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Time and Work Quiz Details – Aptitude Test
| Quiz Name | Time and Work |
| Category | Aptitude |
| Exam Type | MCQ (Multiple Choice Questions) |
Time and Work Aptitude Online Test – Practice Now
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1. men and 5 women together can complete the work in 5 days and 4 men and 4 women can complete the work in 8 days. In how many days 2 men and 2 women can complete the work?
A. 18 days
B. 8 days
C. 12 days
D. 16 days
E. 17 days
Answer: D
Explanation: 
2. A, B and C can do a piece of work in 15, 10 and 30 days respectively. In how many days can A do the work if he is assisted by B and C on every 3rd day?
A. 15 days
B. 3 days
C. 6 days
D. 9 days
E. 12 days
Answer: D
Explanation: 
3. Mr. SachinTichkule, a road contractor, undertook to construct a road in 72 days with 32 workers. However, after 54 days he observed that only two-fifth of the work is completed. How many more workers need to be employed to complete the work 2 days before of the given time?
A. 130
B. 145
C. 90
D. 115
E. 65
Answer: A
Explanation: 
4. A labourer was appointed by a contractor on the condition that he would be paid Rs. 225 for each day of his work but would be fined Rs. 45 for the day of his absence. After 26 days, contractor paid the labourer Rs. 3960, then for how many days he worked?
A. 19
B. 14
C. 16
D. 12
E. None of these
Answer: A
Explanation:
Let the labourer worked for x days.
Using the data provided in the question, we get
x × 225 – (26 – x) × 45 = 3960
⇒ 225x + 45x = 3960 + 26 × 45
⇒ 270x = 5130
⇒ x = 19
5. Arun alone can do a piece of work in 15 days. Rahul can do the same piece of work in 12 days. Arun and Rahul are assigned to do the work for Rs. 1250. They complete the work in 6 days with the help of Ranjan. How much is to be paid to Ranjan?
A. Rs. 150
B. Rs. 125
C. Rs. 175
D. Rs. 225
E. Rs. 275
Answer: B
Explanation: 
6. A alone can complete A piece of work in 25 days. B is 40% less efficient than A, then in how many days A and B working together can complete 80% of that work?
A. 10 days
B. 20 days
C. 15 days
D. 12.5 days
E. None of these
Answer: D
Explanation: 
7. Vansh and Tarushi can do a piece of work in 24 days and 40 days respectively. They started the work, after 8 days Shubham, who can complete the same work in 20 days joined them. In how much days can they complete the whole work?
A. 12 days
B. 15 days
C. 16 days
D. 20 days
E. None of these
Answer: A
Explanation:
Let the total amount of the work = 120 units
Amount of the work done by Vansh in one day = 120/24 = 5 units
Amount of the work done by Tarushi in one day = 120/40 = 3 units
Amount of the work done by Shubham in one day = 120/20 = 6 units
Amount work done by Vansh and Tarushi together in 8 days = 8 × 8 = 64 units
Remaining amount of the work = 120 – 64 = 56 units
Time taken by all three to complete the remaining work = 56/14 = 4 days
Required total number of days = 4 + 8 = 12 days
Hence, option A is correct.
8. A and B working alone can do a work in 40 days and 30 days respectively. They started the work together but B left after sometime and A finished remaining work in 5 days. Find after how many days from start B left the work?
A. 15 days
B. 14 days
C. 16 days
D. 12 days
E. 18 days
Answer: A
Explanation:
Assume total work unit=120
A efficiency= 120/40= 3 unit per day
B efficiency= 120/30= 4 unit per day
Remaining work finished by A in last 5 days= 3×5= 15 unit
Rest work done by both A & B= 120-15= 105 unit
So A & B work for days= 105/(3+4)= 15 day
B left after 15 days
9. A contractor undertook a work to complete a work in 30 days and hired 24 workers. After 18 days, he found that only two-fifth of the work is completed. Now, how many more workers should he hire so that the work is completed on time?
A. 40
B. 25
C. 20
D. 30
E. None of these
Answer: D
Explanation: 
10. A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours 15 minutes and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01 : 00 pm and 02 : 00 pm respectively and the outlet at 03 : 00 pm, then it will be emptied (approx) after how much time
A. 1 hr 48 min
B. 2 hr 18 min
C. 2 hr 4 min
D. 2 hr 12 min
E. None of these
Answer: C
Explanation:
Let first inlet, 2nd inlet and outlet be A, B and C respectively.
Now, time taken by inlets to fill the tank is 195 and 225 minutes respectively.
So, let total volume of the reservoir = 195 litres
So first inlet will fill = 1 litre water per minute
and 2nd inlet will fill = (13/15) litre water per minute
and outlet will empty = –(13/4) litre water per minute
According to the question:
Total water filled till 3 : 00 PM = 2 × 60 + (13/15) × 60 = 172 litres
Now pipe C will be opened
Net efficiency when all 3 are opened = 1 + (13/15) – (13/4) = –(83/60) litre per minute or –83 litres per hour
So, Required Time = (172/83) = 2 hour 4 minutes (approx.)
11. 18 boys and 24 girls can complete a piece of work in 16 days. All of them started working together but after 12 working days, all girls and 6 boys stopped working. 12 boys complete the remaining work in 9 days. How many days will it take to complete the entire job if only 24 girls have to complete the job?
A. 48 days
B. 24 days
C. 32 days
D. 40 days
E. None of these
Answer: A
Explanation:
Amount of work done by 18 boys and 24 girls in 12 days = 12/16=3/4
Remaining work = 1- 3/4= 1/4
Now 12 boys complete ¼ work in 9 days
Therefore 18 boys can complete the entire work in
9*4*12/18 = 24 days
24 girls have to complete the job= 1/16 – 1/24= 1/48 = 48 days
12. 48 men can do a work in 5 days while 40 women can do the same work in 9 days. In how many days 4 men and 6 women together can do the same work?
A. 24 days
B. 30 days
C. 32 days
D. 42 days
E. 48 days
Answer: B
Explanation: 
13. Rahul can do a piece of work in 20 days whereas Rohan can do the same work in 30 days. Both started the work together and worked for 6 days with full efficiency and in the next 6 days with half of their efficiencies. In how many days will the remaining work be finished if both of them work with their full efficiencies for the remaining period?
A. 5 days
B. 10 days
C. 3 days
D. 7 days
E. None
Answer: C
Explanation: 
Work done in 6 days = (3+2) × 6 = 5×6 = 30 units
Now, next 6 days they work with half of their efficiencies:
Rahul efficiency = 3/2; Rohan efficiency = 1 unit/day
Work done in these 6 days = (3/2 + 1) × 6 = 15 unit
Remaining work = 60 – (30+15) = 15 units
Time Required to do 15 units work with full efficiency= 15/5 = 3 days
Hence, option C is the correct answer.
14. If twenty-five persons working 15 hours a day can complete 5 unit of work in 8 days. How many days required by 12 persons to complete 10 units of work working 20 hours a day?
A. 24 days
B. 20 days
C. 22 days
D. 25 days
E. None
Answer: D
Explanation: 
15. A and B can do a work in 15 days and 20 days respectively. A and B work together for 4 days and remaining work is done by C in 8 days. If they are paid Rs. 6000 for this work then find the daily income of each.
A. 600, 300, 400
B. 400, 300, 300
C. 400, 300, 400
D. 300, 400, 400
E. None
Answer: C
Explanation: 
16. A, B, C alone can do a piece of work in 9, 12 and 18 days respectively. They all started the work together, but A left after 3 days. In how many days, was the remaining work completed?
A. 2
B. 5/2
C. 11/4
D. 9/5
E. None
Answer: D
Explanation: 
17. A and B can do a piece of work in 6 days and 8 days, respectively. With the help of C, they complete the work in 3 days and earned Rs 1848. What was the share of C?
A. Rs.231
B. Rs.924
C. Rs.462
D. Rs.693
E. None
Answer: A
Explanation: 
18. Dev can do a piece of work in 17 days. Arun can do same work in 5 days. If they start working together, in how many days will they complete the work?
A. 3.2days
B. 3.4 days
C. 3.8 days
D. 3.5 days
E. None
Answer: C
Explanation: 
19. 13 persons working 42 hours a day can complete a work in 10 days. In how many days 26 persons working 14 hours day will complete 30% of work?
A. 9 days
B. 5 (1/3) days
C. 6 (1/5)days
D. 4 (1/2) days
E. None
Answer: D
Explanation: 
20. Efficiency of Amit is 25% more than Piyush who complete a task in 90 days. Ram takes 12 days less than days taken by Amit & Piyush together to complete the work. If Amit and Piyush worked for 10 days, after that both left the task, then find in how many days Ram will complete the remaining work?
A. 14 days
B. 21 days
C. 28 days
D. 35 days
E. None
Answer: B
Explanation: 
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Time and Work Aptitude Questions and Answers with Solutions
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