Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. Quantity I: A and B completes the work in 15 days while working together. The ratio of their time is 3 : 5. In how many days B alone can complete the work.Quantity II: 45 days

Quantity I = Quantity II or No relation

1728 + Mcqs in Time and Work Page 7 McqOptions

301.	24 men can complete a work in 16 days. 32 women can complete the same work in 24 days. 16 men and 16 women started working and worked for 12 days. How many more men are to be added to complete the remaining work in 2 days?
A.	16
B.	24
C.	36
D.	48
Answer» C. 36

Discussion

302.	If A can do \(\frac{1}{4}\) of a work in 3 days and B can do \(\frac{1}{6}\) of the same work in 4 days, how much will A get if both A & B work together and are paid Rs. 180 for all?
A.	Rs. 110
B.	Rs. 100
C.	Rs. 130
D.	Rs. 120
Answer» E.

Discussion

303.	10 women can do a piece of work in 6 days, 6 men can do same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child respectively?
A.	4 : 6 : 3
B.	4 : 5 : 3
C.	2 : 4 : 3
D.	4 : 8 : 3
Answer» E.

Discussion

304.	In a certain number of days, 10 workers were assigned to complete a task. Since some of the workers have not worked all these days, only 25% of the task was completed after 15 days. From the 16th day onwards when all 10 started working, the percentage of the total work that was completed at the end of the assigned days was 62.5%. How many days were assigned initially?
A.	20
B.	22
C.	24
D.	25
E.	None of these
Answer» D. 25

Discussion

305.	A can do 40% of a work in 12 days, whereas B can do 60% of the same work in 15 days. Both works together for 10 days. C completes the remaining work alone in 4 days. A, B and C together will complete 28% of the same work in∶
A.	3 days
B.	2 days
C.	\(2\frac{1}{2}\)days
D.	\(1\frac{1}{2}\) days
Answer» C. \(2\frac{1}{2}\)days

Discussion

306.	Five technicians of a Studio A can do a work in 30 days. Eight technicians of a Studio B can do the same work in 15 days. In how many days can one technician of Studio A and one technician of Studio B, together do the same work?
A.	\(\frac{{190}}{3}\)
B.	\(\frac{{200}}{3}\)
C.	\(\frac{{220}}{9}\)
D.	\(\frac{{250}}{9}\)
Answer» C. \(\frac{{220}}{9}\)

Discussion

307.	Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing the work collectively for 10 days, they leave the work due to illness and Suresh completes the rest of the work in 3 days. How many days Suresh alone will take to complete the whole work?
A.	32 days
B.	28 days
C.	29 days
D.	30 days
Answer» E.

Discussion

308.	A can do a piece of work in 10 days and B can do it in 12 days. They work together for 3 days. Then B leaves and A alone continues. 2 days after that C joins and the work is completed in 2 days more. In how many days can C do it, if he works alone?
A.	30 days
B.	50 days
C.	40 days
D.	60 days
Answer» D. 60 days

Discussion

309.	63 people can dig a pond in 126 days. How many days can 98 people dig it?
A.	77
B.	90
C.	80
D.	81
Answer» E.

Discussion

310.	A tank can be filled by tap A in 4 hours while tap B can fill the same in 6 hours. Tap C can empty the filled tank in 8 hours. If all the three taps are opened simultaneously, how much approximate time will be taken to fill the tank completely?
A.	3 hours, 26 minutes
B.	2 hours, 26 minutes
C.	3 hours, 16 minutes
D.	3 hours, 20 minutes
Answer» B. 2 hours, 26 minutes

Discussion

311.	A, B and C can complete a piece of work in 12, 24 and 36 days respectively. A and B will together complete the same work in how many days?
A.	4 days
B.	5 days
C.	6 days
D.	8 days
Answer» E.

Discussion

312.	A certain number of persons can finish a task in 85 days. If there were 15 persons more, it would have taken 25 days less for the task to be completed. How many persons are there in the beginning?
A.	30
B.	45
C.	40
D.	36
Answer» E.

Discussion

313.	One pipe can fill an empty cistern in 4 hours while another can drain the cistern when full in 10 hours. Both the pipes were turned on when the cistern was half-empty. How long will it take the cistern to be full?
A.	6 hours 40 minutes
B.	5 hours 30 minutes
C.	4 hours 20 minutes
D.	3 hours 20 minutes
Answer» E.

Discussion

314.	Maitreyee was given some money to take care of her travel during a 10-day sales drive she had to undertake. However, she had to increase her stay by another 6 days, and as a result, her average daily travel allowance went down by Rs. 45. What was the amount that was sanctioned to her in the beginning?
A.	Rs. 1,120
B.	Rs. 1,200
C.	Rs. 960
D.	Rs. 1,040
Answer» C. Rs. 960

Discussion

315.	Arjun and Anurag complete a job in 5 days and 6 days respectively. They worked together and earned a total of Rs. 770. Find Arjun’s share in this amount (in Rs.).
A.	420
B.	490
C.	350
D.	450
Answer» B. 490

Discussion

316.	A, B and C take 10, 15 and 30 days respectively to complete a piece of work. In how many days will the work be done, If A is assisted by B and C on every third day?
A.	9
B.	7
C.	6
D.	8
Answer» E.

Discussion

317.	36 men and 48 women can do a certain work in one day whereas 6 men and 12 women can do it in 5 days. The number of women required to do the same work in 8 days is :
A.	10
B.	15
C.	18
D.	12
Answer» C. 18

Discussion

318.	A alone can complete a work in 10 days and B alone can complete the same work in 20 days. In how many days both A and B together can complete half of the total work?
A.	40/3 days
B.	20/3 days
C.	10/3 days
D.	25/3 days
Answer» D. 25/3 days

Discussion

319.	12 men finished 1/4 part of whole work in 6 days. Find the number of additional men required to complete the job in next 6 days.
A.	36
B.	12
C.	18
D.	24
Answer» E.

Discussion

320.	It takes 15 minutes to fill an oil tank. However the oil tank is being emptied through an exhaust pipe, which can empty it in 30 minutes. If this exhaust pipe remains open, how long will it take to fill this tank completely?A. 20 minutesB. 25 minutesC. 30 minutesD. 40 minutes
A.	B
B.	D
C.	A
D.	C
Answer» E.

Discussion

321.	Aman and Ajay can build a wall in 9 days and 12 days respectively. In how many days can they finish the work if they work together?
A.	\(5\frac{1}{7}\)
B.	\(11\frac{1}{2}\)
C.	2
D.	7
Answer» B. \(11\frac{1}{2}\)

Discussion

322.	A, B and C can do a piece of work in 20, 40 and 80 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A.	7 days
B.	15 days
C.	18 days
D.	16 days
Answer» E.

Discussion

323.	Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represents the relations among three quantities.A. C. ≤D. ≥E. =Shivam and Pankaj can do a piece of work in 20 days. Mridul and Pankaj can do the same work in 24 days. Pankaj can complete the same work in 60 days. Shivam started the work and worked for 12 days, then Mridul worked for 14 days, then Pankaj worked for x days.Quantity 1: A can do some work in 20 days and B can do the same work in (x + 5) days. Find the number of days taken by A and B together to complete the work.Quantity 2: P can do some work in (x – 5) days while Q can do the same work in x days. Find the number of days taken by P and Q together to complete the work.Quantity 3: The value of x.
A.	A, C
B.	B, D
C.	B, A
D.	A, B
E.	E, C
Answer» D. A, B

Discussion

324.	A and B together can complete a piece of work in 15 days. B and C together can do it in 24 days. If A is twice as good a workman as C, then in how many days can B alone complete the work ?
A.	60 days
B.	40 days
C.	52 days
D.	45 days
Answer» B. 40 days

Discussion

325.	If 5/7 of a cistern is filled in 30 minutes, then what is the time (in minutes) needed to fill the remaining part?
A.	12
B.	16
C.	18
D.	8
Answer» B. 16

Discussion

326.	A contract is to be completed in 75 days and 187 men are to work 15 hours per day. After 65 days, 3/5 of the work is completed. How many additional men may be employed, so that the work may be completed in time each man now working 17 hours per day?
A.	495
B.	514
C.	528
D.	532
Answer» D. 532

Discussion

327.	A glass containing water has two holes. The 1st hole alone empties the glass in 9 minutes and 2nd hole alone empties the glass in 3 minutes. If water leaks out a constant rate, how many minutes will it take if both the holes together empty the glass?
A.	\(\frac{1}{4}\)
B.	\(2 \frac{2}{4}\)
C.	\(3 \frac{1}{4}\)
D.	\(2 \frac{1}{4}\)
Answer» E.

Discussion

328.	As is twice as efficient a workman as B. If they work together, they take 21 days to complete a task. How many days will A alone take to complete the same task?
A.	\(23\frac{1}{4}\)
B.	\(62\frac{1}{2}\)
C.	\(53\frac{1}{4}\)
D.	\(31\frac{1}{2}\)
Answer» E.

Discussion

329.	A can do \(3 \over 4\) of work in 12 days. In how many days can he finish \(1 \over 8\) of the work?
A.	1 day
B.	2 days
C.	3 days
D.	4 days
Answer» C. 3 days

Discussion

330.	A and B can complete a task in 40 days and 16 days respectively. A started the task alone and then after 12 days B joined him till the completion of the task. How long did the task last after B joined the task?
A.	8 days
B.	6 days
C.	14 days
D.	12 days
Answer» B. 6 days

Discussion

331.	Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. Quantity I: A and B completes the work in 15 days while working together. The ratio of their time is 3 : 5. In how many days B alone can complete the work.Quantity II: 45 days
A.	Quantity I > Quantity II
B.	Quantity I < Quantity II
C.	Quantity I ≥ Quantity II
D.	Quantity I ≤ Quantity II
E.	Quantity I = Quantity II or No relation
Answer» C. Quantity I ≥ Quantity II

Discussion

332.	6 men or 5 women earn Rs. 14,820 in two days. How much will 4 women and 6 men earn in one day?
A.	Rs. 13,338
B.	Rs. 13,832
C.	Rs. 26,676
D.	Rs. 27,664
Answer» B. Rs. 13,832

Discussion

333.	A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in:
A.	4 days
B.	5 days
C.	7 days
D.	6 days
Answer» E.

Discussion

334.	A man undertakes to do a work in 150 days. He employs 200 men. He finds that only a quarter of the work is done in 50 days. How many additional men should he employ so that the whole work is finished in time?
A.	75
B.	85
C.	100
D.	120
Answer» D. 120

Discussion

335.	A works twice as fast as B and B works twice as fast as C. All three working together can finish a task in 4 days with the help of D. If D alone can finish the same task in 16 days, then in how many days will A alone finish 75% of the same task?
A.	9
B.	8
C.	7
D.	6
Answer» D. 6

Discussion

336.	A sump is filled by three tankers with uniform flow. The first two tankers operating simultaneously fill the sump in the same time during which the sump is filled by the third tanker alone. The second tanker fills the sump 5 hours faster than the first tanker and 4 hours slower than the third tanker. The time required by the first tanker is:
A.	10 hours
B.	15 hours
C.	16 hours
D.	9 hours
Answer» C. 16 hours

Discussion

337.	P alone can do a work in 60 days. P is 40% less efficient than Q. In how many days can Q alone do the same work?
A.	40
B.	38
C.	35
D.	36
Answer» E.

Discussion

338.	48 people could complete a task in 17 days. After 6 days. 4 of the workers left, how many days from then will it take to complete the task?
A.	12
B.	13
C.	15
D.	616
Answer» B. 13

Discussion

339.	A alone can do a piece of work in 10 days, A and B together can do the same piece of work in 20/3 days. A, B and C together can do the same piece of work in 40/7 days. In how many days can B and C together do the same piece of work?
A.	\(\frac{{44}}{7}\)
B.	\(\frac{{40}}{3}\)
C.	\(\frac{{44}}{3}\)
D.	\(\frac{{20}}{3}\)
Answer» C. \(\frac{{44}}{3}\)

Discussion

340.	Ramesh works A hours a day and rests B hours a day. This pattern continues for 1 week, with an exactly opposite pattern next week, and so on for four weeks. Every fifth week he adopts a new pattern which then continues for the next four weeks. When he works longer than he rests, his wage per hour is three times what he earns per hour when he rests longer than he works. The following table shows his daily working hours for the week numbered 1 to 13. 1st Week5th Week9th Week13th WeekRest345 Work6898 A week consists of six days and a month consists of four weeks. If Ramesh is paid Rs. 60 per working hour in the 1st week, what is his salary for the month? (Assume that he is paid half his wages for his resting hours on duty)
A.	Rs. 6840
B.	Rs. 11400
C.	Rs. 7240
D.	None of these
Answer» B. Rs. 11400

Discussion

341.	If 49 men working 12 hours a day can complete a work in 8 days, then how many men working 4 hours a day can complete the same work in 24 days?
A.	60
B.	50
C.	54
D.	49
Answer» E.

Discussion

342.	12 workers, working 6 hours a day, can complete a work in 16 days. In how many days can 8 workers complete the same work if they work for 8 hours a day?
A.	18
B.	16
C.	15
D.	12
Answer» B. 16

Discussion

343.	40 men can finish a piece of work in 40 days. They started the work together, but after every 10 days, 5 men leave the work, the whole work will finish in?
A.	56 days
B.	\(42 \dfrac{2}{3} \ days\)
C.	\(56 \dfrac{2}{3} \ days\)
D.	54 days
Answer» D. 54 days

Discussion

344.	A, B and C can do a job working alone in 50, 75 and 20 days respectively. They all work together for 4 days, then C quits. How many days will A and B take to finish the rest of the job?
A.	20
B.	30
C.	18
D.	24
Answer» B. 30

Discussion

345.	A can do a piece of work in 20 days and B can do it in 22 1/2 days. And both work together for 6 days and the remaining work has been completed by C in 26 days. In how many days they will complete the work, if all three work together?
A.	8 days
B.	9 days
C.	12 days
D.	10 days
Answer» C. 12 days

Discussion

346.	16 persons working 6 hours a day can complete a work in 10 days. In how many days 24 persons working 8 hours a day will complete 80% of that work?
A.	8
B.	4
C.	3
D.	6
Answer» C. 3

Discussion

347.	Prashanth is twice as good a sportsman as Tarun and together they finish a piece of work in 21 days. In how many days will Tarun alone finish the work?A. 42B. 63C. 84D. 50
A.	A
B.	D
C.	B
D.	C
Answer» D. C

Discussion

348.	Mrinal and Yukta together can paint half of a wall in 6 days. Working separately, Mrinal would need thrice as much time as Yukta would to paint half of the wall. In how many days can Yukta alone paint the whole wall?
A.	12
B.	20
C.	9
D.	16
Answer» E.

Discussion

349.	Pipes P and Q can fill a tank in 18 and 27 minutes, respectively, whereas pipe R can empty the full tank in 54 minutes. P and Q were opened together for 6 minutes and then closed and R was opened. The tank was emptied by R alone in:
A.	35 minutes
B.	30 minutes
C.	40 minutes
D.	45 minutes
Answer» C. 40 minutes

Discussion

350.	M can complete a work in 14 days less than the time taken by L. If both M and L together can complete the same work in 24 days, then in how many days M alone can complete the same work?
A.	35 days
B.	56 days
C.	21 days
D.	42 days
Answer» E.

Discussion

Explore topic-wise MCQs in General Aptitude.

24 men can complete a work in 16 days. 32 women can complete the same work in 24 days. 16 men and 16 women started working and worked for 12 days. How many more men are to be added to complete the remaining work in 2 days?

If A can do \(\frac{1}{4}\) of a work in 3 days and B can do \(\frac{1}{6}\) of the same work in 4 days, how much will A get if both A & B work together and are paid Rs. 180 for all?

10 women can do a piece of work in 6 days, 6 men can do same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child respectively?

A can do 40% of a work in 12 days, whereas B can do 60% of the same work in 15 days. Both works together for 10 days. C completes the remaining work alone in 4 days. A, B and C together will complete 28% of the same work in∶

Five technicians of a Studio A can do a work in 30 days. Eight technicians of a Studio B can do the same work in 15 days. In how many days can one technician of Studio A and one technician of Studio B, together do the same work?

Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing the work collectively for 10 days, they leave the work due to illness and Suresh completes the rest of the work in 3 days. How many days Suresh alone will take to complete the whole work?

A can do a piece of work in 10 days and B can do it in 12 days. They work together for 3 days. Then B leaves and A alone continues. 2 days after that C joins and the work is completed in 2 days more. In how many days can C do it, if he works alone?

63 people can dig a pond in 126 days. How many days can 98 people dig it?

A tank can be filled by tap A in 4 hours while tap B can fill the same in 6 hours. Tap C can empty the filled tank in 8 hours. If all the three taps are opened simultaneously, how much approximate time will be taken to fill the tank completely?

A, B and C can complete a piece of work in 12, 24 and 36 days respectively. A and B will together complete the same work in how many days?

A certain number of persons can finish a task in 85 days. If there were 15 persons more, it would have taken 25 days less for the task to be completed. How many persons are there in the beginning?

One pipe can fill an empty cistern in 4 hours while another can drain the cistern when full in 10 hours. Both the pipes were turned on when the cistern was half-empty. How long will it take the cistern to be full?

Arjun and Anurag complete a job in 5 days and 6 days respectively. They worked together and earned a total of Rs. 770. Find Arjun’s share in this amount (in Rs.).

A, B and C take 10, 15 and 30 days respectively to complete a piece of work. In how many days will the work be done, If A is assisted by B and C on every third day?

36 men and 48 women can do a certain work in one day whereas 6 men and 12 women can do it in 5 days. The number of women required to do the same work in 8 days is :

A alone can complete a work in 10 days and B alone can complete the same work in 20 days. In how many days both A and B together can complete half of the total work?

12 men finished 1/4 part of whole work in 6 days. Find the number of additional men required to complete the job in next 6 days.

It takes 15 minutes to fill an oil tank. However the oil tank is being emptied through an exhaust pipe, which can empty it in 30 minutes. If this exhaust pipe remains open, how long will it take to fill this tank completely?A. 20 minutesB. 25 minutesC. 30 minutesD. 40 minutes

Aman and Ajay can build a wall in 9 days and 12 days respectively. In how many days can they finish the work if they work together?

A, B and C can do a piece of work in 20, 40 and 80 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A and B together can complete a piece of work in 15 days. B and C together can do it in 24 days. If A is twice as good a workman as C, then in how many days can B alone complete the work ?

If 5/7 of a cistern is filled in 30 minutes, then what is the time (in minutes) needed to fill the remaining part?

A contract is to be completed in 75 days and 187 men are to work 15 hours per day. After 65 days, 3/5 of the work is completed. How many additional men may be employed, so that the work may be completed in time each man now working 17 hours per day?

A glass containing water has two holes. The 1st hole alone empties the glass in 9 minutes and 2nd hole alone empties the glass in 3 minutes. If water leaks out a constant rate, how many minutes will it take if both the holes together empty the glass?

As is twice as efficient a workman as B. If they work together, they take 21 days to complete a task. How many days will A alone take to complete the same task?

A can do \(3 \over 4\) of work in 12 days. In how many days can he finish \(1 \over 8\) of the work?

A and B can complete a task in 40 days and 16 days respectively. A started the task alone and then after 12 days B joined him till the completion of the task. How long did the task last after B joined the task?

6 men or 5 women earn Rs. 14,820 in two days. How much will 4 women and 6 men earn in one day?

A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in:

A man undertakes to do a work in 150 days. He employs 200 men. He finds that only a quarter of the work is done in 50 days. How many additional men should he employ so that the whole work is finished in time?

A works twice as fast as B and B works twice as fast as C. All three working together can finish a task in 4 days with the help of D. If D alone can finish the same task in 16 days, then in how many days will A alone finish 75% of the same task?

P alone can do a work in 60 days. P is 40% less efficient than Q. In how many days can Q alone do the same work?

48 people could complete a task in 17 days. After 6 days. 4 of the workers left, how many days from then will it take to complete the task?

A alone can do a piece of work in 10 days, A and B together can do the same piece of work in 20/3 days. A, B and C together can do the same piece of work in 40/7 days. In how many days can B and C together do the same piece of work?

If 49 men working 12 hours a day can complete a work in 8 days, then how many men working 4 hours a day can complete the same work in 24 days?

12 workers, working 6 hours a day, can complete a work in 16 days. In how many days can 8 workers complete the same work if they work for 8 hours a day?

40 men can finish a piece of work in 40 days. They started the work together, but after every 10 days, 5 men leave the work, the whole work will finish in?

A, B and C can do a job working alone in 50, 75 and 20 days respectively. They all work together for 4 days, then C quits. How many days will A and B take to finish the rest of the job?

A can do a piece of work in 20 days and B can do it in 22 1/2 days. And both work together for 6 days and the remaining work has been completed by C in 26 days. In how many days they will complete the work, if all three work together?

16 persons working 6 hours a day can complete a work in 10 days. In how many days 24 persons working 8 hours a day will complete 80% of that work?

Prashanth is twice as good a sportsman as Tarun and together they finish a piece of work in 21 days. In how many days will Tarun alone finish the work?A. 42B. 63C. 84D. 50

Mrinal and Yukta together can paint half of a wall in 6 days. Working separately, Mrinal would need thrice as much time as Yukta would to paint half of the wall. In how many days can Yukta alone paint the whole wall?

Pipes P and Q can fill a tank in 18 and 27 minutes, respectively, whereas pipe R can empty the full tank in 54 minutes. P and Q were opened together for 6 minutes and then closed and R was opened. The tank was emptied by R alone in:

M can complete a work in 14 days less than the time taken by L. If both M and L together can complete the same work in 24 days, then in how many days M alone can complete the same work?