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

It is currently 18 Oct 2018, 19:38

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 triangle JKM, if JK = x, KM = y, and JM = z, which of the three ang

  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: 50000
In triangle JKM, if JK = x, KM = y, and JM = z, which of the three ang  [#permalink]

Show Tags

New post 25 Dec 2017, 05:35
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

83% (01:24) correct 17% (01:13) wrong based on 38 sessions

HideShow timer Statistics

PS Forum Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1216
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge
In triangle JKM, if JK = x, KM = y, and JM = z, which of the three ang  [#permalink]

Show Tags

New post 25 Dec 2017, 06:39
Bunuel wrote:
In triangle JKM, if JK = x, KM = y, and JM = z, which of the three angles has the least degree measure?


(1) \(x = y\sqrt{3}\)

(2) y = z/2


The angle opposite to the smallest side is the Smallest. So the question essentially asks which among positive numbers \(x\), \(y\) & \(z\) is smallest?

Statement 1: \(x = y\sqrt{3}=>x>y\). but we know nothing about \(z\). Insufficient

Statement 2: \(y=\frac{z}{2}=>z>y\). but we know nothing about \(x\). Insufficient

Combining 1 & 2: on substituting the value of \(y\) in statement 1 we have \(x=\sqrt{3}*\frac{z}{2}=>z>x\)

Hence we get \(z>x>y\). So angle opposite to side KM will be smallest. Sufficient

Option C
Manager
Manager
avatar
B
Joined: 24 Nov 2016
Posts: 152
Re: In triangle JKM, if JK = x, KM = y, and JM = z, which of the three ang  [#permalink]

Show Tags

New post 25 Dec 2017, 15:57
Bunuel wrote:
In triangle JKM, if JK = x, KM = y, and JM = z, which of the three angles has the least degree measure?


(1) \(x = y\sqrt{3}\)

(2) y = z/2


(1) \(x = y\sqrt{3}\). So, \(x>y\), no info on \(z\), insufficient.
(2) y = z/2. So, \(z>y\), no info on \(x\), insufficient.
(1) & (2). \(z=2y\) and \(x = y\sqrt{3}\), so \(y< y\sqrt{3} < 2y = y < x < z\); y is the smallest, sufficient.

(C) is the answer.
GMAT Club Bot
Re: In triangle JKM, if JK = x, KM = y, and JM = z, which of the three ang &nbs [#permalink] 25 Dec 2017, 15:57
Display posts from previous: Sort by

In triangle JKM, if JK = x, KM = y, and JM = z, which of the three ang

  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®.