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Worksheets

Unitary Method

Total questions: 111

Worksheet time: 3hrs 36mins

Name
Class
Date
1.
There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?
a)
8
b)
15
c)
40
d)
29
2.

If cost of 15 eggs is ₹ 75, then find out the cost of 4 dozens eggs.

a)

₹ 240

b)

₹ 185

c)

₹ 150

d)

₹ 300

3.

If 20 articles cost ₹ 90, then the cost of 9 articles is ?

a)

₹ 45

b)

₹ 40.50

c)

₹ 4.50

d)

None of these

4.

If cost of 12 pens is ₹ 84, then what is the cost of 10 such pens ?

a)

₹ 90

b)

₹ 70

c)

₹ 65

d)

₹ 72

5.

If 16 dozens bananas cost ₹ 360, then how many bananas can be bought in ₹ 60 ?

a)

16 bananas

b)

50 bananas

c)

32 bananas

d)

48 bananas

6.

A can do a piece of work in 30 days and B can do the same in 20 days. How many days will it take if they do the job together?

a)
5
b)

10 days

c)

15 Days

d)

8 days

7.

A can do a bit of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can complete the remaining work in:

a)
5
b)

6 days

c)

4 days

d)

10 Days

8.

A, B, and C can do a piece of work in 20, 30, and 60 days respectively. In how many days can A do the job if he is assisted by B and C on every third day?

a)

5

b)

10 days

c)

15 Days

d)

20 Days

9.

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

(a)  

10.

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

(a)  

11.

Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

(a)  

12.

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

(a)  

13.

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

(a)  

14.

P is thrice as good a workman as Q and together they finish a piece of work in 24 days. The number of days taken by P alone to finish the work is:

(a)  

15.

6 women can complete a piece of work in 10 days, whereas 10 children alone take 15 days to complete the same piece of work. How many days will 6 women and 10 children together take to complete the piece of work?

(a)  

16.

A does half as much work as B in three –fourth of the time if together they take 18 days to complete a work. How much time shall B take to do it?

(a)  

17.

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

(a)  

18.

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

(a)  

19.

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

(a)  

20.

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be

(a)  

21.

A works twice as fast as B. If B can complete a work in 18 days independently,the number of days in which A and B can together finish the work is:

(a)  

22.

Ajay and Vijay undertake to do a piece of work for Rs. 480. Ajay alone can do it in 75 days while Vijay alone can do it in 40 days. With the help of Pradeep, they finish the work in 25 days. How much should Pradeep get for his work?

(a)  

23.

A can do a piece of work in 12 days. B can do this work in 16 days. A started the work alone. After how many days should B join him, so that the work is finished in 9 days?

(a)  

24.

A and B undertake to do a piece of work for Rs. 450. A can do it in 20 days and B can do it in 40 days. With the help of C, they finish it in 8 days. How much should C be paid for his contribution?

(a)  

25.

A and B undertake to do a piece of work for Rs. 450. A can do it in 20 days and B can do it in 40 days. With the help of C, they finish it in 8 days. How much should C be paid for his contribution?

(a)  

26.

X, Y and Z can complete a job in 10 days, 15 days and 20 days respectively. They completed the job and got a total wage of $ 520. Find Z's share?

a)

160

b)

120

c)

240

d)

200

27.

Pawan can eat 8 mangoes in 4 days. Pradeep can eat 9 mangoes in 3 days. In how many days can both eat 60 mangoes?

a)

12

b)

10

c)

6

d)

15

28.

Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

a)

15

b)

16

c)

18

d)

25

29.

A is four times as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in

a)

20 days

b)

22.5 days

c)

15 days

d)

16 days

30.

Pipe A can fill an empty tank in 4 hours while pipe B can empty the full tank in 5 hours. If both are opened at the same time in the empty tank, how much time will they take to fill it up completely?

a)

33 hours

b)

20 hours

c)

30 hours

d)

10 hours

31.

Anil can do a piece of work in 5 days and Ankur in 3 days. How long will they take to do the same work, if they work together?

a)

12/7 days

b)

20/9 days

c)

15/8 days

d)

9/7 days

32.

X men can complete a work in 120 days. If there were 20 men more, the work would be completed in 20 days less. Find the value of X?

a)

50

b)

100

c)

80

d)

120

33.

Pipes A and B can fill a tank in 10 hours each. A third pipe C empties the tank in 20 hours. If all the three pipes are opened simultaneously, in how much time will the tank be filled?

a)

6 hr 30 min

b)

6 hr 40 min

c)

6 hr 20 min

d)

4 hr 40 min

34.

Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for 1 hour each alternatively, the tank will be full in -

a)

5 hr

b)

7 hr

c)

6 hr

d)

7.5 hr

35.

Two pipes A and B can fill a water tank in 20 and 24 min respectively. A third pipe C can empty at the rate of 3 gallons per minute. If A, B and C opened together fill the tank in 15 min, the capacity of the tank (in gallons) is:

a)

180

b)

150

c)

120

d)

60

36.

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is

a)

1/4

b)

1/10

c)

7/15

d)

8/15

37.

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

a)

46/5

b)

47/5

c)

48/5

d)

10

38.

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

a)

12 Days

b)

15 Days

c)

16 Days

d)

18 Days

39.

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in

a)

20 days

b)

45/2 days

c)

25 days

d)

30 days

40.

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

a)

Rs.375

b)

Rs.400

c)

Rs.600

d)

Rs.800

41.

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

a)

4 days

b)

5 days

c)

6 days

d)

7 days

42.

A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

a)

8 hours

b)

10 hours

c)

12 hours

d)

24 hours

43.

A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

a)

15 days

b)

20 days

c)

25 days

d)

30 days

44.

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

a)

23 days

b)

37 days

c)

75/2

d)

40 days

45.

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished?

a)

11:30 AM

b)

12 Noon

c)

12:30 PM

d)

1:00 PM

46.

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

a)

5

b)

11/2

c)

6

d)

8

47.

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

a)

35

b)

40

c)

45

d)

50

48.

A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

a)

40

b)

50

c)

54

d)

60

49.

P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

a)

60/11

b)

61/11

c)

71/11

d)

72/11

50.

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

a)

3

b)

5

c)

7

d)

cannot be determined

51.

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

a)

6 days

b)

10 days

c)

15 days

d)

20 days

52.

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

a)

11 days

b)

13 days

c)

15 days

d)

None of these

53.

Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

a)

7 hours 30 minutes

b)

8 hours

c)

8 hours 15 minutes

d)

8 hours 25 minutes

54.

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

a)

4 days

b)

1/24 days

c)

7/24 days

d)

24/7 days

55.

Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

a)

15

b)

16

c)

18

d)

25

56.

‘A’ takes twice as much as time as ‘B’ does to complete a piece of works, but gets paid half of what ‘B’ gets paid for the same work. The ratio of their hourly wages is : ( wages of A / wages of B)

a)

1:1

b)

1:2

c)

1:4

d)

4:1

57.


Amruta can do a piece of work in 20 days. Narendra is 25% more efficient than Amruta. The number of days taken by Narendra to do the same piece of work is:

a)

15

b)

16

c)

18

d)

25

58.

A can finish a work in 24 days. B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

a)

5 days

b)

6 days

c)

10 days

d)

10 1/2days

59.

Pawan and Raghav can do a piece of work in 9 days and 12 days respectively. If they work for a day alternatively, Pawan beginning, in how many days, the work will be completed?

a)

4 1/2 days

b)

5 days

c)

9 1/4 days

d)

10 1/4 days

60.

A can do a work in 12 days. B is 60% more efficient than A. In how many days will B complete the work?

a)

7 1/2 days

b)

14 days

c)

9 1/4 days

d)

10 1/4 days

61.

A, B & C can do a work in 120, 80 and 100 days respectively. In approximately how many days can B complete the work if A and C help him on every third day?

a)

70 days

b)

44 days

c)

53 days

d)

63 days

62.


Suhan can do a work in 12 days and Simran can do the same in 36 days. With Rahul they can do the job in 8 days. So, Rahul can do the job in :

a)

72 days

b)

68 days

c)

30 days

d)

80 days

63.


P is thrice as good a workman as Q and, therefore, is able to finish a job in 60 days less than Q. Working together, they can do it in :

a)

45 days

b)

22 1/2 days

c)

30 days

d)

12 1/2 days

64.

P and Q can do a work in 18 days and 24 days respectively. They worked together for 8 days and then P left. The remaining work was finished by Q in

a)

5 days

b)

6 1/2 days

c)

5 1/3 days

d)

12 1/3 days

65.

The number of days in which A and B together can finish a piece of work is 12 days less than the time taken by A alone and 27 days less than the time taken by B alone to finish the work. If A and B completed the work in 15 days with the help of C and got a total compensation of Rs 3000 for the work, then what is the share of C?


a)

400

b)

600

c)

550

d)

500

66.


On a certain day, Ram works at 11/7th of his usual rate of doing work and finished the work 28 minutes earlier than the usual time required. Had Ram worked at 7/11th of his usual rate of doing work then the time taken by him to complete the work would have been how much more than the usual time required?

a)

70 min

b)

44 min

c)

53 min

d)

63 min

67.

A and B can do a work in 12 days, B and C can do the same work in 15 days, and C and A can do the same work in 20 days. A, B and C will complete the work together in:

a)

14 days

b)

12 days

c)

10 days

d)

15 days

68.

A can plough a farm in same time as B and C together can do it. If A and B together do the same in 20 days and C in 100 days then B could do it alone in:

a)

50 days

b)

25 days

c)

75 days

d)

65 days

69.

A and B can finish a work in T days. If A and B alone can do this work in (T + 3) and (T + 12) days respectively, find the value of T.

a)

3 days

b)

6 days

c)

12 days

d)

Cannot be determined

70.

Soni and Jyoti can do a work together in 14 days. Soni is 14/8 times efficient in comparison to Jyoti. The same job can be completed by Soni at which day?

a)

55 days

b)

22 days

c)

44 days

d)

33 days

71.

A can complete a piece of work in 36 days, B in 54 days and C in 72 days. All the three began the work the work together but A left 8 days before the completion of the work and B 12 days before the completion of work. Only C worked up to the end. In how many days was the work completed?

a)

24 days

b)

25 days

c)

27 days

d)

30 days

72.

A Can do a piece of work in 15 days. A and B together can complete the work in 12 days. B alone can do it in-

a)

50 days

b)

60 days

c)

45 days

d)

40 days

73.

6 men or 8 boys can do a work in 12 days. Then 6 men and 4 boys together can do the work in how many days?

a)

9 days

b)

8 days

c)

15 days

d)

6 days

74.

A can complete a work in 15 days and B can do the same work in 20 days. After doing 3 days, A leaves the work. Find in how many days we will do the remaining work?

a)

10 days

b)

12 days

c)

15 days

d)

16 days

75.

A certain number of men can do a work in 30 days. If there were 10 men more it would be finished in 10 days less .how many men are there originally?

a)

25 men

b)

20 men

c)

15 men

d)

30 men

76.

A is 4 times as fast as B and is therefore able to finish a work in 30 days less than B. Find the time in which they can do it working together.

a)

12 days

b)

16 days

c)

8 days

d)

20 days

77.

A, B and C can do a piece of work in 12, 15 and 20 days respectively. They all together will complete the work in__

a)

4 days

b)

7 days

c)

5 days

d)

8 days

78.

120 men can do a piece of work in 50 days. They started the work but after 20 days, another 30 men are employed. In how many days the remaining work be completed?

a)

25 days

b)

20 days

c)

24 days

d)

21 days

79.

A can do a work in 18 days. B is 20% more efficient than A. In how many days B alone can do the same work?

a)

12 days

b)

16 days

c)

10 days

d)

15 days

80.

B and C complete 7/9 th of the work and remaining by A.If they got Rs. 450 for the work,find the share of A

a)

100

b)

150

c)

200

d)

75

81.

A can do a work in 20 days,B can do it in 25 days.They started the work together but B left the work 2 days before the work is finished.In how many days the work will be finished?

a)

10 days

b)

15 days

c)

12 days

d)

16 days

82.
  1. A can do a work in 6 days that B in

    9 days .how many days will both together to complete the work.

a)
  1. 1. 7.5

b)
  1. 2. 5.4

c)
  1. 3. 3.6

d)
  1. 4. 4

83.
  1. A alone can complete the work in 12 days .while A and B together can complete the same work in 8 days the

    number of days that B will take to complete the work alone.

a)
  1. 1. 10

b)
  1. 2. 24

c)
  1. 3. 20

d)
  1. 4. 9

84.
  1. A can do 3/4 th of a work in 12 days.

    In how many days can he finish 1/8 th of work.

a)
  1. 1. 1

b)
  1. 2. 2

c)
  1. 3. 3

d)
  1. 4. 4

85.

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

a)
  1. 1. 4 days

b)
  1. 2. 5 days

c)
  1. 3. 6 days

d)
  1. 4. 7 days

86.

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

a)
  1. 1. 6 days

b)
  1. 2. 8 days

c)
  1. 3. 7 days

d)
  1. 4. 9 days

87.
  1. A can do a piece of work in 25 days and B can do the same work in 30 days. They

    Work Together for 5 days how much of

    Work Is left.

a)
  1. 1. 11/30

b)
  1. 2. 15/30

c)
  1. 3. 19/30

d)
  1. 4. 12/30

88.
  1. A can do 7/8 of work in 28 days.B can do

    5/6 of the same work in 20 days.the number of days they will take to complete if

    They Work together.

a)
  1. 1. 15 3/7

b)
  1. 2. 17 3/7

c)
  1. 3. 14 5/7

d)
  1. 4. 13 5/7

89.
  1. A can complete 50% of a job in 9 days.

    And B can complete 25% of the job in 9

    Days if they worked alone. If they working together how much of the (in%) can

    They Complete in 9 days.

a)
  1. 1. 80

b)
  1. 2. 75.

c)
  1. 3. 90

d)
  1. 4. 100

90.
  1. A,B,C individually can do a work in 10 days, 12 days, and 15 days respectively. If they start work together then the number of days required to finish the work.

a)
  1. 1. 16

b)
  1. 2. 8

c)
  1. 3. 4

d)
  1. 4. 2

91.
  1. B and C can complete a piece of work in 12 days.C and A can do it in 8 days. All the three can do it in 6 days.A and B together can complete in.

a)
  1. 1. 4

b)
  1. 2. 6

c)
  1. 3. 8

d)
  1. 4. 10

92.
  1. A and B together can complete a work in 12 days.B and C together in 15 days.and C and A together in 20 days.then B alone can complete the work.

a)
  1. 1. 30

b)
  1. 2. 25

c)
  1. 3. 24

d)
  1. 4. 20

93.
  1. A can do a piece of work in 4 hours , B and C in together in 3 hours and A and C 2 hours.how long will B alone take to do it.(hours)

a)
  1. 1. 10

b)
  1. 2. 12

c)
  1. 3. 8

d)

4. 24

94.
  1. A and B working separately can do a piece of work in 9 and 15 days respectively. If they work for a day alternatively, with A beginning then the work completed in

a)
  1. 1. 10

b)
  1. 2. 11

c)
  1. 3. 9

d)
  1. 4. 12

95.
  1. A can do piece of work in 12 days. And B in 15 days. They work together for 5 days and then B left. the days taken by A finish the remaining work is.

a)
  1. 1. 3

b)
  1. 2. 5

c)
  1. 3. 10

d)
  1. 4. 13

96.
  1. A does 4/5 of a piece of work in 20 days. He then calls in B and they finish the remaining work in 3 days .How long B alone will take to do a piece of work.

a)
  1. 1. 37 1/2

b)
  1. 2. 37

c)
  1. 3. 40

d)
  1. 4. 23

97.
  1. A can complete a work in 10 1/8 more days then A and B together,while B take 12.5 days more to complete a work alone then A and B how much time B alone can do it.

a)
  1. 1. 22 1/4

b)
  1. 2. 23 3/4

c)
  1. 3. 24 1/2

d)
  1. 4. 21 1/8

98.
  1. A can do a piece of work in 4 days,B and C can do it in 3 days .A and C can do it in 2 days. How long will B alone take to do it

a)
  1. 1. 10

b)
  1. 2. 12

c)
  1. 3. 8

d)
  1. 4. 24

99.
  1. A can do 50% of a job in 9 days .total job completed in how many days.

a)
  1. 1. 9

b)
  1. 2. 17

c)
  1. 3. 18

d)
  1. 4. 20

100.

A,B,c can do work in 12,8,6 days respectively. All the three worked for 2 days at which point of time C left the work. The time taken by the other two to complete the work.

a)
  1. 1. 12

b)
  1. 2. 24

c)
  1. 3. 62

d)
  1. 4. 72

101.

A can complete a piece of work in 20 days and B can complete 20% of work in 6 days if they work together in how many days can they finish 50% of the work if they work together

a)
  1. 1. 12

b)
  1. 2. 6

c)
  1. 3. 8

d)
  1. 4. 9

102.

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be

(a)  

103.

If 10 men can construct a wall 180m in 3 days, how many men are required to construct a 300 m long wall in 5 days?

a)

10

b)

15

c)

20

d)

30

104.

A garrison of 500 men had provisions for 24 days. However, a reinforcement of 300 men arrived. The food will now last for …………….

a)

15 days

b)

21 days

c)

16 days

d)

27 days

105.

If 4 men reap 40 acres in 30 days, how many acres will 18 men reap in 12 days?

a)

72 acres

b)

73 acres

c)

89 acres

d)

56 acres

106.

12 men or 18 women can reap a field in 14 days. The number of days that 8 men and 16 women will take to reap it is:

a)

5

b)

7

c)

8

d)

9

107.

Twelve men can complete a work in 8 days. Three days after they started the work, 3 more men joined them. In how many days will all of them together complete the remaining work?

a)

2

b)

4

c)

5

d)

6

108.

A alone can finish a work in 10 days and B alone can do it in 15 days. If they work together and finish, then out of a total wages of Rs.75. A will get:

a)

Rs. 30

b)

Rs. 37.50

c)

Rs. 45

d)

Rs. 50

109.

A can complete a task in 15 days, while B can do it in 10 days. If they work together, how many days will it take to finish the task?

a)

6 days

b)

8 days

c)

10 days

d)

12 days

110.

If 4 men can complete a work in 12 days, how many days will it take for 6 men to complete the same work?

a)

8 days

b)

10 days

c)

12 days

d)

14 days

111.

A can do a piece of work in 25 days, B can do it in 30 days, and C can do it in 40 days. If all three work together, how long will it take to complete the work?

a)

10 days

b)

12 days

c)

15 days

d)

20 days