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.
GRE Math Challenge #43-recipe makes enough batter for exact
[#permalink]
19 Sep 2014, 03:29
19 Sep 2014, 03:29
Expert Reply
00:00
Question Stats:
57% (01:03) correct
42% (00:47) wrong based on 14 sessions
Hide Show timer Statistics
A certain recipe makes enough batter for exactly 8 circular pancakes that are each 10 inches in diameter. How many circular pancakes, each 5 inches in diameter & of the same thickness as the 10-inche pancakes, should the recipe make?
A. 4
B. 16
C. 24
D. 32
E. 40
A. 4
B. 16
C. 24
D. 32
E. 40
Re: GRE Math Challenge #43-recipe makes enough batter for exact
[#permalink]
06 Apr 2020, 10:03
06 Apr 2020, 10:03
Expert Reply
Given: Cake diameter = 10 so radius = 5.
Volume of a single cake would be pi*r^2*h = Pi*25*h = A ( assigned some constant)
So total batter that we have is 8A. (given that we can make 8 cakes)
Now for the volume of smaller cake: Diameter = 5, so radius = 5/2.
Volume of single cake is pi * r^2*h = pi*(25/4)*h. (height is same as the old cake).
volume of Small cake = A/4.
Number of small cakes that could me made = total batter / Volume of small cake -> 8A/A/4 -> 32.
Volume of a single cake would be pi*r^2*h = Pi*25*h = A ( assigned some constant)
So total batter that we have is 8A. (given that we can make 8 cakes)
Now for the volume of smaller cake: Diameter = 5, so radius = 5/2.
Volume of single cake is pi * r^2*h = pi*(25/4)*h. (height is same as the old cake).
volume of Small cake = A/4.
Number of small cakes that could me made = total batter / Volume of small cake -> 8A/A/4 -> 32.
gmatclubot
Re: GRE Math Challenge #43-recipe makes enough batter for exact [#permalink]
06 Apr 2020, 10:03
Moderators:
