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:
For positive integers a and b, the remainder when a is divided by b is
[#permalink]
Show Tags
29 Jul 2018, 23:21
1
32
00:00
A
B
C
D
E
Difficulty:
15% (low)
Question Stats:
81% (01:54) correct 19% (02:08) wrong based on 827 sessions
HideShow timer Statistics
For positive integers a and b, the remainder when a is divided by b is equal to the remainder when b is divided by a. Which of the following could be a value of ab ?
I. 24 II. 30 III. 36
A. II only B. III only C. I and II only D. II and III only E. I, II, and III
Re: For positive integers a and b, the remainder when a is divided by b is
[#permalink]
Show Tags
10 Aug 2018, 17:54
7
5
Bunuel wrote:
For positive integers a and b, the remainder when a is divided by b is equal to the remainder when b is divided by a. Which of the following could be a value of ab ?
I. 24 II. 30 III. 36
A. II only B. III only C. I and II only D. II and III only E. I, II, and III
The only way the remainder when a is divided by b is equal to the remainder when b is divided by a is a = b since then the remainder in both cases is 0. That is, if a = b, a/b = 1 R 0 and b/a = 1 R 0.
Since a = b, we see that ab must be a perfect square. So only III could be a value of ab.
For positive integers a and b, the remainder when a is divided by b is
[#permalink]
Show Tags
30 Jul 2018, 01:02
5
2
Bunuel wrote:
For positive integers a and b, the remainder when a is divided by b is equal to the remainder when b is divided by a. Which of the following could be a value of ab ?
I. 24 II. 30 III. 36
A. II only B. III only C. I and II only D. II and III only E. I, II, and III
NEW question from GMAT® Quantitative Review 2019
(PS01466)
In this question , both a and b has to be equal. If a is greater than b we will have reminder but when we are going to divide b by a we get fraction as a result. So , a and b are equal.
Re: For positive integers a and b, the remainder when a is divided by b is
[#permalink]
Show Tags
15 Apr 2019, 10:17
KSBGC wrote:
Bunuel wrote:
For positive integers a and b, the remainder when a is divided by b is equal to the remainder when b is divided by a. Which of the following could be a value of ab ?
I. 24 II. 30 III. 36
A. II only B. III only C. I and II only D. II and III only E. I, II, and III
NEW question from GMAT® Quantitative Review 2019
(PS01466)
In this question , both a and b has to be equal. If a is greater than b we will have reminder but when we are going to divide b by a we get fraction as a result. So , a and b are equal.
Only option III meets the condition.
36 = 6*6
a/b = 6/6 = 1 + 0
b / a = 6/6 = 1 +0
Match the condition stated in the question.
The best answer is B.
when b is divided by a , if b<a ,the result isn't a fraction but b!
Re: For positive integers a and b, the remainder when a is divided by b is
[#permalink]
Show Tags
29 Jun 2019, 07:50
samlovebar wrote:
KSBGC wrote:
Bunuel wrote:
For positive integers a and b, the remainder when a is divided by b is equal to the remainder when b is divided by a. Which of the following could be a value of ab ?
I. 24 II. 30 III. 36
A. II only B. III only C. I and II only D. II and III only E. I, II, and III
NEW question from GMAT® Quantitative Review 2019
(PS01466)
In this question , both a and b has to be equal. If a is greater than b we will have reminder but when we are going to divide b by a we get fraction as a result. So , a and b are equal.
Only option III meets the condition.
36 = 6*6
a/b = 6/6 = 1 + 0
b / a = 6/6 = 1 +0
Match the condition stated in the question.
The best answer is B.
when b is divided by a , if b<a ,the result isn't a fraction but b!
Read out the question properly. It is stated in the question that remainder is equal in both cases. Therefore a and b have to be equal.
Re: For positive integers a and b, the remainder when a is divided by b is
[#permalink]
Show Tags
22 Jul 2019, 23:24
if a = 2, and b =4, then there wouldn't be any remainders, so the book should have 1 and 3 only as a answer choice. 2/4 equals .5 with no remainder and 4/2 equals 2 with no remainder, so the remainders are the same.
Re: For positive integers a and b, the remainder when a is divided by b is
[#permalink]
Show Tags
23 Jul 2019, 22:02
ironsheep wrote:
if a = 2, and b =4, then there wouldn't be any remainders, so the book should have 1 and 3 only as a answer choice. 2/4 equals .5 with no remainder and 4/2 equals 2 with no remainder, so the remainders are the same.
2 divided by 4 gives the remainder of 2.
When divisor (4 in our case) is more than dividend (2 in our case) then the reminder equals to the dividend. For example: 3 divided by 24 yields a reminder of 3 --> \(3=0*24+3\); or: 5 divided by 6 yields a reminder of 5 --> \(5=0*6+5\), or example from your post: 2 divided by 5 yields a reminder of 2 --> \(2=0*5+2\).
close
81% (01:54) correct 
