# Quantitative aptitude CAT 2021 preparation

1. In the ancient city of Portheus, the emperor has in-
stalled an overhead tank that is filled by two pumps
X and Y. X can fill the tank in 12 hours while y
can fill the tank in 15 hours. There is a pipe Z which
can empty the tank in 10 hours. Both the pumps are
opened simultaneously. The supervisor of the tank,
before going out on a work, asks his assistant to open
Z when the tank is exactly 40% filled so that tank is
exactly filled up by the time he is back. If he starts
X and Y at exactly 11:00 AM and he comes back at
A:B. Then find the value of A+ B.
2. Due to a miscalculation by the assistant, he opens Z
when the tank is one fourth filled. If the supervisor
comes back as per the plan what percent of the tank
is still empty?
3. Three students A,B and C were working on a project.
A is 40% more efficient than B, who is 40% more
efficient than C. A takes 10 days less than B to
complete the project. A starts the project and works
for 10 days and then B takes over. B works on the
project for the next 14 days and then stops the work,
handing it over to C to complete it. In how many
days, would C complete the remaining project?

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