1) B and C are equally efficient, but
the efficiency of A is half of each B and C. A and B started a work and 3 days later C joined them.
If A alone can do the work in 14 days, then in how

many more days the work will be
completed?

a) 1

b) 2

c) 3

d) 4.

e) None of these

2) A and B together can complete a
piece of work in 4 days. If A alone can complete the same

work in 12 days, in how many days can B
alone complete that work?

a) 6 days

b) 12

c) 8 days

d) 9 days

e) None of these

3) 4 men and 2 boys can finish a piece
of work in 5 days. 3 women and 4 boys can finish the

same work in 5 days. Also 2 men and 3
women can finish the same work in 5 days. In how

many days 1 man, 1 woman and one boy
can finish the work, at their double efficiency?

a) 4

b) 4

c) 3

d) Data inadequate

e) None of these

4) A and B undertake to do a piece of
work for Rs.600. A alone can do it in 6 days while B alone

can do it in 8 days. With the help of
C, they finish it in 3 days. Find the share of each.

a) Rs.80

b) Rs.75

c) Rs.90

d) Rs.82

e) None of these

5) Tap A can fill the empty tank in 12
hours, but due to a leak in the bottom it is filled in 15

hours, if the tank is full and then tap
A is closed then in how many hours the leak can empty

it?

a) 45 hours

b) 48 hours

c) 52 hours

d) 60 hours

e) None of these

6) A is twice as good a workman as B
and together they finish a piece of work in 18 days. In

how many days will A alone finish the
work?

a) 72 days

b) 30 days

c) 27 days

d) 32 days

e) None of these

7) Pipe A basically used as inlet pipe
and pipe B is used as outlet pipe. Pipes A and B both are

opened simultaneously, all the time.
When pipe A fills the tank and B empty the tank, it will

take double the time than when both the
pipes fill the tank. When pipe B is used for filling the

tank, its efficiency remains constant.
What is the ratio of efficiency of pipe A and pipe B

respectively?

a) 3 : 1

b) 5 : 2

c) 1 : 3

d) 3 : 2

e) None of these

8) 45 men can complete a work in 16
days. Six days after they started working. 30 more men

joined them. How many days will they
now take to complete the remaining work?

a) 18 days

b) 12 days

c) 9 days

d) 6 days

e) None of these

9) Two pipes A and B can fill a cistern
in 15 hours and 10 hours respectively. A tap C can empty

the full cistern in 30 hours. All the
three taps were open for 2 hours, when it was remembered

that the emptying tap had been left
open. It was then closed. How many hours more would it

take for the cistern to be filled?

a) 30 min.

b) 1.2 hours

c) 24 min.

d) 35 min.

e) None of these

10) A tyre has two punctures. The first
puncture alone would have made the tyre flat in 9 minutes

and the second alone would have done it
in 6 minutes. If air leaks out at a constant rate, how

long does it take both the punctures
together to make it flat?

a) 1

b) 3

c) 3

d) 4

e) None of these