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!
15 Aug 2019, 06:49
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
57% (02:18) correct
43%
(02:53)
wrong
based on 130
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure above, points A, B, C, D, E and F lie on a line. If point A lies on the square, point B lies on the circle, point C bisects AF, point D is the center of the circle, point E bisects DF, and point F lies on the circle and on the square, what is the difference in area between the square and the circle?
(1) AB = 6 and BC = 4
(2) AB = 6 and EF = 3.5
Attachment:
image529.png [ 13.81 KiB | Viewed 3493 times ]
Updated on: 15 Aug 2019, 10:41
Originally posted by Archit3110 on 15 Aug 2019, 10:13.
Last edited by Archit3110 on 15 Aug 2019, 10:41, edited 1 time in total.
Last edited by Archit3110 on 15 Aug 2019, 10:41, edited 1 time in total.
Kudos
Bookmarks
Bunuel
In the figure above, points A, B, C, D, E and F lie on a line. If point A lies on the square, point B lies on the circle, point C bisects AF, point D is the center of the circle, point E bisects DF, and point F lies on the circle and on the square, what is the difference in area between the square and the circle?
(1) AB = 6 and BC = 4
(2) AB = 6 and EF = 3.5
Attachment:
image529.png
from #1
we get length of square = 20 and diameter of circle ; sufficient
from #2 we get radius of circle and length of square ; sufficient
IMO D
15 Aug 2019, 10:37
Kudos
Bookmarks
Bunuel
In the figure above, points A, B, C, D, E and F lie on a line. If point A lies on the square, point B lies on the circle, point C bisects AF, point D is the center of the circle, point E bisects DF, and point F lies on the circle and on the square, what is the difference in area between the square and the circle?
(1) AB = 6 and BC = 4
(2) AB = 6 and EF = 3.5
Attachment:
image529.png
Given:
1. In the figure above, points A, B, C, D, E and F lie on a line.
2.Point A lies on the square, point B lies on the circle, point C bisects AF, point D is the center of the circle, point E bisects DF, and point F lies on the circle and on the square,
Asked: What is the difference in area between the square and the circle?
Let us assume side of the square = a
and radius of the circle = r
If we can derive a & r, then difference in area between the square and the circle = \(a^2 - \pi * r^2\)
(1) AB = 6 and BC = 4
AC = AB + BC = 6+4 = 10
AF = 2 * AC = 20 = a
Since BF = diameter of the circle = AF - AB = 20 -6 =14
r = 14/2 = 7
Difference in area between the square and the circle = \(a^2 - \pi * r^2 = 20^2 - \pi * 7^2 = 400 - 49 \pi\)
SUFFICIENT
(2) AB = 6 and EF = 3.5
EF = DF/2 = radius /2 = 3.5
r = 2 *3.5 = 7
a = AB + 2r = 6 + 14 = 20
Difference in area between the square and the circle = \(a^2 - \pi * r^2 = 20^2 - \pi * 7^2 = 400 - 49 \pi\)
SUFFICIENT
IMO D
