1. A bag contains 13 white and 7 black balls. Two balls are drawn at random. What is the probility that they are of the same colour?

2. The sum of ages of 4 members of a family 5 yr ago was 94 yr. Today, when the daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference in the age of the daughter and the daughter-in-law?

3. The simple interest accrued on a sum of certain principal is Rs 2000 in five years at the rate of 4% per annum. What would be the compound interest accrued on same principal at same rate in two years?

4. Average score of Rahul, Manish and Suresh I 63. Rahul’s score is 15 less than Ajay and 10 more than Manish. If Ajay scored 30 marks more than the average scores of Rahul, Manish and Suresh, what is the sum of Manish’s and Suresh’s scores?

5. Puneet scored 175 marks in a test and failed by 35 marks. If the passing percentage the test is 35 per cent, what are the maximum marks of the test?

6. The average speed of a car is times the average speed of a bus. A tractor covers 575 km in 23 hours. How much distance will the car covers in 4 hours if the speed of the bus is twice speed of the tractor?

7. Train-A crosses a pole in 25 seconds and another Train-B crosses a pole in 1 min and 15 sec. Length of Train-a is half length of Train-B. What is the respective ratio between the speeds of Train-a and Train-B?

8. The respective ratio between the present ages of Ram and Rakesh is 6:11. Four years ago, the ratio of their ages was 1:2 rerspectively. What will be Rakesh’s age after five years?

9. What is the least number that can be added to the number 1020 to make it a perfect square?

10. The respective ratio between the present ages of Ram, Rohan and Raj is 3:4:5. If the average of their present ages is 28 yr then what would be the sum of the ages of Ram and Rohan together after 5 yr?