Direction (1-3): Each question below is followed by two Statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.

1. If C₁ and C₂ are the circumferences of the outer and inner circles respectively, then what is the ratio of C1: C2?

I.The two circles are concentric.

II. The area of ring is of the outer circle.

2. The total of the present ages of A, B, C and D is 96 yr. What is B’s present age?

I. The average age of A, B and D is 20 yr.

II. The average age of C and D is 25 yr.

3. Deepak’s marks in Hindi are 15 more than the average marks obtained by him in Hindi, Economics, Sociology and Philosophy. What are his marks in Philosophy?

I. The total marks obtained by him in Hindi and Philosophy together is 112.

II. The difference between the marks obtained by him in Sociology and Economics is 12.

Direction (4-13): Each question below is followed by two Statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer

4. What is the value of the two digit number?

I. The product of the digits is 72 and the difference between the digit is 1.

II. The digit at the unit place is greater than the other.

5. What is the rate of interest per annum?

I. An amount of Rs. 6200 fetches simple interest of Rs. 1736 in 2 yг.

II. An amount of `4500 fetches compound interest of Rs. 1348.2 in 2 yr.

6. What is the speed of the boat in still water?

I. The boat travels at the speed of 4 km/h upstream.

II. The boat travels at the speed of 6km/h downstream.

7. What is the volume of a conical vessel?

I. The perimeter of the base of the vessel is 64 inches.

II. The volume of the vessel is 1/3^rd of the volume of a cylinder of the same base and height.

8. What will Aishwary’s age be 5 yr from now?

I. Aishwary’s present age is twice the Vaibhav’s present age.

II. Vaibhav, who is half of Aishwary’s present age, was 21 yr. old, 5 yr. ago.

9. In how many hours can A alone complete the piece of work?

I. B alone can complete the piece of work in 28 h.

II. A, B and C together can complete the piece of work in 18 h.

10. What is the rate of interest percent per annum?

Ⅰ. An amount doubles itself in 5 yr. at simple interest.

II. Simple interest of Rs. 1600 is obtained in 2 yr. on the principle of Rs. 2240.

11. Three numbers are in geometric progression and the least of them is 1. Find the middle number.

I. The sum of the numbers is 21.

II. The product of the number is 64.

12. What will be Suraj’s age after 8 yr.?

I. The ratio between Khushi’s and Suraj’s present age is 4: 7, respectively.

II. Khushi is 15 yr. younger than Suraj.

13. At a certain university, if 50% of the people who inquire about admission policies actually submit applications for admission, what per cent of those who submit applications for admission enroll in classes at the university?

I. Fifteen percent of those who submit applications for admission are accepted at the university.

II. Eighty percent of those who are accepted send a deposit to the university.

Direction (14-18): In each of the following questions, a question is followed by information given in three Statement I, II and III. You have to study the question along with the statements and decide the information given in which of the statement(s) is necessary to answer the question.

14. In how many days 10 women can finish the work?

I. 10 men finish the work in 6 days.

II. 10 women and 10 men finish the work in 3 days.

III. If 10 men work 3 days and after that 10 women are deployed to work for men, the rest work is finished in 4 days.

15. What is the present age of Sabir?

I. The present age of Sabir is half of his father’s age.

II. After five years, the ratio of ages of Sabir and his father is 6: 11.

III. Sabir is younger to his brother by five years.

16. What is the two digit number?

I. The difference between the number and the number formed by interchanging the digit is 27.

II. The difference between two digits is 3.

III. The digit at unit’s place is less than that at ten’s place by 3.

17. What is the rate of interest per cent per annum?

I. An amount doubles itself in 5 yr. on simple interest.

II. Difference between the compound interest and the simple interest earned on a certain amount in two years is `400.

III. Simple interest earned per annum is `2000

18. What is the cost of flooring the rectangular hall?

I. Length and the breadth of the hall are in the ratio of 3: 2.

II. Length of the hall is 48 m and cost of flooring is `850 per sq m.

III. Perimeter of the hall is 160 m and cost of flooring is `850 per sq m.

Direction (19-20): Each question consists of a problem followed by two statements numbered as I and II. Decide whether the data in the statements are sufficient to answer the question.

Give answer

19. What is the ratio of male to female officers in the police force in town T?

I. The number of female officers is 250 less than half the number of male officers.

II. The number of female officers is 1/7 the number of male officers.

20. If x and y are both positive integers, then how much greater is x than y?

I. x + y = 20

II. x = y²