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 water tank has
[#permalink]
15 Apr 2021, 02:18
15 Apr 2021, 02:18
Expert Reply
4
Bookmarks
00:00
Question Stats:
54% (03:00) correct
45% (02:49) wrong based on 22 sessions
Hide Show timer Statistics
A water tank has \(6 m^3\) of water. The tank has one outlet drawing water at a different rate based on the user's need. If the tap is allowed to supply water at a constant rate of flow for two days, identify their rates that would reduce the water by more than a third of the initial capacity within that period of time
Select all that apply
A. \(16 cm^3/s\)
B. \(10 cm^3/s\)
C. \(12 cm^3/s\)
D. \(14 cm^3/s\)
E. \(9.5 cm^3/s\)
F. \(9 cm^3/s\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Select all that apply
A. \(16 cm^3/s\)
B. \(10 cm^3/s\)
C. \(12 cm^3/s\)
D. \(14 cm^3/s\)
E. \(9.5 cm^3/s\)
F. \(9 cm^3/s\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: A water tank has
[#permalink]
16 Apr 2021, 21:15
16 Apr 2021, 21:15
1
Carcass wrote:
A water tank has \(6 m^3\) of water. The tank has one outlet drawing water at a different rate based on the user's need. If the tap is allowed to supply water at a constant rate of flow for two days, identify ther rates that would reduce the water by more than a third of the initial capacity within that period of time
Select all that apply
A. \(16 cm^3/s\)
B. \(10 cm^3/s\)
C. \(12 cm^3/s\)
D. \(14 cm^3/s\)
E. \(9.5 cm^3/s\)
F. \(9 cm^3/s\)
Select all that apply
A. \(16 cm^3/s\)
B. \(10 cm^3/s\)
C. \(12 cm^3/s\)
D. \(14 cm^3/s\)
E. \(9.5 cm^3/s\)
F. \(9 cm^3/s\)
Carcass
Beautiful question
This question has a sole purpose to waste our time on the test!
reduce the water by more than a third of the initial capacity within that period of time
i.e. more than \(\frac{1}{3}(6) m^3\) in \(2\) days or more than \(2 m^3\) of water in \(2\) days
Let us calculate the rate;
Work = \(2(10^6)cm^3\)
Time = \((2)(24)(3600)sec\)
Rate = \(\frac{2(10^6)}{(2)(24)(3600)} = 11.57cm^3/sec\)
This means we require a rate which is greater than \(11.57cm^3/sec\)
Hence, option A, C, and D
General Discussion
Re: A water tank has
[#permalink]
16 Apr 2021, 00:59
16 Apr 2021, 00:59
1
6m cube can be converted to cm cube, that would be 6x100x100x100 cm^3 = 60,00,000 cm^3
the question says "choose the rates at which the tank would be emptied 1/3rd of the initial capacity which means we need to select rates at which the the water would be emptied more than 60,00,000/2 = 20,00,000 cm^3
in 2 days there are 172800 seconds, and if the outlets empty the water at a constant rate
a) would empty 172800x16= 27,64,800 cm^3 of the tank
b) would empty 172800x10 = 172800 cm^3 of the tank ( this way you can rule out 9 and 9.5 from the option)
c)would empty 172800x12 = 20,73,600 of the tank ( d can be included in the option since outlet c having lesser rate than d empties more than 1/3rd of the tank)
There's absolutely no need to solve each and every bit. you need to eliminate the options based on minimal common sense. this would save a lot of time on the main exam .
Regards,
sumi
the question says "choose the rates at which the tank would be emptied 1/3rd of the initial capacity which means we need to select rates at which the the water would be emptied more than 60,00,000/2 = 20,00,000 cm^3
in 2 days there are 172800 seconds, and if the outlets empty the water at a constant rate
a) would empty 172800x16= 27,64,800 cm^3 of the tank
b) would empty 172800x10 = 172800 cm^3 of the tank ( this way you can rule out 9 and 9.5 from the option)
c)would empty 172800x12 = 20,73,600 of the tank ( d can be included in the option since outlet c having lesser rate than d empties more than 1/3rd of the tank)
There's absolutely no need to solve each and every bit. you need to eliminate the options based on minimal common sense. this would save a lot of time on the main exam .
Regards,
sumi
