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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]  21 Sep 2017, 11:42
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Question Stats:

57% (02:34) correct 42% (01:08) wrong based on 14 sessions
The area of ∠ JKL is 65 sq.units

 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.

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]  22 Sep 2017, 00:45
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Expert's post

Thanks for pointing out fixed the errors.
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Re: QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub [#permalink]  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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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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Kudos [?]: 1895 [0], given: 397

Re: QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub [#permalink]  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]  13 Mar 2018, 16:30

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]  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]  01 Sep 2018, 09:21
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Re: QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub [#permalink]  18 Jan 2019, 18:16
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.

Base KL
Height 10
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Re: QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub [#permalink]  18 Jan 2019, 18:17
IshanGre wrote:

I agree.
Re: QUANTITATIVE SECTION 7 Ques 4 of 20 ID: Q02-81 GGREClub   [#permalink] 18 Jan 2019, 18:17
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