Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
06 Mar 2020, 08:51
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
63% (01:32) correct
38%
(02:19)
wrong
based on 40
sessions
History
Date
Time
Result
Not Attempted Yet
Attachment:
123.jpg [ 10.47 KiB | Viewed 1226 times ]
In the figure above, is AB equal in length to AC?
(1) \(x + y = z\)
(2) \(y = 180 - z\)
07 Mar 2020, 19:58
Kudos
Bookmarks
SajjadAhmad
Attachment:
123.jpg
In the figure above, is AB equal in length to AC?
(1) \(x + y = z\)
(2) \(y = 180 - z\)
I notice that the angles are labeled in the diagram, and that the statements mention the angles, not the side lengths. Based on this, I'm going to guess that this problem is testing the rule that says, in a triangle, two sides are equal in length if and only if the angles opposite them are equal to each other.
The angle opposite AC is y. The angle opposite AB isn't labeled, but based on the diagram, it's equal to 180-z. So, the question is really asking:
is y = 180-z?
I'm also going to jot down this equation, which might be useful: x + y + (180 - z) = 180, which simplifies to x + y - z = 0, or x + y = z. That's just based on the diagram again, because the sum of the angles in a triangle will always be 180.
(1) \(x + y = z\) I actually already knew this based on the diagram, so it doesn't give me any new information. So, it must be insufficient.
(2) \(y = 180 - z\) Nice! I rephrased the question earlier as "is y = 180-z?", and this statement gives me a definitive answer of "yes." So, this statement is sufficient.
The correct answer is B.
Moderator:
