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RS= ST= TU= UR= 10

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RS= ST= TU= UR= 10 [#permalink] New post 30 Jul 2019, 02:30
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Question Stats:

65% (01:13) correct 34% (01:13) wrong based on 73 sessions
Attachment:
#GREprepquestion RS= ST= TU= UR= 10 .jpg
#GREprepquestion RS= ST= TU= UR= 10 .jpg [ 7.65 KiB | Viewed 2430 times ]


\(RS= ST= TU= UR= 10\)

Quantity A
Quantity B
\(RT\)
\(13\)


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.
[Reveal] Spoiler: OA

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Re: RS= ST= TU= UR= 10 [#permalink] New post 30 Jul 2019, 05:21
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Carcass wrote:
Attachment:
The attachment #GREprepquestion RS= ST= TU= UR= 10 .jpg is no longer available


RS= ST= TU= UR= 10

Quantity A
Quantity B
RT
13


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.


Since RS = ST = TU = UR, we know that quadrilateral RSTU is a RHUMBUS (aka diamond shape)

As such, we can keep all sides the same length
when we "squeeze" the sides horizontally, like this:
Attachment:
RS= ST= TU= UR= 10 - 1.png
RS= ST= TU= UR= 10 - 1.png [ 4.65 KiB | Viewed 2405 times ]

In this case, we can see that the lenght of RT is less than 13

Alternatively, we can also keep all sides the same length
when we "squeeze" the sides vertically, like this:
Attachment:
RS= ST= TU= UR= 10 - 2.png
RS= ST= TU= UR= 10 - 2.png [ 2.58 KiB | Viewed 2405 times ]

In this case, we can see that the lenght of RT is greater than 13

Answer: D

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Re: RS= ST= TU= UR= 10 [#permalink] New post 17 Oct 2020, 16:10
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Carcass wrote:
Attachment:
#GREprepquestion RS= ST= TU= UR= 10 .jpg


\(RS= ST= TU= UR= 10\)

Quantity A
Quantity B
\(RT\)
\(13\)


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.


Another approach is:

Since RST is a triangle and RS = ST = 10,

RS - ST < RT < RS + ST i.e.,

10 - 10 < RT < 10 + 10 ==> 0 < RT < 20.

RT can be any value between 1 and 19, therefore the answer is D.
Re: RS= ST= TU= UR= 10   [#permalink] 17 Oct 2020, 16:10
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