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

It is currently 17 Jun 2019, 08:04

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

Triangle ABC has sides Z, √Z and Z^2, where Z is an integer. What is

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

Hide Tags

 
Intern
Intern
avatar
B
Joined: 25 Jan 2013
Posts: 21
Concentration: Marketing, Strategy
GPA: 3.64
GMAT ToolKit User
Triangle ABC has sides Z, √Z and Z^2, where Z is an integer. What is  [#permalink]

Show Tags

New post Updated on: 14 Sep 2017, 04:41
1
9
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (02:04) correct 40% (02:40) wrong based on 60 sessions

HideShow timer Statistics

Triangle ABC has sides Z, √Z and Z^2, where Z is an integer. What is the area of ABC?

A) √2
B) 2
C) 2√2
D) √3/4
E) √15/2

_________________

pressing +1 kudos is a nice way to say thanks


Originally posted by HUNTdGMAT on 14 Sep 2017, 04:32.
Last edited by Bunuel on 14 Sep 2017, 04:41, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Retired Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1209
Location: India
GPA: 3.82
GMAT ToolKit User Reviews Badge
Triangle ABC has sides Z, √Z and Z^2, where Z is an integer. What is  [#permalink]

Show Tags

New post 14 Sep 2017, 09:32
1
1
Mehed iHasan wrote:
Triangle ABC has sides Z, √Z and Z^2, where Z is an integer. What is the area of ABC?

A) √2
B) 2
C) 2√2
D) √3/4
E) √15/2


In any triangle sum of two sides is greater than the third side.
Here \(z+\sqrt{z}\) will never be greater than \(z^2\) as \(z\) is a positive integer; except for one possible solution.
The only possible solution is \(\sqrt{z}=z=z^2=1\).
That is the triangle is equilateral. Hence the area will be \(\sqrt{3}/4\)

Option D
Director
Director
avatar
P
Joined: 14 Nov 2014
Posts: 620
Location: India
GMAT 1: 700 Q50 V34
GPA: 3.76
Re: Triangle ABC has sides Z, √Z and Z^2, where Z is an integer. What is  [#permalink]

Show Tags

New post 14 Sep 2017, 10:38
only possible value of Z is 1 ..(Sum of two sides of triangle must be greater than 3rd side)
It forms a equilateral triangle

Area = √3/4
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11377
Re: Triangle ABC has sides Z, √Z and Z^2, where Z is an integer. What is  [#permalink]

Show Tags

New post 21 Sep 2018, 19:44
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: Triangle ABC has sides Z, √Z and Z^2, where Z is an integer. What is   [#permalink] 21 Sep 2018, 19:44
Display posts from previous: Sort by

Triangle ABC has sides Z, √Z and Z^2, where Z is an integer. What is

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


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