• 1 . 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.

  • 2 . If a pipe A fills a tank in 10 hrs and pipe B empties it in 15 15 hrs, then in how much time will the tank be filled up if A & B are both opened?

  • 3 . Hansie made the following amounts in seven games of cricket in India: Rs.10, Rs.15, Rs.21, Rs.12, Rs.18, Rs.19 and Rs.17(all figures in crores of course).Find his average earnings.

  • 4 . The average of 30 innings of a batsman is 20 and another 20 innings is 30. What is the average of all the innings?

  • 5 . There are two trees in a lawn. One grows at a rate 3/5 of the other in 4 years. If the total growth of trees is 8 ft. What is the height of the smaller tree after 2 years

  • 6 . In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

  • 7 . In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either.How many of these studied both Latin and Greek

  • 8 . In June a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?

  • 9 . A mixture of 40 litres of milk contains 20% of water. How much water must be added to make the water 25% in the new mixture?

  • 10 . Find the number whose square is equal to the difference between the squares of 75.12 and 60.12

  • 11 . Find the sum up to 30 terms of the A.P. 2 + 9 + 16 + 23 + ....

  • 12 . Out of thousand people, 450 subscribe for India Today and 600 for Outlook magazine. 200 subscribe for both. How many do not subscribe to any magazine?

  • 13 . Two pipes P & Q can separately fill a cistern in 12 minutes and 18 minutes respectively. In how many minutes can both the pipes fill the cistern, if opened together?

  • 14 . The diagonal of a square field is 50m. Find the area of the field.

  • 15 . Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

  • 16 . In a fraction, if 1 is added to both the numerator at the denominator, the fraction becomes 1/2. If numerator is subtracted from the denominator, the fraction becomes 3/4. Find the fraction.

  • 17 . There are 200 questions on a 3 hr examination.Among these questions are 50 mathematics problems.It is suggested that twice as much time be spent on each maths problem as for each other question.How many minutes should be spent on mathematics problems

  • 18 . If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?

  • 19 . A contractor undertook to do a piece of work in 125 days and employs 175 men to carry out the job, but after 40 days, he finds that one a quarter of the work had been carried out. How many more men should be employed to finish the work in time?

  • 20 . In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?