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.
A circular tabletop is to be cut from a square piece of wood
[#permalink]
10 Dec 2019, 08:05
10 Dec 2019, 08:05
2
Expert Reply
8
Bookmarks
00:00
Question Stats:
75% (01:29) correct
24% (01:26) wrong based on 169 sessions
Hide Show timer Statistics
Attachment:
#greprepclub A circular tabletop is to be cut.png [ 4.82 KiB | Viewed 8983 times ]
A circular tabletop is to be cut from a square piece of wood as shown above.
Quantity A |
Quantity B |
Percent of the wood surface shown above that is not to be used for the tabletop |
25% |
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.
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
A circular tabletop is to be cut from a square piece of wood
[#permalink]
20 Apr 2022, 11:54
20 Apr 2022, 11:54
3
1
Bookmarks
Carcass wrote:
Attachment:
#greprepclub A circular tabletop is to be cut.png
A circular tabletop is to be cut from a square piece of wood as shown above.
Quantity A |
Quantity B |
Percent of the wood surface shown above that is not to be used for the tabletop |
25% |
Let's first assign a nice value to the radius of the circular table top.
Let's say the circular table top has a radius of 1
This means the DIAMETER of the circle = 1 + 1 = 2
This tells us that each side of the square piece of wood must have length 2
Area of the circle \(= \pi (radius)^2 = \pi (1)^2 = \pi ≈ 3.14\)
Area of square \(= side^2 = 2^2 = 4\)
So, the AREA of the wood surface we'll be removing = 4 - 3.14 ≈ 0.86
So, to find the PERCENT of the wood we'll be removing, we must take 0.86/4 and convert it to a percent.
However, since we already know that 1/4 = 25%, we can be certain that 0.86/4 equals some value less than 25%
We have:
QUANTITY A: some value less than 25%
QUANTITY B: 25%
Answer: B
General Discussion
Re: A circular tabletop is to be cut from a square piece of wood
[#permalink]
14 Dec 2019, 02:56
14 Dec 2019, 02:56
2
Let Side of square = a
Radius of circle = r --> a = 2r
area of square - area of circle
4r^2 - (pi)r^2 --> (pi = 3.14 approx)
= 0.86r^2 --> A
25% of area of square = (1/4)4r^2 = r^2 --> B
B is greater. Hence, B is the Answer.
Radius of circle = r --> a = 2r
area of square - area of circle
4r^2 - (pi)r^2 --> (pi = 3.14 approx)
= 0.86r^2 --> A
25% of area of square = (1/4)4r^2 = r^2 --> B
B is greater. Hence, B is the Answer.
