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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.

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:

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

Answer: D

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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.