1.A completes 2/3 of a certain job in 6 days. B can complete 1/3 of the same job in 8 days
and C can complete 3/4 of the work in 12 days.
All of them work together for 4 days and then A and C quit. How long will it take for B to complete the remaining work alone?
(a) 3.8 days
(b) 3.33 days
(c) 2.22 days
(d) 4.3 days
2.A, B and C working together completed a job in 10 days. However, C only worked for the first three days when
37/100 of the job was done. Also, the work done by A in 5 days is equal to the work done by B in 4 days. How many days would be required by the fastest worker to
complete the entire work?
(a) 20 days
(b) 25 days
(c) 30 days
(d) 40 days
3.Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together,
they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour?
(a) 16.66%
(b) 33.33%
(c) 50%
(d) 66.66%
4.Two men and a woman are entrusted with a task. The
second man needs three hours more to cope with the job than the first man and
the woman would need working together. The first man, working alone, would need
as much time as the second man and the woman working together. The first man,
working alone, would spend eight hours less than the double period of time the
second man would spend working alone. How much time would the two men and the
woman need to
complete the task if they all worked together?
(a) 2 hours
(b) 3 hours
(c) 4 hours
(d) 5 hours
5.A tank of 3600 cu m capacity is being filled with
water. The delivery of the pump discharging the tank is 20% more than the
delivery of the pump filling the same tank. As a result, twelve minutes more
time is needed to fill the tank than to discharge it. Determine the delivery of
the pump discharging the tank.
(a) 40 m3/min
(b) 50 m3/min
(c) 60 m3/min
(d) 80 m3/min