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.
Jul 0608:00 AM PDT
-05:00 PM PDT
Compete to win some amazing Prizes such as Admissions Consulting Packages, Courses, and more. This is your Best Opportunity to improve your GMAT Score! Register to Participate
Jul 0810:00 AM EDT
-11:59 PM EDT
Receive 2 FREE hours of tutoring when you enroll in a 655+ course
Jul 1010:00 AM IST
-11:00 PM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.
Jul 1012:00 PM PDT
-11:59 PM PDT
50% off all study plans with code PROGRESS - Expires Monday 7/13
Jul 1209:30 AM EDT
-12:30 PM EDT
Increase your score with a powerful GMAT course taught live online + 6 months of access to TTP OnDemand GMAT Masterclass included! Sundays July 12, 2026-October 1, 2026, 9:30am-12:30pm EST.- Jul 12
11:00 AM PDT
-12:00 PM PDT
Join us in a GMAT practice session and solve 25 challenging GMAT questions with other test takers in timed conditions, covering GMAT Quant, Data Sufficiency, Data Insights, Reading Comprehension, and Critical Reasoning questions. - Jul 14
07:30 AM PDT
-08:30 AM PDT
In this live AMA, Ruthvik shares how he scored a 745 on the GMAT and answers questions from students directly. From the mindset that kept him consistent to the way he approached mocks and managed test-day nerves..
08 Jan 2023, 08:27
Kudos
Bookmarks
C
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:
49% (02:32) correct
51%
(02:29)
wrong
based on 90
sessions
History
Date
Time
Result
Not Attempted Yet
The vertices of rectangle ABCD are (12,5), (-12,5), (-12,-5) and (12,-5). What is the approximate probability that the coordinate of a random point within the rectangle is such that x^2 + y^2 < 25?
A. 12.5%
B. 25%
C. 33%
D. 40%
E. 50%
A. 12.5%
B. 25%
C. 33%
D. 40%
E. 50%
08 Jan 2023, 09:23
Kudos
Bookmarks
Bunuel
\( x^2 + y^2 = 25\) represents a circle with radius 5 and center at (0,0).
We can plot the rectangle ABCD as shown.
Probability = Area of Favorable Region / Area of Total Region
Required Probability = \(\frac{\pi * (5)^2 }{ 24 * 10} * 100\)
We can approximate the value to ease out the simplification.
Approx. 33%
Option C
Attachments
Screenshot 2023-01-08 215053.jpg [ 73.86 KiB | Viewed 2059 times ]
16 Jun 2024, 05:30
Kudos
Bookmarks
Given: The vertices of rectangle ABCD are (12,5), (-12,5), (-12,-5) and (12,-5).
Asked: What is the approximate probability that the coordinate of a random point within the rectangle is such that x^2 + y^2 < 25?
Area of rectangle ABCD = 24*10 = 240
Random point lies within a circle with center at origin (0,0) and radium = 5
Area of circle that lies completely within rectangle ABCD = \(\pi 5^2 = 25\pi\)
The approximate probability that the coordinate of a random point within the rectangle is such that x^2 + y^2 < 25 =\( 25\pi/240 = 25*22/7*240 = .3273 = 32.73% = 33%\)
IMO C
Asked: What is the approximate probability that the coordinate of a random point within the rectangle is such that x^2 + y^2 < 25?
Area of rectangle ABCD = 24*10 = 240
Random point lies within a circle with center at origin (0,0) and radium = 5
Area of circle that lies completely within rectangle ABCD = \(\pi 5^2 = 25\pi\)
The approximate probability that the coordinate of a random point within the rectangle is such that x^2 + y^2 < 25 =\( 25\pi/240 = 25*22/7*240 = .3273 = 32.73% = 33%\)
IMO C
