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Points a, b, c, d are all on a number line and d > a. If b is twice as

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Points a, b, c, d are all on a number line and d > a. If b is twice as  [#permalink]

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New post 18 Sep 2018, 22:16
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A
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C
D
E

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Points a, b, c, d are all on a number line and d > a. If b is twice as far from d as it is from a and c is twice as far from a as it is from d, then (c - b)/(d - a) could equal all of the following answer choices EXCEPT?


A. -1
B. 1/3
C. 1
D. 2
E. 3

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Re: Points a, b, c, d are all on a number line and d > a. If b is twice as  [#permalink]

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New post 18 Sep 2018, 22:57
Bunuel wrote:
Points a, b, c, d are all on a number line and d > a. If b is twice as far from d as it is from a and c is twice as far from a as it is from d, then (c - b)/(d - a) could equal all of the following answer choices EXCEPT?


A. -1
B. 1/3
C. 1
D. 2
E. 3


IMO A

As shown in the diagram below b,b' and c,c' can be different positions of b and c.

As shown (c-b), (c-b'), (c'-b) or (c'-b') will always be +ve
Given d>a
So (c-b) or (c-b') or (c'-b) or (c'-b')/(d-a) is always +ve

Only option A has -ve value, hence answer is A
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Re: Points a, b, c, d are all on a number line and d > a. If b is twice as &nbs [#permalink] 18 Sep 2018, 22:57
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