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0 < a < b

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Carcass
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0 < a < b [#permalink] New post   19 May 2017, 01:54
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A
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D

Question Stats:

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0<a<b

Quantity A
Quantity B
a% of 1b
b% of 1a


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.
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B
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GreenlightTestPrep
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Re: 0 < a < b [#permalink] New post   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
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malimah
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Re: 0 < a < b [#permalink] New post   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
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GreenlightTestPrep
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Re: 0 < a < b [#permalink] New post   29 May 2017, 07:58
3
malimah wrote:
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


If 0 < a < b, then 0 < a² < b², regardless of whether a and b are fractions

If you want to choose D as the correct answer, then you need to find values of a and b that show either quantity can be greater.

Cheers,
Brent
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mrr0821
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Re: 0 < a < b [#permalink] New post   29 Sep 2018, 11:19
I picked B
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Re: 0 < a < b [#permalink] New post   13 Apr 2021, 18:47
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: 0 < a < b [#permalink]
13 Apr 2021, 18:47
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