Time and work.pdf

Time and work

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2. A canal of a village can be cleaned by 24 villagers in 12 days. The
number of days in which 36 villagers can clean the canal is :
(1) 18
(2) 8
(3) 72
(4) 16
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3. If 42 person consume 144 kg of wheat in 15 days, then in how
many days will 30 person consume 48 kg of wheat?
(1) 8 days
(2) 7 days
(3) 12 days
(4) 6 days
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4. If 35 men can finish a piece of work in 8 days, then the number of
men who can do the same work in 10 days is :
(1) 38
(2) 28
(3) 19
(4) 17
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5. 39 persons can repair a road in 12 days worldng 5 hours a day. In
how many days will 30 persons working 6 hours a day complete
the work?
(1) 10 days
(2) 13 days
(3) 14 days
(4) 15 days
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6. If 72 men can build a wall of 280m length in 21 days, how many
men could take 18 days to build a similar type of wall of length
100 m?
(1) 30
(2) 10
(3) 18
(4) 28
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7. A wall of 100 metros can be built by 7 mentor 10women in 10 days.
How many days will 14 men and 20 women take to build a wall of
600 metres ?
(1) 15
(2) 20
(3) 25
(4) 30
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8. 5 persons can prepare an admission list in 8 days working 7
hours a day. If 2 persons join them so as to complete the work
in 4 days, they need to work per day for :
(1) 10 hours
(2) 9 hours
(3) 12 hours
(4) 8 hours
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9. 4 mat-weavers can weave 4 mats in 4 days. At the same rate how
many mats would be woven by 8 mat-weavers in 8 days ?
(1) 4
(2) 8
(3) 12
(4) 16
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10. 10 men working 6 hours a day can complete a work in 18 days.
How many hours a day must 15 men work to complete the same
work in 12 days ?
(1) 6 hours
(2) 10 hours
(3) 12 hours
(4) 15 hours
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11. Two persons can complete a piece of work in 9 days. How
many more persons are needed to complete double the work in
12 days?
(1) 3
(2) 2
(3) 4
(4) 1
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12. If p men working p hours per for p days produce p units of
work, then the units of work produced by n men working it hours
a day for n days is :
(1) (p/n)^2
(2) (p^3)/(n^2)
(3) (n/p)^2
(4) (n^3)/(p^2)
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13. If 10 men can do a piece of work in 12 days, the time taken by 12
men to do the same piece of work will be :
(1) 12 days
(2) 10 days
(3) 9 days
(4) 8 days
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14. 7 men can complete a piece of work in 12 days. How many
additional men will be required to complete double the work in 8
days?
(1) 28
(2) 21
(3) 14
(4) 7
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15. 'x' number of men can finish a piece of work in 30 days. If there
were 6 men more, the work could be finished in 10 days less. The
original number of men is :
(1) 6
(2) 10
(3) 12
(4) 15
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16. Some carpenters promised to do a job in 9 days but 5 of them were
absent and remaining men did the job in 12 days. The original
number of carpenters was :
(1) 24
(2) 20
(3) 16
(4) 18
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17. Working 8 hours a day, Anu can copy a book in 18 days. How
many hours a day should she work so as to finish the work in
12 days ?
(1) 12 hours
(2) 10 hours
(3) 11 hours
(4) 13 hours
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18. Some persons can do a piece of work in 12 days. Two times the
number of such persons will do half of the work in :
(1) 9 days
(2) 6 days
(3) 5 days
(4) 3 days
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19. If the work done by (x-1) men in (x + 1) days is to the work done
by (x + 2) men in (x- 1) days are in the ratio 9 : 10, then the value
of x is equal to :
(1) 5
(2) 6
(3) 7
(4) 8
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20. If 80 persons can finish a work within 16 days by working 6
hours a day, the number of hours a day, should 64 persons work
to finish that very job within 15 days is :
(1) 5 hrs.
(2) 7 hrs.
(3) 8 hrs.
(4) 6 hrs.
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21. 18 boys can do a piece of work in 24 days. In how many days
can 27 boys do the same work?
(1) 16 days
(2) 32 days
(3) 23 days
(4) 48 days
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22. If x men can do a piece of work in X days, then the number of
days in which y men can do the same work is :
(1) xy days
(2) (Y^2)/x days
(3) (x^2)/y days
(4) (X^2)*y days
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23. 30 men can repair a road in 18 days. They are joined by 6 more
workers. Now the road can be repaired in :
(1) 14 days
(2) 15 days
(3) 16 days
(4) 17 days
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24. A contractor undertook to finish a work in 92 days and employed
110 men. After 48 days, he found that he had already done 3/5 part
of the work, the number of men he can withdraw so that the work
may still be finished in time is :
(1) 45
(2) 40
(3) 35
(4) 30
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25. A man undertakes to do a certain work in 150 days. He employs
200 men. He finds that only a quarter of the work is done in 50
days. The number of additional men that should be appointed so
that the whole work will be finished in time is :
(1) 75
(2) 100
(3) 125
(4) 50
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26. A contractor undertook to finish a certain work in 124 days and
employed 120 men. After 64 days, he found that he had already
done 2/3 of the work. How many men can be discharged now so
that the work may finish in time?
(1) 48
(2) 56
(3) 40
(4) 50
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27. If 7 men working 7 hrs a day for each of 7 days produce 7 units
of work, then the units of work produced by 5 men working 5
hrs a day for each of 5 days is :
(1) 25/343
(2) 125/49
(3) 49/125
(4) 343/25
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28. Seventy-five men are employed to lay down a railway line in 3
months. Due to certain emergency conditions, the work was
to be finished in 18 days. How many more men should be
employed to complete the work in the desired time ?
(1) 300
(2) 325
(3) 350
(4) 375
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29. A contractor has the target of completing a work in 40 days.
He employed 20 persons who completed (1/4) of the work in 10
days and left. The number of persons he has to employ to finish
the remaining part as per target is :
(1) 10
(2) 20
(3) 40
(4) 30
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30. A certain number of men complete a piece of work in 60 days .
If there were 8 men more, the work can be finished in 10 days less.
The number of men originally is :
(1) 36
(2) 40
(3) 30
(4) 32
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31. A can do a piece of work in 6 days working 8 hours a day while
B can do the same work in 4 days working 10 hours a day. If
the work has to be completed in 5 days, so how many hours do
they need to work together in a day?
(1) 4
(2) 59/11
(3) 70/11
(4) 48/11
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