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.
Apr 24Get an Extra 30% Off Target Test Prep Plans
08:00 PM EDT
-11:59 PM EDT
Grab 30% off any Target Test Prep GRE plan during our Flash Sale and join Brian and many other students who have used Target Test Prep to score high on the GRE. Just enter the coupon code FLASH30 at checkout to save big.
0 < a < b
[#permalink]
19 May 2017, 01:54
19 May 2017, 01:54
Expert Reply
1
Bookmarks
00:00
Question Stats:
81% (00:55) correct
18% (00:51) wrong based on 182 sessions
Hide Show timer Statistics
\(0 < a < b\)
Quantity A |
Quantity B |
a% of \(\frac{1}{b}\) |
b% of \(\frac{1}{a}\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 0 < a < b
[#permalink]
26 May 2017, 12:25
26 May 2017, 12:25
3
Carcass wrote:
0 < a < b
Quantity A |
Quantity B |
a% of 1/b |
b% of 1/a |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
a% of 1/b = (a/100)(1/b)
= a/(100b)
b% of 1/a = (b/100)(1/a)
= b/(100a)
So, we have:
Quantity A: a/(100b)
Quantity B: b/(100a)
Multiply both quantities by 100b to get:
Quantity A: a
Quantity B: b²/a
Multiply both quantities by a to get:
Quantity A: a²
Quantity B: b²
We're told that 0 < a < b, which means 0 < a² < b²
Answer:
Show: ::
B
Re: 0 < a < b
[#permalink]
29 May 2017, 07:17
29 May 2017, 07:17
2
But it is not given that the numbers are integers.If the a & b are fraction then the result would be opposite.
hence, the answer should be D
hence, the answer should be D
