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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # In the figure, l, m, and k are straight lines. Are the lines l and m

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Math Expert V
Joined: 02 Sep 2009
Posts: 64248
In the figure, l, m, and k are straight lines. Are the lines l and m  [#permalink]

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Difficulty:   95% (hard)

Question Stats: 33% (01:41) correct 67% (01:01) wrong based on 55 sessions

### HideShow timer Statistics 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 [ 8.69 KiB | Viewed 1138 times ]

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Joined: 05 Jul 2019
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Location: India
Schools: ISB '21
In the figure, l, m, and k are straight lines. Are the lines l and m  [#permalink]

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Statement1 if X= Q possible only when both are 90 so sufficient

Statement2 if Y= P possible only when both are 90 so sufficient
Intern  B
Joined: 09 Jul 2014
Posts: 22
Re: In the figure, l, m, and k are straight lines. Are the lines l and m  [#permalink]

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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

Intern  B
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Location: India
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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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Bunuel wrote: 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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Duke & Cornell Moderator S
Joined: 29 May 2018
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Location: India
GMAT 1: 700 Q48 V38
GMAT 2: 720 Q49 V39
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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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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

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Intern  B
Joined: 03 Apr 2018
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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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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. In the figure, l, m, and k are straight lines. Are the lines l and m   [#permalink] 10 Aug 2019, 01:11

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