NDA- CDSE Maths Revision

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      Arithmetics For AFCAT Set -01- Compiled by www.ssbcoaching.com

 1. Time and Work

If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?
          a) 60 Days
          b) 45 Days
          c) 40 Days
          d) 30 Days

 2. 
If A and B together can complete a work in 18 days, A and C together in 12 days, and B and C together in 9 days, then B alone can do the work in:
          a) 18 Days
          b) 24 Days
          c) 30 Days
          d) 40 Days

 3. 
A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in
          a) 5 Days
          b) 6 Days
          c) 9 Days
          d) 10 Days

 4. A can complete a piece of work in 18 days, B in 20 days and C in 30 days, B and C together start the work and forced to leave after 2 days. The time taken by A alone to complete the remaining work is:
          a) 19 Days
          b) 10 Days
          c) 8 Days
          d) 6 Days
          e) 5.5 Days

 5. Working 5 hours a day, A can Complete a work in 8 days and working 6 hours a day, B can complete the same work in 10 days. Working 8 hours a day, they can jointly complete the work in:
          a) 10 Days
          b) 12 Days
          c) 5 Days
          d) 6 Days
          e) 3 Days

 6. 
Ganga and Saraswati, working separately can mow field in 8 and 12 hours respectively. If they work in stretches of one hour alternately. Ganga is beginning at 9 a.m., when will the moving be completed?
          a) 6 P.M.
          b) 6:30 P.M
          c) 5 P.M
          d) 5.30 P.M
          e) 5.45 P.M

 7. 
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:
          a) 12 Days
          b) 10 Days
          c) 9 Days
          d) 8 Days
          e) 7.5 Days

 8. 
To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it?
          a) 30 Days
          b) 35 Days
          c) 40 Days
          d) 45 Days

 9. 
If 10 men or 20 boys can make 260 mats in 20 days, then how many mats will be made by 8 men and 4 boys in 20 days?
          a) 260
          b) 240
          c) 280
          d) 520

 10. 
A complete 7/10 of a work in 15 days, then he completed the remaining work with the help of B in 4 days. In how many day A and B can complete entire work together?
          a) 10(1/2) days

          b) 12(2/3) days
          c) 13(1/3) days
          d) 8(1/4) days

 11. A can complete a piece of work in 36 days, B in 54 days and C in 72 days. All the three began the work the work together but A left 8 days before the completion of the work and B 12 days before the completion of work. Only C worked up to the end. In how many days was the work completed?
          a) 24
          b) 25
          c) 27
          d) 39

 12. While working 7 hour a day, A alone can complete a piece of work in 6 days and B alone in 8 days. In what time would they complete it together, 8 hour a day?
          a) 3 Days
          b) 4 Days
          c) 2.1 Days
          d) 3. 6 Days

 13. Two pipes, P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes, P is turned off. In how many more minutes will q fill the cistern?
          a) 7
          b) 7 and 1/2 
          c) 8
          d) 8 and 1/4

 14. Two pipes can fill an empty tank separately in 24 minutes and 40 minutes respectively and a third pipe can empty 30 gallons of water per minute. If all three pipes are open, empty tanks become full in one hour. The capacity of the tank (in gallons) is:
          a) 800
          b) 600
          c) 500
          d) 400

 15. .
A cistern can be filled by two pipes in 20 and 30 minutes respectively. Both pipes being opened, when the first pipe must be turned off so that the cistern may be filled in 10 minutes more.
          a) after 10 minutes
          b) after 12 minutes
          c) after 20 minutes
          d) after 8 minutes 


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