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# Which is greater x or 90

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1975 [1] , given: 397

Which is greater x or 90 [#permalink]  30 May 2016, 05:17
1
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00:00

Question Stats:

40% (00:37) correct 60% (00:55) wrong based on 25 sessions
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#GREpracticequestion Which is greater x or 90.jpg [ 16.55 KiB | Viewed 425 times ]

 Quantity A Quantity B x 90

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Practice Questions
Question: 4
Page: 100
[Reveal] Spoiler: OA

_________________

Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1975 [2] , given: 397

Re: Compare angle of a triangle [#permalink]  30 May 2016, 05:21
2
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Expert's post
Explanation

The figure looks like a right triangle with legs of length 5 + y and 12 – y and hypotenuse of length 13. If y = 0, then the sides of the triangle have lengths 5, 12, and 13. This triangle is in fact a right triangle because $$5^2 + 12^2 = 13^2$$. So the angle labeled x° is a right angle; that is, x = 90. In this case, Quantity A is equal to Quantity B.

Now consider another value of y, say y = 1, to see if the triangle is still a right triangle in this case. If y = 1, then the sides of the triangle have lengths 6, 11, and 13. This triangle is not a right triangle because $$6^2 + 11^2$$ not equal to $$13^2$$. So the angle labeled x° is not a right angle; that is, x ≠ 90. In this
case, Quantity A is not equal to Quantity B.

Because Quantity A is equal to Quantity B in one case and Quantity A is not equal to Quantity B in another case, the correct answer is Choice D.
_________________

Sandy
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Re: Compare angle of a triangle   [#permalink] 30 May 2016, 05:21
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