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Bunuel
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Bunuel

In the figure, l, m, and k are straight lines. Are the lines l and m parallel?

(1) x = q
(2) y = p


Attachment:
2019-08-09_1323.png

Can you plz explain why it will be E

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The trick to solving such questions is to try and move your lines to match given statements and then evaluate.

Statement 1: x=q, move l in clockwise direction and m in anticlockwise direction to see that x can equal q at n angles.
Not sufficient

Statement 2: same exercise

Combined: See that when you rotate l clockwise and m anticlockwise, x can equal q and y can equal p.

For lines to be parallel, x has to equal p or y has to equal q

Answer E

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reach2sangram

Can you plz explain why it will be E

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The question asks whether the lines l and m are parallel.

(1) If x = q, then the lines are parallel ONLY if x = q = 90 degrees. Otherwise they intersect each other. Since it is both YES and NO, A in NOT SUFFICIENT.

(2) Similarly, the same goes for y = p. INSUFFICIENT.

Even (1) and (2) combined, we still do not have information on the values of the angles. Thus, E.

The trick is to not take the diagram given in the question as the source of truth. The diagram shows the lines l and m as already parallel, which may trick one into thinking x = p, so x and p must be 90.

Hope this helps.
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Hello from the GMAT Club BumpBot!

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