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m or 15

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awamy
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m or 15 [#permalink] New post   Updated on: 14 Mar 2018, 15:23
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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
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Official Answer
B

Originally posted by awamy on 14 Mar 2018, 02:24.
Last edited by Carcass on 14 Mar 2018, 15:23, edited 1 time in total.
Edited by Carcass
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sandy
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Re: Quantitative reasoning [#permalink] New post   14 Mar 2018, 07:22
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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.
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Fatemeh
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Re: m or 15 [#permalink] New post   14 Mar 2018, 15:34
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
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gremather
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Re: m or 15 [#permalink] New post   16 Mar 2018, 03:54
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.
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Re: Quantitative reasoning [#permalink] New post   19 Jan 2019, 17:34
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
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Re: m or 15 [#permalink] New post   19 Jan 2019, 17:35
we can not assume both triangle---right?
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gmatclubot
Re: m or 15 [#permalink]
19 Jan 2019, 17:35
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