GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 24 May 2019, 10:40

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

In ΔJKL shown above, what is the length of segment JL ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55271
In ΔJKL shown above, what is the length of segment JL ?  [#permalink]

Show Tags

New post 26 Apr 2019, 02:59
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

86% (00:39) correct 14% (00:33) wrong based on 72 sessions

HideShow timer Statistics

examPAL Representative
User avatar
P
Joined: 07 Dec 2017
Posts: 1058
Re: In ΔJKL shown above, what is the length of segment JL ?  [#permalink]

Show Tags

New post 26 Apr 2019, 15:15
The Logical approach to this question will use the fact that in order to find the measurements of all of the sides of a 30-60-90 triangle (or a 45-45-90 triangle) all ee need is one side.
In this question each of the statements gives us the length of one side, and thus they each suffice on their own. The correct answer is (D).

Posted from my mobile device
_________________
Intern
Intern
User avatar
S
Joined: 14 Apr 2017
Posts: 44
Location: Hungary
GMAT 1: 690 Q50 V34
GMAT 2: 760 Q50 V42
GMAT 3: 700 Q50 V33
WE: Education (Education)
CAT Tests
Re: In ΔJKL shown above, what is the length of segment JL ?  [#permalink]

Show Tags

New post 27 Apr 2019, 17:24
1
Bunuel wrote:
Image
In ΔJKL shown above, what is the length of segment JL ?

(1) JK = 10
(2) KL = 5


DS83602.01
OG2020 NEW QUESTION


\(\triangle{JKL}\) is a 30-60-90 degree special right triangle with a ratio of \(1:\sqrt{3}:2\) for its corresponding sides. The original question: \(JL=?\)

1) We know that \(JK=10\), the angle opposite \(JK\) is \(90^{\circ}\), and the angle opposite \(JL\) is \(60^{\circ}\), so \(JL:10=\sqrt{3}:2\). Thus, we could get a unique value to answer the original question. \(\implies\) Sufficient

2) We know that \(KL=5\), the angle opposite \(KL\) is \(30^{\circ}\), and the angle opposite \(JL\) is \(60^{\circ}\), so \(JL:5=\sqrt{3}:1\). Thus, we could get a unique value to answer the original question. \(\implies\) Sufficient

Answer: D
_________________
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 14198
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: In ΔJKL shown above, what is the length of segment JL ?  [#permalink]

Show Tags

New post 12 May 2019, 14:06
Hi All,

Based on the triangle JKL above, we know that we're dealign with a 30/60/90 right triangle. We're asked for the length of segment JL. The 30/60/90 triangle has a specific 'ratio of sides' (re: X : X√3 : 2X), meaning that if we know 1 of the sides, then we can determine the lengths of the other 2. By extension, depending on the information in the two Facts, we could potentially answer this question without doing any math at all.

(1) JK = 10

Fact 1 gives us the hypotenuse of the triangle, so we can figure out the exact values of the other two sides.
Fact 1 is SUFFICIENT

(2) KL = 5
Fact 2 gives us the 'short leg' of the triangle, so we can figure out the exact values of the other two sides.
Fact 2 is SUFFICIENT

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6231
Location: United States (CA)
Re: In ΔJKL shown above, what is the length of segment JL ?  [#permalink]

Show Tags

New post 12 May 2019, 19:09
Bunuel wrote:
Image
In ΔJKL shown above, what is the length of segment JL ?

(1) JK = 10
(2) KL = 5


DS83602.01
OG2020 NEW QUESTION

Attachment:
2019-04-26_1358.png


We see that we have a 30-60-90 right triangle, which has sides in the following ratio:

x : x√3 : 2x

Thus, if we know the length of either JK or KL, we can determine the length of JL.

Statement One Alone:

JK = 10

Since JK = 10, 2x = 10, so x = 5, and thus JL = 5√3.

Statement one is sufficient to answer the question.

Statement Two Alone:

KL = 5

Since KL = 5, JL = 5√3.

Statement two alone is sufficient to answer the question.

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3727
Location: Canada
Re: In ΔJKL shown above, what is the length of segment JL ?  [#permalink]

Show Tags

New post 13 May 2019, 10:47
Top Contributor
Bunuel wrote:
Image
In ΔJKL shown above, what is the length of segment JL ?

(1) JK = 10
(2) KL = 5


DS83602.01
OG2020 NEW QUESTION

Attachment:
2019-04-26_1358.png


KEY CONCEPT: 30-60-90 triangles are known as special right triangles, and we know quite a bit about this kind of triangle

Target question: What is the length of segment JL ?

Statement 1: JK = 10
Image
Compare ΔJKL with the BASE 30-60-90 triangle.
Their corresponding hypotenuses are 10 and 2, which tells us that ΔJKL is 5 times the size of BASE 30-60-90 triangle.
So, the length of segment JL will be 5 times the size its corresponding side (with length √3)
In other words, JL must have length 5√3
Since we can answer the target question with certainty, statement 1 is SUFFICIENT


Statement 2: KL = 5
Image
The corresponding sides here have lengths 5 and 1, which tells us that ΔJKL is 5 times the size of BASE 30-60-90 triangle.
So, JL must have length 5√3
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
GMAT Club Bot
Re: In ΔJKL shown above, what is the length of segment JL ?   [#permalink] 13 May 2019, 10:47
Display posts from previous: Sort by

In ΔJKL shown above, what is the length of segment JL ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.