The point A, B, C, and D are on the number line, not necessarily in that 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.
OA E
Source: GMAT Prep
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The point A, B, C, and D are on the number line, not
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BTGmoderatorDC
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GMATGuruNY
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The drawings below satisfy both statements:BTGmoderatorDC wrote:The point A, B, C, and D are on the number line, not necessarily in that 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.
Since in the first case BD=1 and in the second case BD=17, the two statements combined are insufficient.
The correct answer is E.
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Jay@ManhattanReview
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Let's take each statement one by one.BTGmoderatorDC wrote:The point A, B, C, and D are on the number line, not necessarily in that 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.
OA E
Source: GMAT Prep
(1) The distance between C and A is the same as the distance between C and B.
Case 1:
A-----------9-----------C-----------8---------D--1--B; BD = 1
Case 2:
A--1--D----------8-----------C-----------9---------B; BD = 17
No unique value of BD. Insufficient.
(2) A is to the left of D on the number line.
Certainly insufficient.
(1) and (2) together
For both the cases discussed in Statement 1, we have A is to the left of D on the number line. Insufficient.
The correct answer: E
Hope this helps!
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