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0 < a < b
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19 May 2017, 01:54
19 May 2017, 01:54
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Question Stats:
81% (00:55) correct
18% (00:49) wrong based on 197 sessions
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\(0 < a < b\)
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.
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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
