GRE Prep 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.
Rectangular region QRST is divided into four smaller rectangular regi
[#permalink]
27 Aug 2021, 10:13
27 Aug 2021, 10:13
2
Expert Reply
2
Bookmarks
00:00
Question Stats:
43% (01:16) correct
56% (01:57) wrong based on 23 sessions
Hide Show timer Statistics
Attachment:
GRE Rectangular region QRST is divided into four.jpg [ 10.94 KiB | Viewed 2004 times ]
Rectangular region QRST is divided into four smaller rectangular regions, each with length l and width w.
Quantity A |
Quantity B |
\(\frac{QR}{RS}\) |
\(\frac{3}{4}\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Rectangular region QRST is divided into four smaller rectangular regi
[#permalink]
30 Aug 2021, 04:11
30 Aug 2021, 04:11
2
Expert Reply
From the given figure
\(QR = 3w\) as the three rectangles are stacked on top of each other and the widths are added.
Also
\(ST = l =3w\)
Then
\(RS = l + w = 3w +w =4w\)
Then Qty A is:
\(\frac{QR }{ SR} = \frac{3w }{ 4w} = \frac{3}{4}\)
Hence the two quantities are equal and the answer is Option C
\(QR = 3w\) as the three rectangles are stacked on top of each other and the widths are added.
Also
\(ST = l =3w\)
Then
\(RS = l + w = 3w +w =4w\)
Then Qty A is:
\(\frac{QR }{ SR} = \frac{3w }{ 4w} = \frac{3}{4}\)
Hence the two quantities are equal and the answer is Option C
General Discussion
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Rectangular region QRST is divided into four smaller rectangular regi
[#permalink]
02 Sep 2021, 06:39
02 Sep 2021, 06:39
1
Carcass wrote:
Attachment:
GRE Rectangular region QRST is divided into four.jpg
Rectangular region QRST is divided into four smaller rectangular regions, each with length l and width w.
Quantity A |
Quantity B |
\(\frac{QR}{RS}\) |
\(\frac{3}{4}\) |
Let x = the width of each rectangle:
x + x + x = 3x.
So, RQ = 3x and ST = 3x
Now that we know each rectangle has the dimensions x by 3x, the diagram looks like this:
So we get...
QUANTITY A: \(\frac{QR}{RS}=\frac{3x}{3x + x}=\frac{3x}{4x}=\frac{3}{4}\)
QUANTITY B: \(\frac{3}{4}\)
Answer: C
