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Intern Joined: 24 May 2016
Posts: 33
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m or 15 [#permalink] 00:00

Question Stats: 90% (00:50) correct 9% (00:30) wrong based on 11 sessions
Attachment: triangles.jpg [ 19.32 KiB | Viewed 420 times ]

 Quantity A Quantity B m 15

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
[Reveal] Spoiler: OA

Last edited by Carcass on 14 Mar 2018, 15:23, edited 1 time in total.
Edited by Carcass GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1776  , given: 397

Re: Quantitative reasoning [#permalink]
2
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Expert's post
I am not sure if this is a GRE question. And please follow the rules of posting question.

The first triangle and the second triangle are similar. Both of them are right triangle and both the triangles have one angle equal to $$x$$ degrees.

We can say that:

In triangle 1 we have hypotenuse=$$\sqrt{3^2 + 4^2}=5$$ .

height of triangle 1/ height of triangle 2 = hypotenuse of triangle 1/ hypotenuse of triangle 2.

$$\frac{10}{4}=\frac{m}{5}$$ so $$m=12.5$$.

Hence option B is greater.

Please type out your questions and also share the source of the questions.
_________________

Sandy
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Manager Joined: 22 Feb 2018
Posts: 158
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Kudos [?]: 100 , given: 21

Re: m or 15 [#permalink]
Correct: B
In the left triangle, as it is a right side one, the other side is 5. And we have: cos x = 4/5
In the right triangle, angle x is equal to angle x in the left triangle. We have cos x = 10 / m = 4/5, so m is 12.5
And B is bigger than m

_________________

Manager Joined: 15 Feb 2018
Posts: 53
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Kudos [?]: 17 , given: 33

Re: m or 15 [#permalink]
Notice the first triangle is a 3-4-5 triangle so x = 30 degrees.

In the second triangle, we want to find the side opposite to angle x. We know that a*sqrt{3} = 10 so a = 10*sqrt{3}/3.

Now using the Pythagorean formula, m^{2} = 10^{2} + (10*sqrt{3}/3)^{2} --> m = sqrt{100 + 100/3} = 11.5 < 15. So answer is Qty B.
Director Joined: 09 Nov 2018
Posts: 509
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Kudos [?]: 21 , given: 1

Re: Quantitative reasoning [#permalink]
sandy wrote:

The first triangle and the second triangle are similar. Both of them are right triangle and both the triangles have one angle equal to $$x$$ degrees.

The first triangle and the second triangle are similar-how? please explain
Director Joined: 09 Nov 2018
Posts: 509
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Kudos [?]: 21 , given: 1

Re: m or 15 [#permalink]
we can not assume both triangle---right? Re: m or 15   [#permalink] 19 Jan 2019, 17:35
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