Averages
Agenda
Averages, mixtures & allegations
Average & weighted average
Problems on averages & weighted average
Mixtures & allegations
Problems on mixtures & alligations
Average & weighted average
Question 1
Mani can complete a piece of work in 12 days while Seema can the same work
in 18 days. If they both work together, then how many days will be required to
finish the work?
A. 6
B. 22
C. 9
D. 7.2
Question 2
Keerthi takes 8 hours to do a certain task while Raja takes 10 hours to do the
same. Starting at the same time together, how long do they take to finish the
task?
A. 40/99 hours
B. 40/9 hours
C. 6.5 hours
D. 6 hours
Question 3
Bhavana and Sanjana together can do a particular project in 60 days while
Bhavana alone can execute the same in 90 days. In how many days can
Sanjana carry out this project working alone?
A. 180 days
B. 160 days
C. 150 days
D. 165 days
Question 4
Anil and Bhaskar can do a piece of work individually in 12 and 20 days
respectively. They work together for 6 days before Anil decides to leave. How
many days will it take Bhaskar to complete the work on his own?
A. 10 days
B. 6 days
C. 5 days
D. 4 days
Question 5
Dilip and Samrat can do a piece of work in 16 days and 24 days respectively. Samrat
works alone for 15 days and leaves. In how many days can Dilip complete the
remaining work?
A. 8
B. 6
C. 10
Question 6
If 'A' completes a piece of work in 3 days, which 'B' completes it in 5 days and
'C' takes 10 days to complete the same work. How long will they take to
complete the work , if they work together?
A. 1.5 days
B. 4
C. 6
D. 8
Question 7
P and Q can do a piece of work in 12 days, P and R can do the same work in
15 days, Q and R can do the same work in 20 days. In how many days can
they finish the work together?
A. 12 days
B. 15 days
C. 10 days
D. 8 days
Pipes & Cisterns
Question
Two taps A and B can fill a cistern in 42 and 56 minutes respectively. If both
the taps are opened together, then find the time taken to fill the cistern.
Question
Two taps A and B can fill a cistern in 10 and 15 minutes respectively. Both the
taps are opened together but at the end of 3 minutes, tap B is turned off. In
how much time will the cistern be filled?
Question
A cistern is fitted with three taps, namely P, Q and R. P and Q can fill a cistern
in 10 and 15 minutes respectively whereas R (emptying tap fitted at the
bottom of the cistern) can empty it in 12 minutes. If all the three pipes are kept
open, in how much time will the cistern be filled?
Question
A cistern generally takes 20 minutes to be filled by a pipe, but due to a leak, it takes 10
extra minutes to get filled. Find the time in which the leak alone can empty the cistern
filled with water.
Question
Two pipes A and B can fill a tank in 24 min. and 32 min. respectively. If both
the pipes are opened simultaneously. after how much time pipe B should be
dosed so that the tank is hill in 18 minutes?
A.
3mins
B.
5mins
C.
8mins
D.
4mins
Group Work
Question
30 men take 24 days, for the same task, 20 men take?
A.
35 days
B.
40 days
C.
36 days
D.
20 days
Question
45men take 25 days, for the same task,25men take?
A.
45 days
B.
40 days
C.
36 days
D.
20 days
Question
12 men can dig a well in 15 days, working 8 hours a day. How many days will
18 men require to dig a similar well working for 5 hours a day?
Question
30 workers can make 24 tables in 21 days, working 8 hours a day. If 35
workers want to make 18 such tables in 12 days, how many hours should they
work every day?
Question
If 9 friends can eat 9 ice creams in 9 minutes, how long will 15 friends take to
eat 15 such ice creams?
Question
A mess has provisions for 360 men for 70 days. If the number of men
increases by 90, for how many days will the provisions last?
Question
If 4 men or 7 women can complete a work in 14 days, how many men should
accompany 14 women so that the work will be completed in 3 and half days?
A.
5 days
B.
4 days
C.
8 days
D.
2 days
Question
2 men or 5 women can complete a piece of work in 27 days. In how many
days can 4 men and 5 women complete the same work?
A.
10 days
B.
12 days
C.
8 days
D.
9 days
Question
12 boys and 16 girls can do a piece of work in 10 days while 13 boys and 24
girls can do the same work in 8 days. Find the time taken by 15 boys and 20
girls to do the same work.