NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 04:06 It is currently 24 Apr 2024, 04:06
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Is triangle XYZ an equilateral triangle?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92901
Own Kudos [?]: 618699 [0]
Given Kudos: 81586
Send PM
CAT Tests Forum Quiz Mode
Is triangle XYZ an equilateral triangle? [#permalink] New post   24 Aug 2018, 05:18
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

76% (00:42) correct 24% (00:34) wrong based on 68 sessions
Hide Show timer Statistics
Is triangle XYZ an equilateral triangle?

(1) Angle X is 60°.
(2) Side XY is equal to side YZ.
ShowHide Answer
Official Answer
C
User avatar
L
Chethan92
Director
Director
Joined: 18 Jul 2018
Posts: 926
Own Kudos [?]: 1288 [0]
Given Kudos: 95
Location: India
Concentration: Operations, General Management
Schools: IIMB EPGP'22 (M)
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE:Engineering (Energy and Utilities)
Send PM
Reviews Badge
Re: Is triangle XYZ an equilateral triangle? [#permalink] New post   24 Aug 2018, 05:23
Statement 1 is insufficient.
No idea about angles X and Y.

From 2: It can be either isoscles or equilateral.

Combining 1&2 is suficient.

C is the answer

Posted from my mobile device
User avatar
B
sumit411
Manager
Manager
Joined: 07 Oct 2017
Posts: 218
Own Kudos [?]: 213 [0]
Given Kudos: 3
Send PM
Re: Is triangle XYZ an equilateral triangle? [#permalink] New post   24 Aug 2018, 05:28
Bunuel wrote:
Is triangle XYZ an equilateral triangle?

(1) Angle X is 60°.
(2) Side XY is equal to side YZ.
St1: it can be any triangle as we have restricted only one angle. Other angles can be 60,60 or 40,20

St2: it can be an isosceles triangle or an equilateral triangle.

Combining
Sufficient
C

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Own Kudos [?]: 16832 [0]
Given Kudos: 165
Send PM
Re: Is triangle XYZ an equilateral triangle? [#permalink] New post   24 Aug 2018, 09:56
Expert Reply

Solution



To find:
    • If triangle XYZ is an equilateral triangle or not

Approach and Working:
    • In equilateral triangle,
    o All sides are equal
    o All angles are equal to 60 degrees

Analysing Statement 1
    • We are given that ∠X = 600
    • We do not have information about any other angle
Therefore, Statement 1 alone is not sufficient to answer this question

Analysing Statement 2
    • We are given that XY = YZ
    • We do not have any information about the third side, ZX
Therefore, Statement 2 alone is not sufficient to find an answer.

Combining Both Statements
    • Combining both the statements, we get
    o XY = YZ, implies ∠Y = ∠Z, and
    o ∠X = 60 degrees, implies ∠Y + ∠Z = 180 – 60 = 120 degrees
    o From the above two equations, we get, ∠Y = ∠Z = 60 degrees
Thus, Statement (1) and (2) TOGETHER are sufficient to answer the question

Hence, the correct answer is option C.

Answer: C

User avatar
G
CounterSniper
Director
Director
Joined: 20 Feb 2015
Posts: 631
Own Kudos [?]: 711 [0]
Given Kudos: 74
Concentration: Strategy, General Management
Send PM
Re: Is triangle XYZ an equilateral triangle? [#permalink] New post   25 Aug 2018, 10:58
Bunuel wrote:
Is triangle XYZ an equilateral triangle?

(1) Angle X is 60°.
(2) Side XY is equal to side YZ.




(1) Angle X is 60°.
no information on sides .
Y+Z =120
insufficient

(2) Side XY is equal to side YZ.
The triangle can be an isosceles or an equilateral triangle
insufficient.

using both the statements.
x=z=60
y=180-120=60
x=y=z=60
sufficient
GMAT Club Bot
gmatclubot
Re: Is triangle XYZ an equilateral triangle? [#permalink]
25 Aug 2018, 10:58
Moderator:
Bunuel
Math Expert
92901 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions