1.

A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be

2.

If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in

3.

If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in

4.

Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is

5.

12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required

6.

If 5 people undertook a piece of construction work and finished half the job in 15 days. If two people drop out, then the job will be completed in

7.

30 labourers working 7 hours a day can finish a piece of work in 18 days. If the labourers work 6 hours a day, then the number of labourers required to finish the same piece of work in 30 days will be

8.

If 5 girls can embroider a dress in 9 days, then the number of days taken by 3 girls will be

9.

A and B together can plough a field in 10 hours but by himself A requires 15 hours. How long would B take to plough the same field?

10.

16 men or 20 women can finish a work in 25 days. How many days 28 men and 15 women will take to finish this job?

11.

A can do a piece of work in 5 days and B can do the same work in 10 days. How many days will both take to complete the work?

12.

If 12 men can do a piece of work in 24 days, then in how many days can 18 men do the same work?

13.

A group of workers accepted to do a piece of work in 25 days. If 6 of them did not turn for the work and the remaining workers did the work in 40 days, then the original number of workers was

14.

If 8 men or 12 women can do a piece of work in 10 days, then the number of days required by 4 men and 4 women to finish the work is

15.

If 8 men can dig a well in 18 days, then the number of days, 12 men will take to dig the same well will be

16.

39 men can repair a road in 12 days working 5 hours a day. In how many days will 30 men working 6 hours peer day complete the work?

17.

A certain number of men can do a work in 40days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?

18.

If 4 men or 6 boys can finish a work in 20 days. How long will 6 men and 11 boys take to finish the same work?

19.

A works twice as fast as B. if B can complete a work in 12 days independently. The number of days in which A and B can together finish the work?

**Answer: Option 'D'**

**If B takes 12 days to finish the work, then A takes 6 days to finish the same work.
If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.
Therefore, the Number of days taken by A and B together to finish the same work = 6 × 12/18
= 4 days.**

20.

A and B can do a piece of work in 4 days. If A can do it alone in 12 days, B will finish the work in

21.

5 men can do a piece of work in 6 days while 10 women can do it in 5 days. In how many days can 5 women and 3 men do it?

22.

A work could be completed in 100 days. However, due to the absence of 10 workers, it was completed in 110 days then, the original number of workers was

23.

A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to completed the job if the two teams work together?

24.

A can do a piece of work in 12 days, while B can do it in 8 days with the help of C, they finish the work in 4 days. Then C alone can do the work in

25.

A job can be completed by 12 men in 12 days. How many extra days will be needed to complete the job if 6 men leave after working for 6 days?

26.

Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take, worker A and worker B, working together but independently, do the same job?

27.

Three workers working all days can do a work in 10 days. But one of them having other employment can work only half time. In how many days the work can be finished?

28.

Sam, Bob and Kim can do a job alone in 15 days, 10 days and 30 days respectively. Sam is helped by Bob and Kim every third day. In how many days will the job be completed?

29.

Prakash alone can complete a job in 12 hours, Jayant alone can complete the same job in 6 hours. How many hours will they take together to complete the job?

30.

56 men completes a work in 12 days. How many men will be required to complete the work in 16 days?

31.

Six men or tern boys can do a piece of work in fifteen days. How long would it take for 12 men and 5 boys to do the same piece of work?

32.

If 4 workers can make 42 toys in 6 days, how many toys can 12 workers make in 3 days?

33.

10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will work get completed?

34.

Three men, four women and six children can complete a work in 7 days . A woman does double the work a man does and a child does half the work a man does. How many women can complete this work in 7 days?

35.

A sum of money is sufficient to pay P’s wages for 25 days or Q’s wages for 30 days. The money is sufficient to pay the wages of both for

36.

A certain number of men complete a piece of work in 50 days. If there were 8 men more the work could be finished in 10 days less. How many men were originally there?

37.

A and B together finish a work in 30 days they worked for it for 20 days and then B left. The remaining work was done by A alone in 20 more days. B alone can finish the work in

**Answer: Option 'D'**

**(A + B)’s 1 days work = 1/30
A+B ‘s 20 days work = 1/30 × 20 = 2/3
Remaining work = 1 -2/3 = 1/3
1/3 of the work is done by A in 20 days
Therefore, A can complete the full work in 3 × 20 = 60 days
So, A’s 1 day’s work = 1/60
Then, B’s 1 day work = 1/30 – 1/60 = 1/60
Therefore, B can complete the work in 60 days.**

38.

A can complete a job in 9 days, B in 10 days and C in 15 days. B and C start the work together and are forced to leave after 2 days. The time taken to complete the remaining work is

**Answer: Option 'D'**

**A’s 1 day work = 1/9
B’s 1 day work = 1/10
C’s 1 day work = 1/15
B + C ‘ s 1 day work = 1/10 + 1/15 = 1/6
B + C’s 2 day’s work = 1/6 × 2 = 1/3
The work remaining = 1 – 1/3 = 2/3
A can do the full work in 9 days.
So, the remaining 2/3 of the work is done by A in 2/3 × 9 days = 6 days.**

39.

If 40 men working 9 hours a day can finish a work in 21 days, in how many days will 27 men working 10 hours a day do the same work?

40.

8 children and 12 men complete a certain piece of work in 9 days. Each child takes twice the time taken by a man to finish the work. In how many days will 12 men finish the same work?

41.

Rajesh and Ajay can complete a job in 16 days. Rajesh alone can do it in 24 days. How long will Ajay alone take to finish the whole work?

42.

Ram, Shyam and Mohan can do a piece of work in 12, 15 and 20 days respectively. How long will they take to finish it together?

**Answer: Option 'D'**

**When A, B and C can do a work in x, y and z days respectively. Then, the three of them together can finish the work in xyz/ x y + y z + x z days
Therefore, the No. of days taken by them together to finish the whole work
= 12 × 15 × 20/12 × 15 + 15 × 20 + 12 × 20
= 12 × 15 × 20/720 = 5 days.**

43.

Tapas works twice as much as Mihir. If both of them finish the work in 12 days, Tapas alone can do it in:

44.

Xavier can do a job in 40 days. He worked on it for 5 days and then Paes finished it in 21 days. In how many days Xavier and Paes can finish the work?

**Answer: Option 'B'**

**Xavier’s one day’s work = 1/40
His 5 days work = 1/40 × 5 = 1/8
The work remaining = 1 – 1/8 = 7/8
7/8 of the work is done by Paes in 21 days
Then, his 1 day’s work = 7/8/21 = 7/21 × 8 = 1/24
Therefore, the time taken by Paes to finish the whole work = 24 days.
Then. The No. of days two of them together take to finish the work = 40 × 24/40 + 24
= 40 × 24/64 = 15 days.**

45.

A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?

46.

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:

47.

A man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?

48.

A works twice as fast as B. if B can complete a work in 12 days independently, the number of days in which A and B can together finish the work is:

**Answer: Option 'A'**

**That is, if b alone can finish the work in 12 days,
A alone can finish the work in 6 days.
If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.
A and B can together finish the work in 6 × 12/18 days = 4 days.**

49.

A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days taken by A alone to finish the work is:

50.

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

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