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  • 1 . Two taps A & B can fill a water reservoir in 12 and 15 hrs respectively. How long would the two taps take to fill this reservoir if both are opened together?

  • 2 . A, B and C earn Rs.120 per day while A and C earn Rs.80 per day and B and C earn Rs.66 per day. Find C?s earning only.

  • 3 . What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2.

  • 4 . Two piped A & B can fill a tank in 36 hrs and 45 hrs respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?

  • 5 . Two pipes A and B are attached to a cistern. Pipe A can fill the cistern in 6 hours while pipe B can empty it in 8 hours. When both the pipes are opened together, find the time for filling the cistern.

  • 6 . Find the 20th term of the series 5 + 9 + 13 + 17 + 21 + ...

  • 7 . In a family, eleven times the number of children is greater by 12 than twice the square of the number of children. How many children are there in the family?

  • 8 . 2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?

  • 9 . A cyclist travels to reach a post at a speed of 15 km/hr and returns at the rate of 10km/hr. What is the average speed of the cyclist?

  • 10 . Four prime numbers are given in ascending order of their magnitudes, the product of the first three is 385 and that of the last three is 1001. Find the largest of the given prime numbers.

  • 11 . Two taps can fill a tank in 24 minutes and 30 minutes respectively. Both of them are opened together, but the first tap is turned off after 8 minutes. Now find how long would the second tap take to fill the tank.

  • 12 . There are two thousand families living in a country. 900 families possess cars only, 607 possess both cars and two wheelers and 100 families possess none. How many possess only two wheelers?

  • 13 . The ratio of length of breadth of a room is 3:2 and its area is 216m2. Find its length.

  • 14 . If 12 man can do a piece of work in 36 days. In how many days 18 men can do the same work?

  • 15 . Five boys were climbing a hill. J was following H. R was just ahead of G. K was between G & H. They were climbing up in a column. Who was the second?

  • 16 . A train travels 18 km/hr. How many metres will it travel in 12 minutes.

  • 17 . A horse is placed for grazing inside a square field 12m long and is tethered to one corner by a rope 8m long. Find the grazing area of the horse.

  • 18 . If a light flashes every 6 seconds, how many times will it flash in ? of an hour?

  • 19 . A fruit seller sells mangoes at the rate of Rs.50 for 10 mangoes. For getting a profit of 60%, how many mangoes he would have purchased for Rs.50?

  • 20 . A car covers a distance PQ in 32 minutes. If the distance between P and Q is 54km., find the average speed of the car.