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Directions(1-15): Read the Questions carefully and answer the following questions

1. Seats for Maths, Physics and Biology are in the ratio of 5 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats ?

(1) 2 : 3 : 4

(2) 6 : 7 : 8

(3) 6 : 8 : 9

(4) Cannot be determined

(5) None of these

2. Samira, Mahira and Kiara rented a set of DVDs at a rent of Rs. 578. If they used it for 8 hours, 12 hours and 14 hours respectively, what is Kiara’s share of rent to be paid ?

(1) Rs. 238

(2) Rs. 204

(3) Rs. 192

(4) Rs. 215

(5) None of these

3. A sum of money is to be divided among four persons in the ratio of 2 : 3 : 4 : 5. Out of the four, one person gets Rs. 200 more than the other and Rs. 100 less than another.

What is the sum ?

(1) Rs. 2800

(2) Rs. 1400

(3) Rs. 4200

(4) Cannot be determined

(5) None of these

4. In a college the number of students studying Arts, Commerce and Science are in the ratio of 3 : 5 : 8 respectively. If the num- ber of students studying Arts, Commerce and Science is increased by 20%, 40% and 25% respectively, what will be the new ratio of students in Arts, Commerce and Science respectively ?

(1) 18 : 35 : 50

(2) 3 : 10 : 10

(3) 4 : 8 : 5

(4) 32 : 35 : 25

(5) None of these

5. 20 boys and 25 girls form a group of social workers. During their membership drive, the same number of boys and girls joined the group (e.g. if 7 boys joined, 7 girls joined). How many members does the group have now, if the ratio of boys to girls is 7 : 8 ?

(1) 75

(2) 65

(3) 70

(4) 60

(5) None of these

6. A sum of money is divided among A, B, C and D in the ratio of 3 : 4 :9 : 10 respectively. If the share of C is Rs. 2,580 more than the share of B, then what is the total amount of money of A and D together ?

(1) Rs. 5,676

(2) Rs. 6,192

(3) Rs. 6,708

(4) Rs. 7,224

(5) None of these

7. Production of company A is 120% of the production of company B and 80% of the production of company C. What is the ratio between the productions of companies A, B and C respectively ?

(1) 6 : 5 : 9

(2) 6 : 5 : 4

(3) 12 : 10 : 15

(4) 10 : 12 : 15

(5) None of these

8. Number of students in Arts and Science faculties in an institute are in the ratio of 5 : 8 respectively. If 150 more students join Art faculty while 80 more students join Science faculty, the respective ratio becomes 3 : 4. Originally what was the total number of students in both faculties together ?

(1) 1200

(2) 1400

(3) 1150

(4) Cannot be determined

(5) None of these

9. 75% of a number is equal to 5/8th of another number. What is the ratio between the first number and the second number respectively ?

(1) 5 : 4

(2) 6 : 5

(3) 4 : 5

(4) 5 : 6

(5) None of these

10. In a test, a candidate secured 336 marks out of maximum marks ‘x’. If the maximum marks ‘x’ were converted into 400 marks, he would have secured 192 marks. What were the maximum marks of the test ? (1) 700

(2) 750

(3) 500

(4) 650

(5) 800

11. Which of the following represents ah = 64 ?

(1) 8 : a = 8 : b

(2) a : 16 = b : 4

(3) a : 8 = b : 8

(4) 32 : a = b : 2

(5) None of these

12. The ratio of the number of students studying in schools A, B and C is 5 : 8 : 4 respectively. If the number of students studying in each of the schools is increased by 20%, 25% and 30% respectively, what will be the new respective ratio of the students in schools A, B and C ? (1) 13 : 25 : 15

(2) 20 : 25 : 13

(3) 15 : 25 : 13

(4) Cannot be determined

(5) None of these

13. When 30% of one number is subtracted from another number, the second number reduces to its own four-fifth. What is the ratio between the first and the second numbers respectively ?

(1) 4 : 7

(2) 3 : 2

(3) 2 : 5

(4) Cannot be determined

(5) None of these

14. The largest and the second largest angles of a triangle are in the ratio of 3 : 2 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles ?

(1) 80°

(2) 60°

(3) 100%

(4) 90°

(5) None of these

15. The ratio between the angles of a quadrilateral is 7 : 2 : 5 : 6 respectively. What is the sum of double the smallest angle and half the largest angle of the quadrilateral ?

(1) 162°

(2) 198°

(3) 99°

(4) 135°

(5) None of these