1. A sum of money double itself in 4 years at compound interest. It will amount to 8 times itself at the same rate of interest in :

(a) 18 years

(b) 12 years

(c) 16 years

(d) 24 years

(a) 18 years

(b) 12 years

(c) 16 years

(d) 24 years

**Answer: (b) 12 years**2. A some of money invested at compound interest amounts to RS. 650 at the end of first year and Rs. 676 at the end of second year. The sum of the money is :

(a) Rs. 600

(b) Rs. 540

(c) Rs. 625

(d) Rs. 560

3. A sum of Rs. 1550 was lent partly at 5% and partly at 8% simple interest. The total interest received after 3 years is Rs. 300. The ratio of money lent at 5% to that at 8% is :

(a) 5 : 8

(b) 8 : 5

(c) 31 : 6

(d) 16 : 15

4. In what time will the simple interest be 2/5 of the principal at 8% per annum?

(a) 8 years

(b) 7 years

(c) 5 years

(d) 6 years

5. The perimeter of two squares are 24 cm and 32 cm . The perimeter (in cm) of a third square equal in area to the sum of the areas of these square is :

(a) 45

(b) 40

(c) 32

(d) 48

6. The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is :

(a) 9 cm

(b) 18 cm

(c) 8 cm

(d) 12.5 cm

7. The diagonals of a rhombus are 32 cm and 24 cm respectively. The perimeters of the rhombus is :

(a) 80 cm

(b) 72 cm

(c) 68 cm

(d) 64 cm

8. Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 56, then difference of first and third number is :

(a) 12

(b) 20

(c) 24

(d) 48

9. The average age of 8 persons is increased by 2 years, when one of them, whose age is 24 years is replaced by a new person. The age of the new person is :

(a) 42 years

(b) 40 years

(c) 38 years

(d) 45 years

10. If the volumes of two cubes are in the ratio 27 : 64, then the ratio of their total surface areas is :

(a) 27 : 64

(b) 3 : 4

(c) 9 : 16

(d) 3 : 8

11. The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is :

(a) 27 : 20

(b) 20 : 27

(c) 9 : 4

(d) 4 : 9

12. Two numbers are in the ratio 5 : 7. On diminishing each of them by 40, they become in the ratio 17 : 27. The difference of the number is :

(a) 18

(b) 52

(c) 137

(d) 50

13. The ratio of the numbers of boys and girls of a school with 504 students is 13 : 11. What will be the new ratio if 12 more girls are admitted?

(a) 91 : 81

(b) 81 : 91

(c) 9: 10

(d) 10 : 9

14. The sum of the squares of two positive numbers is 100 and difference of their squares is 28. Find the sum of the numbers :

(a) 12

(b) 13

(c) 14

(d) 15

15. The L.C.M. of two numbers is 1820 and their H.C.F. is 26. If one number is 130 then other number is :

(a) 70

(b) 1690

(c) 364

(d) 1264

16. Two numbers are respectively 20% and 50% of a third number. What per cent is the first number of the second?

(a) 10%

(b) 20%

(c) 30%

(d) 40%

17. Out of the total income, Neelam spends 20% on house rent and 70% of the rest on household expenditure. If she saves Rs. 3600, what is her total income?

(a) Rs. 15000

(b) Rs. 10500

(c) Rs. 10050

(d) Rs. 10000

18. Salary of a person is first increased by 20%, then it is decreased by 20%. Change in his salary is :

(a) 4% decreased

(b) 4% increased

(c) 8% decreased

(d) 20% increased

19. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had :

(a) 588 apples

(b) 600 apples

(c) 672 apples

(d) 700 apples

20. The average age of 30 boys in a class is 15 years. One boy, aged 20 years, left the class, but two new boys came in his place whose ages differ by 5 years. If the average age of all the boys now in the class became 15 years, the age of the younger newcomer is :

(a) 20 years

(b) 15 years

(c) 10 years

(d) 8 years

(a) Rs. 600

(b) Rs. 540

(c) Rs. 625

(d) Rs. 560

**Answer: (c) Rs. 625**3. A sum of Rs. 1550 was lent partly at 5% and partly at 8% simple interest. The total interest received after 3 years is Rs. 300. The ratio of money lent at 5% to that at 8% is :

(a) 5 : 8

(b) 8 : 5

(c) 31 : 6

(d) 16 : 15

**Answer: (d) 16 : 15**4. In what time will the simple interest be 2/5 of the principal at 8% per annum?

(a) 8 years

(b) 7 years

(c) 5 years

(d) 6 years

**Answer: (c) 5 years**5. The perimeter of two squares are 24 cm and 32 cm . The perimeter (in cm) of a third square equal in area to the sum of the areas of these square is :

(a) 45

(b) 40

(c) 32

(d) 48

**Answer: (b) 40**6. The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is :

(a) 9 cm

(b) 18 cm

(c) 8 cm

(d) 12.5 cm

**Answer: (b) 18 cm**7. The diagonals of a rhombus are 32 cm and 24 cm respectively. The perimeters of the rhombus is :

(a) 80 cm

(b) 72 cm

(c) 68 cm

(d) 64 cm

**Answer: (a) 80 cm**8. Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 56, then difference of first and third number is :

(a) 12

(b) 20

(c) 24

(d) 48

**Answer: (d) 48**

9. The average age of 8 persons is increased by 2 years, when one of them, whose age is 24 years is replaced by a new person. The age of the new person is :

(a) 42 years

(b) 40 years

(c) 38 years

(d) 45 years

**Answer:(b) 40 years**10. If the volumes of two cubes are in the ratio 27 : 64, then the ratio of their total surface areas is :

(a) 27 : 64

(b) 3 : 4

(c) 9 : 16

(d) 3 : 8

**Answer:****(c) 9 : 16**11. The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is :

(a) 27 : 20

(b) 20 : 27

(c) 9 : 4

(d) 4 : 9

**Answer: (b) 20 : 27**12. Two numbers are in the ratio 5 : 7. On diminishing each of them by 40, they become in the ratio 17 : 27. The difference of the number is :

(a) 18

(b) 52

(c) 137

(d) 50

**Answer: (d) 50**13. The ratio of the numbers of boys and girls of a school with 504 students is 13 : 11. What will be the new ratio if 12 more girls are admitted?

(a) 91 : 81

(b) 81 : 91

(c) 9: 10

(d) 10 : 9

**Answer: (a) 91 : 81**14. The sum of the squares of two positive numbers is 100 and difference of their squares is 28. Find the sum of the numbers :

(a) 12

(b) 13

(c) 14

(d) 15

**Answer: (c) 14**15. The L.C.M. of two numbers is 1820 and their H.C.F. is 26. If one number is 130 then other number is :

(a) 70

(b) 1690

(c) 364

(d) 1264

**Answer: (c) 364**16. Two numbers are respectively 20% and 50% of a third number. What per cent is the first number of the second?

(a) 10%

(b) 20%

(c) 30%

(d) 40%

**Answer: (d) 40%**17. Out of the total income, Neelam spends 20% on house rent and 70% of the rest on household expenditure. If she saves Rs. 3600, what is her total income?

(a) Rs. 15000

(b) Rs. 10500

(c) Rs. 10050

(d) Rs. 10000

**Answer: (a) Rs. 15000**18. Salary of a person is first increased by 20%, then it is decreased by 20%. Change in his salary is :

(a) 4% decreased

(b) 4% increased

(c) 8% decreased

(d) 20% increased

**Answer: (a) 4% decreased**19. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had :

(a) 588 apples

(b) 600 apples

(c) 672 apples

(d) 700 apples

**Answer: (d) 700 apples**20. The average age of 30 boys in a class is 15 years. One boy, aged 20 years, left the class, but two new boys came in his place whose ages differ by 5 years. If the average age of all the boys now in the class became 15 years, the age of the younger newcomer is :

(a) 20 years

(b) 15 years

(c) 10 years

(d) 8 years

**Answer: (b) 15 years**