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In the triangle PQRS, PS=SR

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In the triangle PQRS, PS=SR [#permalink] New post   23 Jan 2017, 08:38
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#GREpracticequestion In the triangle PQRS, PS=SR.jpg
#GREpracticequestion In the triangle PQRS, PS=SR.jpg [ 15 KiB | Viewed 36734 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.
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Official Answer
D
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Re: In the triangle PQRS, PS=SR [#permalink] New post   24 Jan 2017, 20:00
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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:


Image

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.
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Re: In the triangle PQRS, PS=SR [#permalink] New post   07 Mar 2018, 14:45
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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.
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Re: In the triangle PQRS, PS=SR [#permalink] New post   07 Mar 2018, 14:46
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Notice how we have two version of this question.

Regards
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Re: In the triangle PQRS, PS=SR [#permalink] New post   11 Mar 2018, 07:17
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what is the answer
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Re: In the triangle PQRS, PS=SR [#permalink] New post   11 Mar 2018, 07:35
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sandy wrote:
Image

Quantity A: x
Quantity B: y

• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined


Show: ::
Attachment:
Quant4.jpg


In this problem, we are only told that PS=SR

yet, we have no info about the degree of x and y. In most case, unless specified, we can not judge the angle only by appearance.

Thus, ANS=D
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Re: In the triangle PQRS, PS=SR [#permalink] New post   11 Mar 2018, 12:55
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SherpaPrep wrote:
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.


I do not see z, honestly
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Re: In the triangle PQRS, PS=SR [#permalink] New post   11 Mar 2018, 12:55
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Arpine wrote:
what is the answer


D
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Re: In the triangle PQRS, PS=SR [#permalink] New post   12 Mar 2018, 01:15
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D
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Re: In the triangle PQRS, PS=SR [#permalink] New post   01 Sep 2018, 10:20
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Carcass wrote:
SherpaPrep wrote:
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.


I do not see z, honestly



hahaha
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Re: In the triangle PQRS, PS=SR [#permalink] New post   05 Nov 2018, 13:42
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Awesome explanation.

Thank you sandy.

Regards
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Re: In the triangle PQRS, PS=SR [#permalink] New post   Updated on: 18 Jan 2019, 18:06
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Carcass wrote:
Notice how we have two version of this question.

Regards

yes you are right question and answer....

Originally posted by AE on 18 Jan 2019, 18:02.
Last edited by AE on 18 Jan 2019, 18:06, edited 1 time in total.
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Re: In the triangle PQRS, PS=SR [#permalink] New post   18 Jan 2019, 18:05
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Carcass wrote:
SherpaPrep wrote:
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.


I do not see z, honestly

z is an enigma and we go..... for......go......for D......D.....D
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Re: In the triangle PQRS, PS=SR [#permalink] New post   27 Mar 2019, 16:22
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Attached is a visual that should help.

Image

Source: Vince and Brian's GRE PowerPrep Explanations

Best of luck on your GRE and beyond,

-Brian
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Re: In the triangle PQRS, PS=SR [#permalink] New post   22 Jan 2020, 06:41
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Re: In the triangle PQRS, PS=SR [#permalink] New post   23 May 2021, 12:06
Could this also be solved by knowing that when the altitude of a triangle bisects the base (PS = SR) then the triangle is equilateral or isosceles?

If an equilateral triangle - y would be 60 and x would be 30 (half of 60)
If an isosceles triangle - y could be 1 (and angle P could be 1) which would make x 89 (half of 178)

Since y is bigger with an equilateral triangle, and x is bigger with an isoceses the answer is D?
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Re: In the triangle PQRS, PS=SR [#permalink] New post   23 May 2021, 12:50
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NYCHutch89th wrote:
Could this also be solved by knowing that when the altitude of a triangle bisects the base (PS = SR) then the triangle is equilateral or isosceles?

If an equilateral triangle - y would be 60 and x would be 30 (half of 60)
If an isosceles triangle - y could be 1 (and angle P could be 1) which would make x 89 (half of 178)

Since y is bigger with an equilateral triangle, and x is bigger with an isoceses the answer is D?

yes

Considering the triangle NOT drawn the scale.

But is strategy border line, your assumptions
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Re: In the triangle PQRS, PS=SR [#permalink] New post   21 Sep 2021, 19:35
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QS is not an angle bisector that divides the angle Q in equal parts .

Also PS = SR dosent give any other leads to follow . Hence D
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Re: In the triangle PQRS, PS=SR [#permalink] New post   07 Jul 2022, 09:29
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Carcass wrote:

This question is a part of PowerPrep Question Collection



Attachment:
#GREpracticequestion In the triangle PQRS, PS=SR.jpg


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.


Solution:

We are given that PS = SR. So we see that QS is the median to side PR. However, there is no way we can determine a definite relationship between x and y. For example, x could be 50 and y could be 40, so x > y. On the other hand, x could be 40 and y could be 50, so x < y.

Answer: D
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Re: In the triangle PQRS, PS=SR [#permalink] New post   12 Oct 2023, 18:49
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