Points on a line : GMAT Data Sufficiency (DS)

Points on a line

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Points on a line [#permalink]

12 Dec 2011, 06:56

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Question Stats:

80% (03:21) correct

20% (00:02) wrong

based on 0 sessions

The point A, B, C, and D are on the number line, not necessarily in the order. If the distance between A and B is 18 and the distance between C and D is 8, what is the distance between B and D?
1). The distance between C and A is the same as the distance between C and B.
2). A is to the left of D on the number line.

The answer is E. Any idea how come?

[Reveal] Spoiler: OA

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E.

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Re: Points on a line [#permalink]

12 Dec 2011, 18:57

ABCD can be arranged in any order on the number line, the question stem does not has enough information to rephrase. So, lets move to statements.

1. C is between A and B. There are four sequences possible here: ACDB, ADCB, BCDA, and BDCA. All cases has different distances (2 pairs) between B and D. INSUFFICIENT
2. A is to the left of D. Where is D w.r.t B? INSUFFICIENT

Together, we have ACDB or ADCB as the sequence, both with different distances between B and D. INSUFFICIENT.

E.
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Re: Points on a line [#permalink]

14 Dec 2011, 06:43

If you draw a number line and plot points ABCD on it, then you will realise that -

1) B can be between A and C
2) C can be between A and B

The above 2 variations is sufficient to prove that the answer is E.

Re: Points on a line [#permalink] 14 Dec 2011, 06:43

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	On the number line, the distance between point A and point C	Hermione	2	20 Oct 2006, 01:54
	does line contain point	sunny4frenz	1	20 Sep 2009, 09:20

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