Time and Work - Aptitude Questions and Answers | Online Time and Work MCQ Aptitude Test
Quiz Name
Online Time and Work
Category
Online Aptitude Test
Number of Questions
30
Time
30 Minutes
Exam Type
MCQ (Multiple Choice Questions)
1. A can complete a task in 15 days, whereas B can do it in 20 days. If they work on it jointly for four days, the remaining proportion of the job is:
a. 1/4
b. 1/10
c. 7/15
d. 8/15
Answer: D
Explanation:
1/15 of A's 1 day's labour.1 day's labour for B = 1/20;1 day's work for (A + B) = ( 1/15+ 1/20 ) = 7/604 days of labour for (A + B) = ( 7/60 x 4/15 ) = 7.As a result, the remaining labour equals ( 1/15- 7/15 ) = 8.
2. In 16 days, A can build railway track between two given stations, whereas B can accomplish the same in 12 days. They completed the task in in four days with the aid of C. Then C alone can do the task in:
a. 9 1/5days
b. 9 2/5days
c. 9 3/5days
d. 10
Answer: C
Explanation:
1 day's work for (A + B + C) = 1/4,1/16 of a day's labour for A1/12 of a day's labour for B.As a result, C's 1 day's work equals 1/4 -(1/16+1/12) = (1/4 -7/48) = 5/48.As a result, C alone can complete the task in 48/5 = 9 3/5 days.
3. A, B, and C can each complete a project in 20, 30, or 60 days. How many days would it take A to complete the task if he is aided by B and C every third day?
a. 12 days
b. 15 days
c. 16 days
d. 18 days
Answer: B
Explanation:
A's two-day work Equals 1/20 x 2 /10 = 1.1 day's work for (A + B + C) = 1/20 + 1/30 + 1/60 = 6/60 = 1/10.Work completed in three days = 1/10 + 1/10 = 1/5.Now, 1/5 of the job is completed in 3 days.The entire project will take 3 x 5 = 15 days to complete.
4. A is a twice as excellent a worker as B, thus he can complete a project in 60 days less than B. They can achieve it in the following ways if they work together:
a. 20 days
b. 22 1/2days
c. 25 days
d. 30 days
Answer: B
Explanation:
The ratio of time spent by A and B is 1:3.The difference in time is (3 - 1) 2 days, with B taking 3 days and A taking 1.If the time difference is two days, B will take three days.B takes 3/2 x 60 = 90 days if the time difference is 60 days.As a result, A takes 30 days to complete the task.1 day's work for A = 1/30=1 day's work for B = 1/90=1 day's labour for (A + B) =1/30+1/90= 4/90=2/45.A and B can complete the task in 45/2 = 22 1/2 days if they work together.
5. A can complete a task in 6 days and B in 8 days when working alone. A and B agreed to do it for 3200 rupees. They finished the job in three days with the aid of C. What is the amount to be paid to C?
a. Rs. 375
b. Rs. 400
c. Rs. 600
d. Rs. 800
Answer: B
Explanation:
1 day's labour for C = 1/3 - 1/6 + 1/8 = 1/3 - 7/24 = 1/24.1/6 : 1/8 : 1/24 = 4 : 3 : 1 = A's wages : B's wages : C's wages.3 × 1/24 x 3200 = Rs. 400 for C's share (for 3 days).
6. If 6 men and 8 boys can complete a task in 10 days while 26 men and 48 boys can complete the same in 2 days, 15 men and 20 boys will complete the task in the following time:
a. 4 days
b. 5 days
c. 6 days
d. 7 days
Answer: A
Explanation:
Let one day's labour for one man be x and one day's work for one boy be y.6x + 8y = 1/10, and 26x + 48y = 1/2, respectively.We obtain x = 1/100 and y = 1/200 when we solve these two equations.1 day's work (15 men + 20 boys) = 15/100 + 20/200 = 1/4.The task may be completed in four days by 15 men and 20 boys.
7. A can do a task in 4 hours; B and C can complete it in 3 hours; and A and C can complete it in 2 hours. How long will it take B to finish it on his own?
a. 8 hours
b. 10 hours
c. 12 hours
d. 24 hours
Answer: C
Explanation:
1 hour of labour by A = 1/4;1 hour of labour (B + C) = 1/3;1 hour of work (A + C) = 1/2=1 hour of work for (A + B + C) = ( 1/4 + 1/3 ) = 7/12=1 hour of work by B = ( 7/12 - 1/2 ) = 1/12.As a result, B alone will need 12 hours to complete the task.
8. A can do a task in the same amount of time as B and C combined. If A and B could accomplish it in 10 days and C alone could do it in 50 days, B could do it in:
a. 15 days
b. 20 days
c. 25 days
d. 30 days
Answer: C
Explanation:
1 day's labour for (A + B) = 1/10 10 C's 1 day's work = 1/50 51 day's labour for (A + B + C) = 1/10 + 1/50 = 6/50 = 3/25. (i)1 day's work for A = 1 day's labour for (B + C)... (ii)We obtain 2 x (A's 1 day's work) = 3/25 from I and (ii).1 day's work for A Equals 3/50.1 day's labour for B.1/10 - 3/50 = 2/50 = 1/25 .As a result, B could complete the task in 25 days on his own.
9. In 20 days, A completes 80% of the task. He then summons B, and the two of them labour together for the next three days to complete the remaining tasks. How long would it take B to complete the project on his own?
a. 23 days
b. 37 days
c. 37 1/2 days
d. 40 days
Answer: C
Explanation:
A completes the task in ( 20 x 5/4 ) = 25 days.Now, A and B have completed ( 1 - 4/5 ) of the job in 3 days.A and B will complete the project in 3 x 5 = 15 days.1 day's labour for A = 1/25, 1 day's work for (A + B) = 1/15As a result, B's 1 day's labour Equals ( 1/15 - 1/25 ) = 4/150 = 2/75.As a result, B could complete the task in 75/2 = 37 1/2 days if he worked alone.
10. A machine P can print one lakh books in eight hours, a machine Q can print the same number of books in ten hours, and a machine R can print the same number of books in twelve hours. All of the machines start at 9 a.m., with the exception of machine P, which closes at 11 a.m. with the remaining two machines finishing their job. When do you think the job (to print one lakh books) will be completed?
a. 11:30 A.M.
b. 12 noon
c. 12:30 P.M.
d. 1:00 P.M.
Answer: D
Explanation:
1 hour's labour for (P + Q + R) =(1/8+1/10+1/12) =37/120P, Q, and R completed their work in 2 hours =(37/120 x 2) =37/60.Work remaining = (1 - 37/60)=23/60.1 hour's labour for (Q + R) =(1/10 +112)=11/60.Q and R now do 11/60 of the task in 1 hour.Q and R will complete 23/60 of the job in (60/11x23/60) = 23/11 hours = 2 hours. As a result, the job will be finished after 2 hours.
11. A can complete a task in 18 days, but B can do the identical task in 15 days. B worked for ten days before quitting. How many days can A accomplish the remaining job on his own?
a. 5
b. 5 1/2
c. 6
d. 8
Answer: C
Explanation:
B's ten-day work Equals ( 1/15 x 10) = 2/3.Work remaining = ( 1 - 2/3 ) = 1/3.A now completes 1/18 of the job in one day.As a result, A completes 1/3 of the task in ( 18 x 1/3 ) = 6 days.
12. A task may be completed in 8 days by 4 men and 6 women, or 10 days by 3 men and 7 women. How long will it take 10 women to finish it?
a. 35
b. 40
c. 45
d. 50
Answer: B
Explanation:
Let 1 day's work for a man be x and 1 day's labour for a woman be y.4x + 6y = 1/8 and 3x + 7y = 1/10, respectively.We get the following results when we solve the two equations: = 11/400, y = 1/4001 day's work for 1 lady Equals 1/400.1 day's work for 10 women = 1/400 x 10 = 1/40.As a result, the task will be completed in 40 days by ten women.
13. A and B can complete a task in 30 days if they work together. They collaborated for 20 days before B departed. A completed the remaining job after another 20 days. How long will it take A to do the task on his own?
a. 40
b. 50
c. 54
d. 60
Answer: D
Explanation:
20 days of labour for (A + B) = ( 1/30 x 20 ) = 2/3.Work remaining = ( 1 - 2/3 ) = 1/3,A now completes 1/3 of the task in 20 days.As a result, A will complete the entire project in 20 x 3 = 60 days.
14. P can finish a project in 12 days if he works 8 hours each day. Q can finish the same job in 8 days if he works 10 hours every day. How many days would it take P and Q to do the task if they work together for 8 hours a day?
a. 5 5/11
b. 5 6/11
c. 6 5/11
d. 6 6/11
Answer: A
Explanation:
P may do the job in 12 x 8 hours, or 96 hours.Q can do the job in eight hours and ten minutes, for a total of eight hours and ten minutes.P's 1 hour of labour equals 1/96 and Q's 1 hour of work equals 1/80.1 hour of labour for (P + Q) = 1/96 + 1/80 = 11/480.As a result, both P and Q will complete the task in 480/11 hours.Number of 8-hour days = 480/11 x 1/8 = 60/11 days = 5 5/11 days.
15. A task may be completed in seven days by ten women and fourteen days by ten children. How long will it take 5 women and 10 children to do the job?
a. 3
b. 5
c. 7
d. Cannot be determined
Answer: C
Explanation:
1 day's labour for 1 woman Equals 1/70.1 day's work for 1 child Equals 1/140.A day's labour for (5 women + 10 children) = 5/70 + 10/140 = 1/14 + 1/14 = 1/7.The job will be completed in seven days by five women and ten youngsters.
16. X and Y can complete a project in 20 and 12 days, respectively. X began working alone, but after four days, Y joined him and worked with him until the job was completed. What was the duration of the project?
a. 6 days
b. 10 days
c. 15 days
d. 20 days
Answer: B
Explanation:
Work completed by X in 4 days = 1/20 x 4 = 1/5Work remaining = 1 - 1/5 = 4/5.1 day's labour for (X + Y) = 1/20 + 1/12 = 8/60 = 2/15X and Y now complete 2/15 of the job in a single day.As a result, X and Y will complete four tasks in 15/5 x 4/2 = 6/5 days.As a result, the total time required = (6 + 4) days = 10 days.
17. A has a 30% efficiency advantage over B. How long will it take them to do a project that A might have completed in 23 days if they worked together?
a. 11 days
b. 13 days
c. 20 3/17days
d. None of these
Answer: B
Explanation:
The ratio of time spent by A and B is 100:130, or 10:13.Assume B completes the task in x days.Then 10 : 13 : 23 : x => x = ( 23 x 13/10 ) => x = 299/10.1 day's labour for A = 1/23; 10 days' work for B = 10/299.1 day's work for (A + B) = ( 1/23 + 10/299 ) = 23/299 = 1/13.As a result, A and B can do the job in 13 days if they work together.
18. Ravi and Kumar are working on a project together. Ravi types 32 pages on a computer in 6 hours, whereas Kumar types 40 pages in 5 hours. How long will it take them to type a 110-page assignment while working on two different computers?
a. 7 hours 30 minutes
b. 8 hours
c. 8 hours 15 minutes
d. 8 hours 25 minutes
Answer: C
Explanation:
Ravi typed 32 pages in 1 hour, which is 16/3.Kumar typed a total of 40/5 = 8 pages in one hourNumber of pages written in one hour by both Equals ( 16/3 + 8 ) = 40/3,As a result, the time it took both of them to type 110 pages equals (110 x3/4) hours = 8 1/4 hours (or) 8 hours 15 minutes.
19. A, B, and C can finish a task in 24, 6, and 12 days, respectively. They will do the same job in the following areas while working together:
a. 1/24 day
b. 7/24 day
c. 3 3/7days
d. 4days
Answer: C
Explanation:
If A can complete a task in n days, then A's 1 day's labour equals 1/n1 day's labour for (A + B + C) = 1/24 + 1/6 + 1/12 = 7/24.If A's 1 day's labour Equals 1/n, then A can complete the task in n days.As a result, the project will be completed in 3 3/7 days if all three of them work together.
20. Sakshi can complete a project in 20 days. Tanya is 25% more productive than Sakshi. Tanya took the following amount of days to complete the same task:
a. 15
b. 16
c. 18
d. 25
Answer: B
Explanation:
Sakshi and Tanya took equal amounts of time = 125:100 = 5:4.Assume Tanya completes the task in x days.5 : 4 : 20 : x x = 4 x 20/5 =x is the number of days in a month.Tanya completes the task in 16 days as a result.
21. A takes twice as long as B or three times as long as C to complete a project. They can complete the task in two days if they work together. B is capable of completing the task on his own in the following areas:
a. 4 days
b. 6 days
c. 8 days
d. 12 days
Answer: B
Explanation:
Assume that A, B, and C accomplish the task in x, x/2, and x/3 days, respectively.Then, 1/x + 2/x + 3/x = 1/2.6/x = 1/2.x equals 12.As a result, B will accomplish the task in (12/2) = 6 days.
22. A and B can finish a project in 15 and 10 days, respectively. They began working together, but after two days, B had to depart, leaving A to finish the remaining tasks on her alone. The entire project was finished in:
a. 8 days
b. 10 days
c. 12 days
d. 15 days
Answer: C
Explanation:
1 day's work for (A + B) = ( 1/15 + 1/10 ) = 1/6.A and B's work in two days = ( 1/6 x 2) = 1/3.Work remaining = ( 1 - 1/3 ) = 2/3.A now completes 1/15 of the job in one day.As a result, a will complete 2/3 of the task in ( 15 x 2/3 ) = 10 days.As a result, the total time required is (10 + 2) = 12 days.
23. A and B can complete a task in 30 days, whereas B and C can complete the task in 24 days and C and A in 20. When B and C leave, they all work together for ten days. How many more days will A need to complete the project?
a. 18 days
b. 24 days
c. 30 days
d. 36 days
Answer: A
Explanation:
1 day's labour for 2(A + B + C) = ( 1/30 + 1/24 + 1/20 ) = 15/120 = 1/8.As a result, 1 day's work for (A + B + C) = 1/2 x 8 = 1/16.Work completed by A, B, and C in ten days = 10/16 = 5/8.Work remaining = ( 1 - 5/8 ) = 3/8.1 day's work for A = ( 1/16 - 1/24 ) = 1/48.A now completes 1/48 work in one day.As a result, A will do 3/8 of the task in ( 48 x 3/8 ) = 18 days.
24. A is twice as quick as B. If B can accomplish a task in 12 days on his alone, the number of days it will take A and B to complete the task jointly is:
a. 4 days
b. 6 days
c. 8 days
d. 18 days
Answer: A
Explanation:
The ratio between A and B's working rates is 2 to 1.As a result, the ratio of times taken is 1:2.1/12 of a day's labour for B.As a result, A's 1 day's labour equals 1/6; (2 times B's work)'1 day's work for (A + B) = ( 1/6 + 1/12 ) = 3/12 = 1/4.As a result, A and B can complete the task in four days.
25. Twenty women can complete a task in sixteen days. In fifteen days, sixteen guys may finish the same job. What is the ratio of a man's and a woman's capacity?
a. 3 : 4
b. 4 : 3
c. 5 : 3
d. Data inadequate
Answer: B
Explanation:
Women may finish the job in one day (20 x 16).1 day's work for 1 lady = 1/320.The task may be completed in one day by 16 × 15 guys.1 day's work for 1 guy Equals 1/240.As a result, the necessary ratio is 1/240 : 1/320.4 : 3 = 1/3 : 1/4 (cross multiplied).
26. A and B can complete a task in eight days, whereas B and C can do the identical task in twelve days. It can be completed in 6 days if A, B, and C work together. It will be completed in the following time if A and C work together:
a. 4 days
b. 6 days
c. 8 days
d. 12 days
Answer: C
Explanation:
1 day's work for (A + B + C) = 1/6; 61 day's labour for (A + B) = 1/8; 1 day's work for (B + C) = 1/12.As a result, 1 day's work for (A + C) = ( 2 x 1/6 )- ( 1/8 + 1/12 ) \s= ( 1/3 - 5/24 )= 3/24= 1/8 .As a result, A and C will complete the task in 8 days.
27. A can do a task in 24 hours, B in 9 hours, and C in 12 hours. B and C begin employment, but must depart after three days. A completed the remaining tasks in:
a. Five days
b. six days
c. ten days
d. 10 1/2 days
Answer: C
Explanation:
1 day's labour for (B + C) = 1/9 + 1/12 = 7/36.Work completed by B and C in three days = 7 x 3 /36 = 7/12.Work remaining = 1 - 7/12 = 5/12A now completes 1/24 work in one day.As a result, A completes 5/12 of the job in 24 x 5/12 = 10 days.
28. X can complete a project in 40 days. He worked on it for eight days, and Y completed it in sixteen days. How long will it take them to finish the project as a team?
a. 13 1/3days
b. 15 days
c. 20 days
d. 26 days
Answer: A
Explanation:
Work completed by X in 8 days Equals ( 1/40 x 8) = 1/5.Work remaining = ( 1 - 1/5 ) = 4/5.Y now completes 4/5 of the job in 16 days.Y will complete the project in ( 16 x 5/4 ) = 20 days.As a result, X's 1 day's labour equals 1/40, while Y's 1 day's work equals 1/20.1 day's labour for (X + Y) = ( 1/40 + 1/20 ) = 3/40.As a result, X and Y will finish the task in (40/3)= 13 1/3 days.
29. A and B can complete a task in seven days if they work together. A has a 13/4 efficiency advantage over B. A may complete the same task by herself in :
a. 9 1/3days
b. 11 days
c. 12 1/4days
d. 16 1/3days
Answer: B
Explanation:
7/4 : 1 = 7 : 4. (A's 1 day's work) : (B's 1 day's work) = 7 : 4.Allow 7x and 4x for A's and B's one-day work, respectively.Then 7x + 4x = 1/7 => 11x = 1/7 => x = 1/77.As a result, A's 1 day's work Equals ( 1/77 x 7 ) = 1/11.
30. A and B can complete a project in 30 days if they work together. B completes the remaining job in 44 days after A has worked for 16 days. In how many days will B be able to complete the entire project on his own?
a. 30 days
b. 40 days
c. 60 days
d. 70 days
Answer: C
Explanation:
Let A's one-day work be x and B's one-day work be y.Then 16x + 44y = 1 and x + y = 1/30.We get x = 1/60 and y = 1/60 by solving these two equations.1 day's work for B Equals 1/60.As a result, B will complete the entire project in 60 days on his own.
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