General Aptitude - Time and Work
Exam Duration: 45 Mins Total Questions : 30
A can type a report in 16 h and B can do the same job in 12 h. With the help of C they complete the report in 6 h. Then, C alone can type the report in how many hours?
- (a)
48 h
- (b)
42 h
- (c)
45 h
- (d)
49 h
Working together P and Q can do a job is 6 days, Q and R can do the same job in 10 days while while P and R can do it in 5 days. How long will it take if all of them work together to complete the job?
- (a)
\(4\frac { 2 }{ 7 } \)
- (b)
\(4\frac { 3 }{ 7 } \)
- (c)
\(4\frac { 4 }{ 7 } \)
- (d)
\(4\frac { 5 }{ 7 } \)
Sudha can do a work in 10 days and Rani can do the same work in 40 days respectively. If they work at it on alternate days Sudha beginning the work, then in how many days the work, then in how many days the work will be completed?
- (a)
16 days
- (b)
8 days
- (c)
12 days
- (d)
14 days
A is twice as good a workmen as B and together they finish a piece of work in 24 days. In how many days will B alone finish the work?
- (a)
63 days
- (b)
75 days
- (c)
60 days
- (d)
72 days
Anita can do a work in 30 days. Sunita is 25% more efficient, then Anita. The number of days taken by Sunita to do the same work is
- (a)
24 days
- (b)
30 days
- (c)
27 days
- (d)
33 days
X can do a work in 4 days whle Y can do the same work in 9 days. Both of them finish the worj together and get Rs. 2600. Find the sahres of X and Y respectively.
- (a)
Rs 1800, Rs 800
- (b)
Rs 2000, Rs 600
- (c)
Rs 1500, Rs 1100
- (d)
Rs 1900, Rs 700
A and B workng together can finish a job in T days. If A works alone and completes the job he will take (T+5) days. If B works alone and completes the same job, he will take (T+45) days. Find T.
- (a)
15 days
- (b)
20 days
- (c)
16 days
- (d)
18 days
A completes 60% of a task in 15 days and then, takes the help of B and C. B is 50% efficient as A and C is 50% as efficient as B is. In how many more days will they complete the work?
- (a)
\(5\frac { 5 }{ 7 } day\)
- (b)
\(4\frac { 2 }{ 5 } days\)
- (c)
\(6\frac { 2 }{ 7 } days\)
- (d)
\(3\frac { 2 }{ 7 } days\)
A and B can do piece of woek seperately in 8h and 12 h. If they work alternate hours, A starting when will the work be finished?
- (a)
\(9\frac { 1 }{ 2 } h\)
- (b)
9 h
- (c)
\(8\frac { 1 }{ 2 } h\)
- (d)
8 h
4 men and 6 boys can do a piece of work in 8 days and 6 men and 4 boys can do it 7 days. If the daily wages of a voy be Rs 20. What will be the weekly wages of a man?
- (a)
Rs.260
- (b)
Rs.280
- (c)
Rs.240
- (d)
Rs.290
A man, a woman and boy can together complete a piece of work in 5 days. If a man alone can do it in 12 days and a boy alone in 15 days, how long will a woman take to complete the work?
- (a)
20 days
- (b)
18 days
- (c)
21 days
- (d)
15 days
Pipe A can fill a tank in 30 mihn and pipe C can empty the full tank in 1 h. If all the pipes are opened togethyer, how much time will be needed to mak tank full?
- (a)
14 min
- (b)
12 min
- (c)
15 min
- (d)
18 min
A tap can fill a cistern in 12 h. After half the tank is filled, 2 more similar taps are opened. What is the total time taken to fill the tank complete bys?
- (a)
9 h
- (b)
6 h
- (c)
8 h
- (d)
4 h
An electric pump can fill a reservior in 36 h. Bacause of a leak in the reservior it took 45 h to fill the reservior. When the reservior is full, how much time will the leak take to empty it?
- (a)
180 h
- (b)
175 h
- (c)
185 h
- (d)
170 h
A cistern has three pipes A, B and C. The pipes A and B can fill it in % h and 6 h respectively and C can empty it in 3 h. If the pipes are opened in order at 3 pm, 4 pm and 5 pm respectively at what time will the tank be filled?
- (a)
6 am
- (b)
5 am
- (c)
4 am
- (d)
7 am
A cistern has a leak which would empty it in 10 h. A tap is turened on which admits 4 l a minute into the cistern and it is now emptied in 15 h. How many litres does the cistern hold?
- (a)
7400 L
- (b)
7200 L
- (c)
7100 L
- (d)
7500 L
A water tank of 3000 L capacity is connected to a tap which can fill it at the rate of 35L/min and water is let out at the same time at the rate of 5 L/min. After 2 h. the outlet is shut off. Find how long will it take now for the tank to become full?
- (a)
25 min
- (b)
26 min
- (c)
22 min
- (d)
24 min
A alone can do a piece of work in 12 days. B alone can do it in 15 days. If the total wages for the entire job are Rs. 9081. If they both finish the work together what is the share of A?
- (a)
5045
- (b)
5046
- (c)
5047
- (d)
5048
Construction of a raod was entrusted to a civil engineer. He was to finish the work in 124 days for which he employees 120 workmen. Two-thirds of the work was completed in 4 days. In how many days can A alone complete the work?
- (a)
80
- (b)
64
- (c)
56
- (d)
24
Working 7 h daily 24 men can complete a piece of work in 27 days. In how many days would 14 men complete the same piece of work working 9h daily?
- (a)
29 days
- (b)
39 days
- (c)
36 days
- (d)
30 days
In what time would a cistern be filled by three pipes whose diameters are 2 cm, 3 cm, 4 cm, running together, when the largest alone can fill it is 58 min? The amount of water flowing in each pipe is propotional to the square iun each pipe is propotional to the aquare of its diameter.
- (a)
36 min
- (b)
32 min
- (c)
23 min
- (d)
28 min
There is a leak in the bottom of a cistern. Before the leak, it could be filled in \(4\frac { 1 }{ 2 } h\) . It now takes \(\frac { 1 }{ 2 } h\) longer. If the cistern is full, in how much time would the leakage empty the full cistern?
- (a)
45 h
- (b)
40 h
- (c)
36 h
- (d)
56 h
If 15 men or 24 women or 36 boys can do a piece of work in 12 days, working 8 h a day, how many men must be associated with 12 women and 6 boys to do another piece of work \(2\frac { 1 }{ 4 } \) times as great in 30 days working 6 h a day?
- (a)
4
- (b)
8
- (c)
6
- (d)
10
A bath tube can be filled by a cold water pipe in 20 min and by a hot water pipe in 30 min. A person leaves the bathroom after turning on both pipes simultaneously and returns at the moment when the bath tub should be full. Finding however, that the waster pipe has ben open, he now closes it. IN 3 min more the bath tub is full. In what time would the waste pipe empty it?
- (a)
38 min
- (b)
45 min
- (c)
43 min
- (d)
48 min
Two coal loading machines each working 12 h/day for 8 days handle 900 tonnes of coal with an efficency of 90; while 3 other coal loading machines at an efficiency of 80% are set to handle 12000 tonnes of coal in 6 days. Find how many hours per day each should work?
- (a)
20 h/day
- (b)
18 h/day
- (c)
16 h/day
- (d)
14 h/day
If 36 men can dig a trench 200m long, 3 m wide and 2 m deep in 6 days working 10 h a day, in how many days working 8 h/day will 10 men dig a trench 100 m ling, 4 m wide and 3 m deep?
- (a)
15 days
- (b)
27 days
- (c)
20 days
- (d)
54 days
Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outlet pipes. Exh inlet ppe can fill the tank in 9 h and each outlet pipe can empty the tank in 6h. On opening all the pipes, an empty tank is filled in 9h. The number of inlet pipes is
- (a)
2
- (b)
4
- (c)
3
- (d)
5
In a factory men, women and children were employed in the ratio of 8:5:1 to finish a job and their individua wages were in the ratio of 5:2:3. When 20 women were employed, the total daily wages of all amounted to Rs.318. Find the total daily wages in rupees paid to each category.
- (a)
210, 70 and 38
- (b)
240, 60, 18
- (c)
200, 90, 28
- (d)
Cannot be determined
Sita takes tice as much time as Gita to complete a work and Rita does it in the same time as Sita and Gita together. If all three working together can finish the work in 6 days, then the time taken by Gita, Sita and Rita to finifh the work, is
- (a)
18, 36 and 12 days
- (b)
20, 38 and 14 days
- (c)
24, 42 and 18 days
- (d)
None of the above
A cistern is provided by two taps A and B. A can fill it in 20 min and B in 25 min. Both the taps are kept open for 5 min an then the tap B is turned off. The cistern will be completely filled in another
- (a)
11 min
- (b)
10 min
- (c)
15 min
- (d)
12 min
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