1. Given below is a question followed by three statements. Identify the statement, which is/are necessary to answer the question. 'What is the speed of the train'?
(A) The train crosses another train running in opposite direction in 20 seconds
(B) The train crosses a platform of length 300 m in 30 seconds
(C) The train crosses a pole in 10 seconds Choose the most appropriate option :

2. A solid is in the form of a cylinder with hemispherical ends. The diameter of the cylinder is 1/3 of its height (excluding the hemispherical ends). The total length of the solid including the hemispherical ends is 56 cm. What is the surface area of the solid'?

3. Given below is question (Q) followed by three statements. Identify the statements (A. B. C) that are necessary to answer the question. Question: What is the average age of 30 students studying in a class?
(A) Boys and girls in the class are in the ratio 7:8
(B) The average age of boys and girls is 12.2 years and 11.4 yeais. respectively.
(C) The number of boys in the class is two less than the number of the girls in the class. Choose the correct option from those given below:

4. The sum of all even natural numbers between 1 and 81 is:

5. A student obtains overall 78% marks in his examination consisting of Physics, Chemistry, Mathematics, Computer Science and General English. Marks obtained in each subject and the maximum marks are indicated in the following table. Subject Physics (200 max marks) Chemistry (100 max marks) Mathematics (200 max marks) Computer Science (200 max marks) General English (100 max marks) Marks Obtained 155 80 165 140 X The marks (X) obtained by the student in General English would be

6. If the radius of a circle is increased by 50%, the perimeter of the circle will increase by

7. At present, a mother is 3 times older than her son. After 5 years, the sum of their ages will be 70 years. The age of the mother after 10 years will be

8. If the number 345xy is divisible by 90, then (x + y)?

9. If x and y are two positive numbers and x is 25% greater than y, what is the value of the ratio y/x?

10. If 3% of (a + b) = 7% of (ab) and 5% of (a – b) = 4% of (ab) then what percentage of b is a?

11. Four pipes can fill a reservoir in 15, 20, 30 and 60 hours respectively. The first one was opened at 6 AM, second at 7 AM, third at 8 AM and the fourth at 9 AM. When will the reservoir be filled ?

12. If 0.75 x = 0.02 y, then the value of y x y x −is:

13. In a new budget, the price of petrol rose by 25%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase?

14. In a certain cricket tournament 45 matches were played. Each team played once against each of the other teams. The number of teams participated in the tournament is

15. In an examination, 35% of the total students failed in Hindi, 45% failed in English and 20% in both. The percentage of those who passed in both subjects is

16. The average of 35 raw scores is 18. The average of first seventeen of them is 14 and that of last seventeen is 20. Find the eighteenth raw score.

17. The price of petrol increases by 25%. By what percentage must a customer reduce the consumption so that the earlier bill on the petrol does not alter ?

18. 40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is ` 39,000. The annual income of each executive is ` 42,000. What is the average annual income of all employees in the factory together?

19. The world population growth rate at a certain reference year was 3.5%. Assuming exponential growth of population, after how many years, the population of the world would have increased by a factor 16 ?

20. In a college having 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspapers required is

21. If an article is sold for ` 178 at a loss of 11%; what would be its selling price in order to earn a profit of 11%?

22. On a map, 1 inch represents 250 miles. What is the actual distance between two cities if they are 4 1 2 inches apart on the map?

23. Two railway tickets from city A to B and three tickets from city A to C cost ` 177. Three tickets from city A to B and two tickets from city A to C cost ` 173. The fare for city B from city A will be ?

24. A sum of `2,000 yields `180 with simple interest in nine
(9) months. The annual rate of interest is

25. A group of 210 students appeared in some test. The mean of 1 3 rd of students is found to be 60. The mean of the remaining students is found to be 78. The mean of the whole group will be :