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

 It is currently 22 Oct 2019, 06:50 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

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.  What is the value of z in the triangle above?

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

Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 58428
What is the value of z in the triangle above?  [#permalink]

Show Tags

1
1 00:00

Difficulty:   5% (low)

Question Stats: 88% (00:33) correct 12% (00:41) wrong based on 1233 sessions

HideShow timer Statistics

The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Attachment: Triangle.png [ 7.76 KiB | Viewed 18920 times ]
What is the value of z in the triangle above?

(1) x+y=139
(2) y +z= 108

Practice Questions
Question: 56
Page: 279
Difficulty: 550

GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

_________________
Math Expert V
Joined: 02 Sep 2009
Posts: 58428
Re: What is the value of z in the triangle above?  [#permalink]

Show Tags

2
1
SOLUTION What is the value of z in the triangle above?

The interior angles of a triangle always add up to 180°. Thus x+y+z=180°.

(1) x+y=139 --> 139+z=180 --> z=41. Sufficient.

(2) y +z= 108. Cannot determine the value of z. Not sufficient.

_________________
Senior Manager  Joined: 15 Jun 2010
Posts: 276
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Re: What is the value of z in the triangle above?  [#permalink]

Show Tags

2
St 1: Sufficient: x+y=139, therefore Z= 180-139
St 2: Insufficient: y+z=108, the value of x can be found, but we can not get a definite value of z.

_________________
Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html
Senior Manager  B
Joined: 24 Aug 2009
Posts: 445
Schools: Harvard, Columbia, Stern, Booth, LSB,
Re: What is the value of z in the triangle above?  [#permalink]

Show Tags

1
z = ?
1) z = 180 - (x+y) = 180 - 139 -->Sufficient
2) y+z = 108 --->z can take different values --->Not Sufficient

_________________
If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply
Senior Manager  Joined: 31 Oct 2011
Posts: 477
Schools: Johnson '16 (M)
GMAT 1: 690 Q45 V40 WE: Asset Management (Mutual Funds and Brokerage)
Re: What is the value of z in the triangle above?  [#permalink]

Show Tags

3
Total measure of the sum of a triangle's interior = 180.

1) x + y + z = 180
139 + z = 180
z = 41 Sufficient

2)x + y + z = 180
x + 108 = 180
x = 72, but we are not sure of the split between y and z, so this is Insufficient

_________________
My Applicant Blog: http://hamm0.wordpress.com/
Math Expert V
Joined: 02 Sep 2009
Posts: 58428
Re: What is the value of z in the triangle above?  [#permalink]

Show Tags

2
SOLUTION What is the value of z in the triangle above?

The interior angles of a triangle always add up to 180°. Thus x+y+z=180°.

(1) x+y=139 --> 139+z=180 --> z=41. Sufficient.

(2) y +z= 108. Cannot determine the value of z. Not sufficient.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________
Intern  Joined: 10 Sep 2015
Posts: 14
Re: What is the value of z in the triangle above?  [#permalink]

Show Tags

Z===180-(X+y)
for finding Z we need Sum of X and Y

statement 1: X+Y == given , sufficient
Statement 2; Y+Z ==given , can not find X+y , insufficient

Hence A
Manager  G
Joined: 18 Jan 2017
Posts: 127
Re: What is the value of z in the triangle above?  [#permalink]

Show Tags

Sum of a triangle's interior angles= 180.

1) x + y + z = 180
z = 180 - 139
z = 41.

Hence, A is sufficient to find z.

2) y + z= 108
When we solve the equation we could only find x.

x + y + z = 180
x + 108 = 180
x = 72.

Using the info here we can't find the value of z since we don't know how y and z form 108. so this information is Insufficient

Hence, the answer is A. Only 1 is sufficient.

Hope that helps.

Shower me with Kudos if this helps you understand the problem. :D
_________________
A KUDO = A Thank-you. If this post helped you, please send a KUDO across.

YOU CAN LEARN ANYTHING!
MY GMAT BLOG ---> https://gmatclub.com/forum/a-fitness-mat-some-music-few-books-and-the-gmat-245808.html
Intern  B
Joined: 08 Aug 2018
Posts: 1
Re: What is the value of z in the triangle above?  [#permalink]

Show Tags

(1) x+y=139

180 - 139 = 41 z=41 sufficient

(2) y +z= 108

180 -108 = 72 x= 72 it doesnt give you the value of z
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4017
Re: What is the value of z in the triangle above?  [#permalink]

Show Tags

Top Contributor
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Attachment:
Triangle.png
What is the value of z in the triangle above?

(1) x + y = 139
(2) y + z = 108

Target question: What is the value of z in the triangle above?
IMPORTANT: Since angles in a triangle must add to 180 degrees, we can write: x + y + z = 180

Statement 1: x + y = 139
Take: x + y + z = 180 and replace (x + y) with 139 to get: 139 + z = 180
Solve equation for z to get: z = 41
So, the answer to the target question is z = 41
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: y + z = 108
Take: x + y + z = 180 and replace (y + z) with 108 to get: x + 108 = 180
Solve equation for x to get: x = 72
Hmmm, we know the value of x, but we have no way to find the value of z.
So, statement 2 is NOT SUFFICIENT

If you're not convinced, consider the following scenarios that satisfy statement 2:
Case a: x = 72, y = 50 and z = 58. In this case, the answer to the target question is z = 58
Case b: x = 72, y = 60 and z = 48. In this case, the answer to the target question is z = 48
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Cheers,
Brent
_________________ Re: What is the value of z in the triangle above?   [#permalink] 21 Jan 2019, 07:43
Display posts from previous: Sort by

What is the value of z in the triangle above?

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

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