challenging questions in less than 2 minutes.
Want to solve 700+ level Algebra questions within 2 minutes? Attend this free webinar to learn how to master the most challenging Inequalities and Absolute Values questions in GMAT
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
Re: If a positive integer m is divided by d, the remainder is 5. What is
[#permalink]
Show Tags
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.
If a positive integer m is divided by d, the remainder is 5. What is
[#permalink]
Show Tags
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
_________________
If a positive integer m is divided by d, the remainder is 5. What is
[#permalink]
Show Tags
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
gmatclubot
If a positive integer m is divided by d, the remainder is 5. What is
[#permalink]
12 Jan 2020, 09:22
close
26% (02:19) correct 
