• 1. 
    The wages of laborers in a factory increased in the ratio 22:25 and there was a reduction in the labors in the ratio 15:11. Find the original wage bill if the present bill is Rs.5000.

  • Rs.5000
  • Rs.6000
  • Rs.7000
  • Rs.8000
  • Rs.5500
  • 2. 
    A water tank is (3/5)th full. Pipe A can fill the tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

  • 6 minutes to empty
  • 6 minutes to fill
  • 9 minutes to empty
  • 9 minutes to fill
  • None of these
  • 3. 
    P and Q do a work in 21 days. Q and R do that work in 35 days, whereas R and P complete the same work in 28 days. In how many days P alone can complete the work?

  • 840/23
  • 840/21
  • 830/19
  • 810/18
  • None of these
  • 4. 
    Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone, he would need \(4\frac{1}{2}\) hours more to complete the job than they both working together. What time would they take to do the work together?

  • 4 hours
  • 5 hours
  • 6 hours
  • 7 hours
  • None of these
  • 5. 
    A cistern is provided with two pipes A and B. A can fill a cistern in 20 minutes and B can empty it in 24 minutes. If A and B pipes are opened on alternate minutes starting with pipe A, find in how many hours, the cistern shall be full?

  • 4 hours 49 min.
  • 3 hours 49 min.
  • 3 hours 18 min.
  • None of these
  • Can’t be determined
  • 6. 
    If both pipes are opened simultaneously at a time when the tank was one-third filled, how much time will the tank take to fill thereafter?

  • 3/2 hours
  • 2/3 hours
  • 2 hours
  • 5/3 hours
  • 3 hours
  • 7. 
    5 men and 2 boys together in 1 hour do 4 times work as 1 man and 1 boy do in an hour. Determine the ratio of the efficiency of a man and a boy.

  • 4 : 1
  • 1 : 4
  • 3 : 4
  • 2 : 1
  • 1 : 2
  • 8. 
    A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 a.m. while machine P is closed at 11 a.m. and the remaining two machines complete the work. Approximately at what time will the work be finished?

  • 11:30 a.m.
  • 12 noon
  • 12:30 p.m.
  • 1 p.m.
  • 2 p.m.
  • 9. 
    Sanjay is twice as good a workman as his brother and together they finish a piece of work in 18 days. In how many days would Sanjay alone finish the work?

  • 24 days
  • 27 days
  • 25 days
  • 28 days
  • 32 days
  • 10. 
    Which pair among the following will be able to finish fencing the wall in the least time?

  • Raju and Shiv
  • Shiv and Vineet
  • Raju and Vineet
  • Either (2) or (3)
  • None of these
  • 11. 
    Alok can mow the garden in 10 days, Bikram in 15 days and Dilip in 20 days. How soon the garden be mown if Alok is assisted by Bikram on one day and by Dilip on the next day alternately?

  • 8\(\frac{6}{{19}}\) days
  • 6\(\frac{6}{{19}}\) days
  • 6\(\frac{3}{{10}}\) days
  • 5\(\frac{6}{{19}}\) days
  • 7\(\frac{6}{{19}}\) days
  • 12. 
    If 3 men with 4 boys can earn Rs. 2100 in 7 days, and 11 men with 13 boys can earn Rs. 8300 in 8 days, in what time will 7 men with 9 boys earn Rs. 11000?

  • 8 days
  • 12 days
  • 16 days
  • 18 Days
  • None of these
  • 13. 
    Two taps A and B can fill a bath tub in 15 minutes and 20 minutes respectively. If the drain valve is open they can together fill in 24 minutes. Find the time in which drain can empty the tub.

  • 5 minutes
  • 6 minutes
  • 6.5 minutes
  • 9 minutes
  • 13.33 minutes
  • 14. 
    If two pipes P and Q are such that, they can fill a large tub in 6 and 18 minutes respectively. They are opened on alternate minutes. Find in how many minutes, the tub shall be full?

  • 6 min.
  • 10 min.
  • 18 min.
  • 24 min.
  • None of the above
  • 15. 
    A cistern that would normally be filled in 6 hours is now taking 4 hours more because of a leak. In how much time will the leak empty the completely filled cistern?

  • 12 hours
  • 8 hours
  • 15 hours
  • 9 hours
  • 13 hours
  • 16. 
    A cistern can be filled with water by a pipe in 6 hours and it can be emptied by the second pipe in 4 hours. If both pipes are opened when the cistern is full, the time in which it would be empty is :

  • 10 hours
  • 12 hours
  • 14 hours
  • 16 hours
  • None of these
  • 17. 
    A takes 4 days to complete one-third of a job, B takes 3 days to complete one-sixth of the same job and c takes 5 days to complete half the job. If all of them work together for 2 days and A & C quit, how long will it take B to complete the remaining job done.

  • 8 days
  • 8.1 days
  • 10 days
  • 9 days
  • 9.4 days
  • 18. 
    A can complete 2/3 of a certain job in 6 days. B can complete 1/3 of the same job in 8 days and C can complete 3/4 of the work in 12 days. All of them work together for 4 days and then A and C quit. How long will it take for B to complete the remaining work alone?

  • 3.8 days
  • 3.33 days
  • 2.22 days
  • 4.3 days
  • 4.67 days
  • 19. 
    How many liters does the tank hold which has a leak in the bottom that can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 6 liters a minute. When the tank is full, the inlet is opened and due to the leak, the tank is emptied in 10 hours.

  • 5580
  • 5960
  • 6290
  • 5640
  • None of these
  • 20. 
    A cistern is filled by a tap in 15 hours. Due to a leak in the bottom of the cistern, it takes 5 hours longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?(assume rate of leakage will be constant).

  • 70 hours
  • 60 hours
  • 30 hours
  • 40 hours
  • 50 hours
  • 21. 
    If 80 lamps can be lighted 5 hours per day for 10 days for Rs. 21.25, then the number of lamps which can be lighted 4 hours daily for 30 days for Rs. 76.50, is:

  • 190
  • 120
  • 140
  • 130
  • None of these
  • 22. 
    ‘A’ can complete a piece of work in 20 days. ‘A’ and ‘B’ together can complete the same piece of work in 16 days. How many days are required by ‘B’ alone to complete the same piece of work?

  • 56 days
  • 80 days
  • 40 days
  • 64 days
  • None of these
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