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In the triangle PQRS, PS=SR
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23 Jan 2017, 08:38
23 Jan 2017, 08:38
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Question Stats:
89% (00:58) correct
10% (01:35) wrong based on 344 sessions
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Attachment:
#GREpracticequestion In the triangle PQRS, PS=SR.jpg [ 15 KiB | Viewed 35226 times ]
Quantity A |
Quantity B |
X |
Y |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: In the triangle PQRS, PS=SR
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24 Jan 2017, 20:00
24 Jan 2017, 20:00
16
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Explanation
According to the current diagram, y° is larger than x°. But remember, the figures are not always drawn to scale and you are free to make changes provided you keep the information given as a constant. In this case, the constant is that PS = SR.
So keeping line PR the same, where PS = SR, move Q around to see what happens to x and y:
As you can see, it’s impossible to determine which angle is greater without having more information about point Q.
Hence option D is correct.
According to the current diagram, y° is larger than x°. But remember, the figures are not always drawn to scale and you are free to make changes provided you keep the information given as a constant. In this case, the constant is that PS = SR.
So keeping line PR the same, where PS = SR, move Q around to see what happens to x and y:
As you can see, it’s impossible to determine which angle is greater without having more information about point Q.
Hence option D is correct.
Attachments
di new.jpg [ 18.25 KiB | Viewed 56398 times ]
General Discussion
Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
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Re: In the triangle PQRS, PS=SR
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07 Mar 2018, 14:45
07 Mar 2018, 14:45
2
Expert Reply
The easiest way to solve this problem is to attempt to produce two different answers. What if we imagined that point Q was stretched waaaay off to the right? Draw a quick picture. This would make y quite large and z quite small.
Now how can we make z large and y small? If you imagine smushing point Q down very close to the base, then z would be quite large while y would be small. So the answer is D.
Now how can we make z large and y small? If you imagine smushing point Q down very close to the base, then z would be quite large while y would be small. So the answer is D.
