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

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In the figure, l, m, and k are straight lines. Are the lines l and m  [#permalink]

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New post 09 Aug 2019, 02:25
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

30% (01:45) correct 70% (01:01) wrong based on 43 sessions

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In the figure, l, m, and k are straight lines. Are the lines l and m  [#permalink]

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New post 09 Aug 2019, 10:36
Statement1 if X= Q possible only when both are 90 so sufficient

Statement2 if Y= P possible only when both are 90 so sufficient
So answer is D
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Re: In the figure, l, m, and k are straight lines. Are the lines l and m  [#permalink]

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New post 09 Aug 2019, 11:04
In order lines to be parallel:
x = p & y = q

Statement 1: x =q
Possible only if line k is perpendicular to both line l and line m. Therefore, line l and line m are ||.......Hence Sufficient

Statement 2: y = q
Possible only if line k is perpendicular to both line l and line m. Therefore, line l and line m are ||.....Hence Sufficient

The answer should be D.
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Re: In the figure, l, m, and k are straight lines. Are the lines l and m  [#permalink]

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New post 09 Aug 2019, 19:31
Bunuel wrote:
Image
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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Re: In the figure, l, m, and k are straight lines. Are the lines l and m  [#permalink]

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New post 09 Aug 2019, 19:44
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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In the figure, l, m, and k are straight lines. Are the lines l and m  [#permalink]

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New post 10 Aug 2019, 02:11
reach2sangram wrote:

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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In the figure, l, m, and k are straight lines. Are the lines l and m   [#permalink] 10 Aug 2019, 02:11
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