November 22 , 2018
November 22 , 2018
10:00 PM PST
11:00 PM PST
Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
November 24 , 2018
November 24 , 2018
07:00 AM PST
09:00 AM PST
Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
Author
Message
TAGS:
Current Student
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 1120
Location: India
WE: General Management (Aerospace and Defense)
Region Q, shown here, is defined by
[#permalink ]
Show Tags
D
E
Add Notes
Question Stats:
48% (01:57) correct
52% (02:01) wrong
based on 132 sessions
Hide Show timer Statistics
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
Capture.PNG [ 25.12 KiB | Viewed 1615 times ]
Official Answer and Stats are available only to registered users.
Register /
Login .
_________________
Become a GMAT Club Premium member to avail lot of discounts
Math Expert
Joined: 02 Aug 2009
Posts: 7044
Re: Region Q, shown here, is defined by
[#permalink ]
Show Tags
Gnpth wrote:
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
The attachment Capture.PNG is no longer available
Look at the attached figure..
Ans C
Join the parallel lines as shown..
Attachments
IMG_20171126_151118.jpg [ 1.48 MiB | Viewed 1557 times ]
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
Intern
Joined: 15 Oct 2017
Posts: 30
Location: Ireland
Concentration: Healthcare, Finance
Re: Region Q, shown here, is defined by
[#permalink ]
Show Tags
Gnpth wrote:
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
The attachment Capture.PNG is no longer available
As we can see the point (6,4) is a centre of the circle. The dash line is a radius wchich is
10 . Circle area =\(\pi * r^2\) \(= 100 *\pi\) =
300 The shaded region is around \(\frac{2}{3}\) of the circle area => \(\frac{2}{3} * 300 = 200\)
Hence, the answer is
C
Attachments
circle1.jpg [ 20.07 KiB | Viewed 1531 times ]
Intern
Joined: 24 Jun 2017
Posts: 6
Re: Region Q, shown here, is defined by
[#permalink ]
Show Tags
Vorovski wrote:
Gnpth wrote:
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
Capture.PNG
As we can see the point (6,4) is a centre of the circle. The dash line is a radius wchich is
10 . Circle area =\(\pi * r^2\) \(= 100 *\pi\) =
300 The shaded region is around \(\frac{2}{3}\) of the circle area => \(\frac{2}{3} * 300 = 200\)
Hence, the answer is
C Can you eloborate how you arrived at 2/3??
Intern
Joined: 24 Jun 2017
Posts: 6
Re: Region Q, shown here, is defined by
[#permalink ]
Show Tags
chetan2u wrote:
Gnpth wrote:
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
Capture.PNG
Look at the attached figure..
Ans C
Join the parallel lines as shown..
Expert can you post a clear cut solution... image is not that clear?
Intern
Joined: 15 Oct 2017
Posts: 30
Location: Ireland
Concentration: Healthcare, Finance
Re: Region Q, shown here, is defined by
[#permalink ]
Show Tags
Bhadri1199 wrote:
Vorovski wrote:
Gnpth wrote:
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
Capture.PNG
As we can see the point (6,4) is a centre of the circle. The dash line is a radius wchich is
10 . Circle area =\(\pi * r^2\) \(= 100 *\pi\) =
300 The shaded region is around \(\frac{2}{3}\) of the circle area => \(\frac{2}{3} * 300 = 200\)
Hence, the answer is
C Can you eloborate how you arrived at 2/3??
The shaded region is around 70% of the circle and 70% is around 2/3.
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8580
Location: Pune, India
Re: Region Q, shown here, is defined by
[#permalink ]
Show Tags
Gnpth wrote:
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
Capture.PNG
The shaded region could be seen as sum of three areas: a quarter of a circle and two rectangles (the shaded region is a bit less)
Area of quarter of a circle \(= (\pi * r^2)/4 = (3.14 * 10^2)/4 = 314/4 = 75\) approx
Area of each rectangle \(= 16*4 + 6*10 = 124\)
So total shaded area will be a bit less than 75 + 124 = 199
The reduced area at the top of the top rectangle is less than 6*2/2 = 6
The reduced area at the right of the lower triangle will be even less.
Answer (C)
_________________
KarishmaGMAT Prep Options > ORION
Intern
Joined: 21 Feb 2017
Posts: 4
Re: Region Q, shown here, is defined by
[#permalink ]
Show Tags
A simpler approach- I drew a square around the entire shaded region, the length is 16 and the height is 14, 16x14 = 224, the shaded region would slightly be less than 224, giving you an answer of C
Intern
Joined: 22 Aug 2018
Posts: 9
Re: Region Q, shown here, is defined by
[#permalink ]
Show Tags
Interesting question. However can someone please clarify if this kind of question is indeed it in the scope of GMAT exam?
Re: Region Q, shown here, is defined by &nbs
[#permalink ]
03 Nov 2018, 02:51
close
48% (01:57) correct 
