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If a > b > 1, which of the following must be less than 1 but more than

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If a > b > 1, which of the following must be less than 1 but more than [#permalink]

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New post 04 May 2017, 15:20
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86% (00:46) correct 14% (00:59) wrong based on 63 sessions

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If a > b > 1, which of the following must be less than 1 but more than 0?

A) a -b

B) b -a

C) a x b - (a + b)

D) a/b

E) b/a
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Re: If a > b > 1, which of the following must be less than 1 but more than [#permalink]

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New post 04 May 2017, 22:53
Let a = 5; b = 3.

A) a - b --> 5 - 3 > 1. Incorrect

B) b - a --> Will be negative. Incorrect.

C) a x b - (a + b) --> 15 - 8 > 1. Incorrect

D) a/b > 1. Incorrect.

E) b/a will be between 0 and 1. Correct

Answer: E
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If a > b > 1, which of the following must be less than 1 but more than [#permalink]

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New post 01 Aug 2017, 16:44
I'm sorry but I'm not getting it. For example, if we have b = 0.5 and a = -1.0, then b/a = 0.5/-1.0 = -0.5...

It seems to me that none of the answer choices must be true... Can someone please explain why E is the answer choice and if my reasoning is incorrect?


EDIT: I just realized I made a mistake when reading the question and assumed a<b<1 ! If this was the case none of the answer choices would be correct, right?
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Re: If a > b > 1, which of the following must be less than 1 but more than [#permalink]

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New post 01 Aug 2017, 16:51
mikedays wrote:
I'm sorry but I'm not getting it. For example, if we have b = 0.5 and a = -1.0, then b/a = 0.5/-1.0 = -0.5...

It seems to me that none of the answer choices must be true... Can someone please explain why E is the answer choice and if my reasoning is incorrect?


EDIT: I just realized I made a mistake when reading the question and assumed a<b<1 ! If this was the case none of the answer choices would be correct, right?


yes, you are correct. Always read the question carefully.
Re: If a > b > 1, which of the following must be less than 1 but more than   [#permalink] 01 Aug 2017, 16:51
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