Selected Math Question For OSSC Exam | Top 1000 | Set 6 |

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#1. 4 men and 3 women finish a job in 6 days, and 5 men and 7 women can do the same job in 4 days. How long will 1 man and 1 woman take to do the work?

#2. A person bought pens at 25 for a rupee and sold at 15 for a rupee. What is his profit per cent?

#3. Three taps P, Q and R can fill a tank in 20, 30 and 40 minutes respectively. If all the three taps are opened, then how much time (in minutes) it will take to completely fill the tank?

#4. A large tanker can be filled by two pipes A and B in 36 min and 60 min, respectively. How many minutes will it take to fill the tanker from empty state, if only A is used for first half of the time and A and B fill it together for the other half?

#5. A tank has an inlet pipe which can fill the tank in 9 hours, and an outlet pipe which can empty the tank in 10 hours. The inlet pipe was opened at 8 am, when the tank was empty, but by mistake the outlet pipe also remained open. The operator realized at 9 am that the outlet pipe is open and he closed·it. At what time will the tank be full?

#6. Raman can do a work in 5 days, Jatin can do the same ,vork in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?

#7. A alone can do a work in 12 days while A and B together can do that work in 7.5 days; Find the time taken by C alone to do that work if C takes 3 days more than that of B alone to do that work?

#8. Two pipes A and B can fill an empty tank in 10 hours arid 15 hours respectively. Pipe C alone can empty the completely filled tank in 12 hours. First both pipes A and B are opened and after 5 hours pipe C is also opened. What is the total time (in hours) in which the tank will be filled?

#9. A speed of 30.6 km/hr is the same as

#10. A person covers 40% of a distance with a speed of 60 km/h and the remaining with a speed of 40 km/h. What is his average speed for the whole journey in km/h?

#11. Two pipes N and Q can fill a water tank in 90 and 10 hours respectively. If they are opened together, then in how many hours will the tank be filled?

#12. A large tanker can be filled by two pipes A and B in 36 min and 60 min, respectively. How many minutes will it take to fill the tanker from empty state, if only A is used for first half of the time and A and B fill it together for the other half? _

#13. Two trains of the same length are running on parallel tracks in the same direction at 54 km/h and42km/h respectively. The faster train passes the other train in 63 seconds. What is the length. (in metres) of each train?

#14. Two pipes N and Q can fill a water tank in 90 and 10 hours respectively. If they are opened together, then in how many hours will the tank be filled?

#15. 12 men can do a work in 10 days while 10 women can do the same work in.18 days. In how many days 4 men and 6 women together can do the same work?

#16. If a shopkeeper marks an item 50% above its CP and if 12% discount is given on the marked price and the shopkeeper makes profit of 256, then what will be the actual cost price of the item?

#17. Pipes A and B can fill an empty tank in 6 and 8 hours respectively, while pipe C can empty the full tank in 10 hours. If all three pipes are opened together, then the tank will get filled in

#18. 56 workers can finish a piece of work in 14 days. If the work is to be complete in 8 days, then how many extra workers are required?

#19. The ratio between the speeds of two trains is 2 : 5. If the first train runs 350 km in 5 h, then the difference between the speeds (in km/h) of both the trains is

#20. 'A' can complete a work in 20 days while B is 25% more efficient than 'A'. B worked for 6 days and left, remaining work is completed by 'C' in 15 days. Find in how many days 'C' can complete the whole work alone?

#21. If income of Ravi is 20% more than that of Ram, then income of Ram is how much percent less than that of Ravi?

#22. If pipes A and B can fill a tank in 15 min and 20 mins respectively and pipe C empties the tank in 12 mins, what will be the time taken by A, B and C together to fill the tank completely?

#23. The present population of the village is 6200. If the number of males increases by 12% an the number of females increases by 16%, then the population will become 7072. What is the present population of females in the village?

#24. Paul sold a machine for 42,600 with a discount of 29% on the labeled price and made a profit of 6.5%. What would have been the percent profit if the machine was sold without any discount on the labeled price?

#25. A man riding his bicycle covers 150 metres in 25 seconds. What is his speed in km per hour?

#26. Train A takes 45 minutes more than train B to travel a distance of 450 km. Due to engine trouble speed of train B falls by a quarter, so it takes 30 minutes more than Train A to complete the same journey. What is the speed of Train A (in km/hr)?

#27. A alone can do a work in 24 days. Time taken by A in completing ½ of work is equal to the time taken by B in completing ½ of the work. In what time A and B together will complete the work?

#28. A can do a work in 36 days while B can d the same in 48 days. If A work for x days while B work for x + 2 days then one-third of the work is complete. Find the value of x. .

#29. 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

#30. Vijay and Sahil together complete a piece of work in 40 days. Sahil nnd Ranjit can complete the same work in 48 days and Ranjit and Vijay can complete the same work in 60 days. In how many days can all the three complete the same work while working together?

#31. One pipe can fill a tank in 9 hours, while another pipe can empty it in 12 hours. If both the pipes are opened simultaneously, then how much time will be taken to fill the tank?

#32. To cover a distance of 22 km in 2.5 hours, what should be the average speed of the car in metre/ second?

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