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A certain straight corridor has four doors, A, B, C and D...

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A certain straight corridor has four doors, A, B, C and D...

by AAPL » Tue Oct 31, 2017 10:01 am
A certain straight corridor has four doors, A, B, C and D (in that order) leading off from the same side. How far apart are doors B and C?

(1) The distance between doors B and D is 10 meters.
(2) The distance between A and C is 12 meters.

The OA is E.

I need help to solve this DS question. Please, can any expert assist me with it? Thanks.
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Wed Nov 01, 2017 11:19 pm
AAPL wrote:A certain straight corridor has four doors, A, B, C and D (in that order) leading off from the same side. How far apart are doors B and C?

(1) The distance between doors B and D is 10 meters.
(2) The distance between A and C is 12 meters.

The OA is E.

I need help to solve this DS question. Please, can any expert assist me with it? Thanks.
The situation is that the points A, B, C, and D are in straight line and are placed in that order.

Say distance between A and B = x, distance between B and C = y; and distance between B and C = z.

We have to get the value of y.

(1) The distance between doors B and D is 10 meters.

=> y + z = 10. Can't get y. Insufficient.

(2) The distance between doors A and C is 12 meters.

=> x + y = 12. Can't get y. Insufficient.

(1) and (2) combined:

Even after manipulatng with y + z = 10 and x + y = 12, we can't get y. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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