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# 0 < a < b < c

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0 < a < b < c [#permalink]  26 Aug 2018, 02:53
Expert's post
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Question Stats:

90% (00:38) correct 9% (00:11) wrong based on 11 sessions
$$0 < a < b < c$$

 Quantity A Quantity B $$\frac{b}{a}$$ $$\frac{c}{b}$$

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.

Kudos for R.A.E
[Reveal] Spoiler: OA

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Re: 0 < a < b < c [#permalink]  26 Aug 2018, 05:47
Carcass wrote:
$$0 < a < b < c$$

 Quantity A Quantity B $$\frac{b}{a}$$ $$\frac{c}{b}$$

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.

Kudos for R.A.E

Here no information apart from positive nos. is given for a, b and c
SO they can be integer or fraction

Taking integer value

a = 1 ; b = 2 ; c = 3

Then QTY A = 2/1 = 2

QTY B = 3/2 = 1.5

Therefore QTY A > QTY B

Taking fraction

a = 1/2 ; b = 1 ; c = 2

Then QTY A = 2

QTY B = 3/1 = 3

So QTY B > QTY A

Hence option D
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Re: 0 < a < b < c   [#permalink] 26 Aug 2018, 05:47
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