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.
May 0312:30 AM EDT
-01:30 AM EDT
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
May 0301:30 AM EDT
-02:30 AM EDT
Struggling to find the right strategies to score a 99 %ile on GMAT Focus? Riya (GMAT 715) boosted her score by 100-points in just 15 days! Discover how the right mentorship, tailored strategies, and an unwavering mindset can transform your GMAT prep.
May 0306:30 AM PDT
-08:30 AM PDT
Verbal trouble on GMAT? Fix it NOW! Join Sunita Singhvi for a focused webinar on actionable strategies to boost your Verbal score and take your performance to the next level.
May 0510:00 AM PDT
-11:00 AM PDT
GMAT Inequalities is a high-frequency topic in GMAT Quant, but many students struggle because the concepts behave differently from standard algebra. Understanding the right rules, patterns, and edge cases can significantly improve both speed and accuracy.
May 0612:30 AM EDT
-01:30 AM EDT
GMAT 615 to 715 in Just 15 Days! Riya’s 100-pt Improvement Strategy- May 06
08:30 AM PDT
-09:30 AM PDT
In Episode 3 of our GMAT Ninja Critical Reasoning series, we tackle Discrepancy, Paradox, and Explain an Oddity questions. You know the feeling: the passage gives you two facts that seem completely contradictory.... - May 08
08:00 AM PDT
-08:30 AM PDT
Join the special YouTube live-stream for selecting the winners of GMAT Club MBA Scholarships sponsored by Juno live. Watch who gets these coveted MBA scholarships offered by GMAT Club and Juno.
25 Aug 2021, 08:00
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
42% (01:56) correct
58%
(02:17)
wrong
based on 137
sessions
History
Date
Time
Result
Not Attempted Yet
An yellow semicircle and its tangent blue quarter-circle are drawn in a square as shown above. If AB is tangent to both yellow semicircle and blue quarter-circle, what is the length of AB ?
A. 10
B. 12
C. 14
D. 16
E. 18
M37-24
|
M37-24
Attachment:
Untitled14.png
Experience GMAT Club Test Questions
Yes, you've landed on a GMAT Club Tests question
Craving more? Unlock our full suite of GMAT Club Tests here
Want to experience more? Get a taste of our tests with our free trial today
Rise to the challenge with GMAT Club Tests. Happy practicing!
25 Aug 2021, 08:30
Kudos
Bookmarks
Itried to explain in the photo below.
My answer is E
My answer is E
Attachments
20.jpg [ 94.55 KiB | Viewed 4720 times ]
22 Nov 2021, 05:06
Kudos
Bookmarks
Official Solution:
An yellow semicircle and its tangent blue quarter-circle are drawn in a square as shown above. If AB is tangent to both yellow semicircle and blue quarter-circle, what is the length of AB ?
A. \(10\)
B. \(12\)
C. \(14\)
D. \(16\)
E. \(18\)
Join the centers of the circles and the tangency points (recall that the radius of a circle is perpendicular to the tangent line). This would mean that CD is a straight line. Since CD equals to the radius of the semicircle plus the radius of the quarter circle, then \(CD = 6 + 12= 18\)
Draw line segment AE perpendicular to FD.
In a right triangle BGD, \(\angle BDG+\angle GBD =90°\).
In a right triangle CFD, \(\angle BDG+\angle DCF=90°\). So, \(\angle GBD=\angle DCF\).
In a right triangle ABE, \(\angle BAE+\angle GBD=90°\). So, \(\angle BAE=\angle BDG\).
So, two right tringles ABE and DCF are congruent: all angles are equal AND \(AE = DF = side \ of \ the \ square\). Therefore, the hypotenuses of these triangles must be equal: \(AB = CD = 18\)
Answer: E
An yellow semicircle and its tangent blue quarter-circle are drawn in a square as shown above. If AB is tangent to both yellow semicircle and blue quarter-circle, what is the length of AB ?
A. \(10\)
B. \(12\)
C. \(14\)
D. \(16\)
E. \(18\)
Join the centers of the circles and the tangency points (recall that the radius of a circle is perpendicular to the tangent line). This would mean that CD is a straight line. Since CD equals to the radius of the semicircle plus the radius of the quarter circle, then \(CD = 6 + 12= 18\)
Draw line segment AE perpendicular to FD.
In a right triangle BGD, \(\angle BDG+\angle GBD =90°\).
In a right triangle CFD, \(\angle BDG+\angle DCF=90°\). So, \(\angle GBD=\angle DCF\).
In a right triangle ABE, \(\angle BAE+\angle GBD=90°\). So, \(\angle BAE=\angle BDG\).
So, two right tringles ABE and DCF are congruent: all angles are equal AND \(AE = DF = side \ of \ the \ square\). Therefore, the hypotenuses of these triangles must be equal: \(AB = CD = 18\)
Answer: E
