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QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub

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QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub [#permalink] New post 21 Sep 2017, 11:42
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Question Stats:

63% (02:23) correct 36% (01:00) wrong based on 11 sessions
The area of ∠ JKL is 65 sq.units

Image

Quantity A
Quantity B
\(KL\)
\(LM\)




Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.


tHE ANSWER GIVEN IS D.

Here is my reasoning let me know if it is correct -

We know area of triangle = 1/2 base X altitude ie for triangle JKL; KL * 10/2 = 65

or KL = 13

Now consider triangle JKM

By Pythagoras theorem -

KM = √ (26 ^ 2-10 ^ 2) = 24

or LM = 24-13 = 11 (since LM = KM-KL ) so Quantity A> Quantity B.
[Reveal] Spoiler: OA

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Re: QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub [#permalink] New post 22 Sep 2017, 00:45
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Expert's post
Your method is correct!

Thanks for pointing out fixed the errors.
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Re: QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub [#permalink] New post 15 Dec 2017, 15:27
Hi sir,

I had a doubt while reading your explanation regarding this question.My doubt is that ,by considering the triangle JKL how can you take base as 10?i ma kindly requesting you for help to clear my doubt.
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Re: QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub [#permalink] New post 16 Dec 2017, 01:03
Expert's post
divyavivek wrote:
Hi sir,

I had a doubt while reading your explanation regarding this question.My doubt is that ,by considering the triangle JKL how can you take base as 10?i ma kindly requesting you for help to clear my doubt.



The base is not 10 units the height is 10 units.

The height of the triangle JKL and JKM are both the same 10 units.
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Re: QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub [#permalink] New post 13 Mar 2018, 16:30

Answer: D
as JMK is a right side triangle we have: 10^2 + (KL+LM)^2 = 26^2
So KL + LM = 24
Area of triangle JKL is 65. So height * KJ /2 = 65 -> height = 130/26 = 5 base is KJ and height is the one from angle L to the line KJ
On the other hand, MJL is also a right side triangle. We have 10^2 + ML^2 = jk^2
ML^2 = JK^2 - 10^2
with the given information we can't find out wanted values and the correct answer is D

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Re: QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub [#permalink] New post 14 Mar 2018, 01:19
Expert's post
Area of triangle JKL is 65. So height * KJ /2 = 65 .... This is incorrect.

Area of triangle JKL = height * KL /2 = 65
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Re: QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub [#permalink] New post 01 Sep 2018, 09:21
Answer is A right?
Re: QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub   [#permalink] 01 Sep 2018, 09:21
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