GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If a and b are positive integers such that a/b = 82.024, which of the
[#permalink]
09 Jan 2021, 08:44
09 Jan 2021, 08:44
1
Expert Reply
5
Bookmarks
00:00
Question Stats:
93% (01:43) correct
6% (04:57) wrong based on 15 sessions
Hide Show timer Statistics
If a and b are positive integers such that a/b = 82.024, which of the following can be the value of b?
(A) 100
(B) 150
(C) 200
(D) 250
(E) 550
Kudos for the right answer and explanation
(A) 100
(B) 150
(C) 200
(D) 250
(E) 550
Kudos for the right answer and explanation
If a and b are positive integers such that a/b = 82.024, which of the
[#permalink]
10 Jan 2021, 08:51
10 Jan 2021, 08:51
Let's simplify the fraction :
\(\frac{a}{b}\) = \(\frac{82024}{1000}\)
= \(\frac{10253*8}{125*8}\)
\(\frac{a}{b}\) = \(\frac{10253}{125}\)
Hence \(b\) will be the multiple of 125. (e.g. - 125 , 250 , 375 , ... )
Here in this case 250 is given.
Answer D
\(\frac{a}{b}\) = \(\frac{82024}{1000}\)
= \(\frac{10253*8}{125*8}\)
\(\frac{a}{b}\) = \(\frac{10253}{125}\)
Hence \(b\) will be the multiple of 125. (e.g. - 125 , 250 , 375 , ... )
Here in this case 250 is given.
Answer D
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1115
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: If a and b are positive integers such that a/b = 82.024, which of the
[#permalink]
10 Jul 2021, 07:19
10 Jul 2021, 07:19
1
a/b = 82.024
Can be written as a = b * 82.024
=> a = b*82 + b*0.024 = 82b + b * \(\frac{024}{1000}\)
=> a = 82b + b * \(\frac{3}{125}\)
This means, a when divided by b gives 82 as quotient and b * \(\frac{3}{125}\) as remainder.
Now, remainder has to be integer. And for b * \(\frac{3}{125}\) to be an integer b has to be a multiple of 125.
Only. multiple of 125 in the answer choice is 250.
So, answer will be D
Hope it helps!
To learn more about Remainders, watch the following video
Can be written as a = b * 82.024
=> a = b*82 + b*0.024 = 82b + b * \(\frac{024}{1000}\)
=> a = 82b + b * \(\frac{3}{125}\)
This means, a when divided by b gives 82 as quotient and b * \(\frac{3}{125}\) as remainder.
Now, remainder has to be integer. And for b * \(\frac{3}{125}\) to be an integer b has to be a multiple of 125.
Only. multiple of 125 in the answer choice is 250.
So, answer will be D
Hope it helps!
To learn more about Remainders, watch the following video
