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0 < a < 1 < b < c

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0 < a < 1 < b < c [#permalink] New post 17 Oct 2017, 14:05
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Question Stats:

62% (00:34) correct 37% (00:18) wrong based on 8 sessions



\(0 < a < 1 < b < c\)

Quantity A
Quantity B
\(\frac{c^2}{a}\)
\(\frac{bc}{ab}\)



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.
[Reveal] Spoiler: OA

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Re: 0 < a < 1 < b < c [#permalink] New post 18 Oct 2017, 05:04
Quantity A has at the denominator a number lower than 1 but greater than zero, this means it increases when divided by it. Moreover, it has a numerator as the highest number among the three to the power of 2.

Quantity B, instead, has a number greater than 1 at the denominator and a lower numerator, given that b < c and thus bc < c^2.

This leads to the choice of B!

Putting in some numbers as a = 1/2, b = 2 and c = 3; we would get A = 3^2/(1/2) = 18 and B = 3*2/(1/2)*2 = 6.
Re: 0 < a < 1 < b < c   [#permalink] 18 Oct 2017, 05:04
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