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Exactly the explanation given by Bunuel... +1 for A
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MisterEko
Guys,
as my G-day is approaching, I am putting more and more effort in improving my Quant. However, I seem to have troubles with some basic concepts. Below are the 5 questions which I know have simple explanations but are for some reason difficult for me to understand. If you can explain the solutions for any of them, I would greatly appreciate it! Cheers! :war




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Note that the shortest distance between two parallel lines is the perpendicular distance. As the angle keeps decreasing, the length of the line keeps increasing. So if we know that x>y, then PQ < SR. Stmnt 1 Sufficient.

Attachment:
Ques1.jpg
Ques1.jpg [ 2.61 KiB | Viewed 68285 times ]

Since statement 2 doesn't give any information about relative size of x and y, nothing can be said about PQ and SR. Not sufficient.

Answer (A).
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If the statement didn't contain the restriction about x and y(both are less than 90),then answer would have been "E".
Am I correct in this assessment?
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If the statement didn't contain the restriction about x and y(both are less than 90),then answer would have been "E".
Am I correct in this assessment?

Yes, if we were not given that x and y are each less than 90 then PQ and SR could be mirror images of each other and thus have equal length.
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Hi guys,

I went through the task and argued similar we would have argued in a triangle.
The side which is opposite the smaller angle is also the smaller side. (in a triangle)
But here in a polygon this argumentation doesnt hold.

Because I thought SR is smaller than PQ because angle x is smaller than (180-y).

After reading your explanations I totally get your point, but I dont understand why we can't argue the same way we do with
triangles.

Thanks !
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gmatstrong
Hi guys,

I went through the task and argued similar we would have argued in a triangle.
The side which is opposite the smaller angle is also the smaller side. (in a triangle)
But here in a polygon this argumentation doesnt hold.

Because I thought SR is smaller than PQ because angle x is smaller than (180-y).

After reading your explanations I totally get your point, but I dont understand why we can't argue the same way we do with
triangles.

Thanks !

First of all, think, which side of the quadrilateral is the opposite side to any given angle. Look at the diagram, the angle has 2 sides opposite to it (which don't form the angle). You can make one of the opposite sides smaller and the other greater at whim. So there is no defined relation between the angle and the opposite sides.

Attachment:
Ques3.jpg
Ques3.jpg [ 4.6 KiB | Viewed 59504 times ]
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VeritasPrepKarishma Can you elaborate this explanation from scratch. Not able to understand what all rules it is using concerning the parallel lines given. Cannot understand Bunuel's post.

Thanks!

ucb2k7


VeritasPrepKarishma
MisterEko
Guys,
as my G-day is approaching, I am putting more and more effort in improving my Quant. However, I seem to have troubles with some basic concepts. Below are the 5 questions which I know have simple explanations but are for some reason difficult for me to understand. If you can explain the solutions for any of them, I would greatly appreciate it! Cheers! :war





Note that the shortest distance between two parallel lines is the perpendicular distance. As the angle keeps decreasing, the length of the line keeps increasing. So if we know that x>y, then PQ < SR. Stmnt 1 Sufficient.

Attachment:
Ques1.jpg

Since statement 2 doesn't give any information about relative size of x and y, nothing can be said about PQ and SR. Not sufficient.

Answer (A).
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ucb2k7
VeritasPrepKarishma Can you elaborate this explanation from scratch. Not able to understand what all rules it is using concerning the parallel lines given. Cannot understand Bunuel's post.

Thanks!

ucb2k7


VeritasPrepKarishma
MisterEko
Guys,
as my G-day is approaching, I am putting more and more effort in improving my Quant. However, I seem to have troubles with some basic concepts. Below are the 5 questions which I know have simple explanations but are for some reason difficult for me to understand. If you can explain the solutions for any of them, I would greatly appreciate it! Cheers! :war

Note that the shortest distance between two parallel lines is the perpendicular distance. As the angle keeps decreasing, the length of the line keeps increasing. So if we know that x>y, then PQ < SR. Stmnt 1 Sufficient.

Attachment:
Ques1.jpg

Since statement 2 doesn't give any information about relative size of x and y, nothing can be said about PQ and SR. Not sufficient.

Answer (A).

You are given that PS is parallel to QR. The shortest distance between these two lines will be the perpendicular distance as shown by the solid line between them in the diagram above (https://gmatclub.com/forum/in-the-figur ... ml#p829762)

Now as you turn the line towards the right (as shown by dotted lines above) the angle at the base keeps reducing. Consider two such lines PQ and SR. If the angle x is greater than angle y, it means PQ is less tilted than SR. So PQ is closer to the perpendicular line than is SR. So PQ is shorter than SR.

Does this help?
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