**Ratio and Proportion Multiple Choice Questions**

**1. I have a box which has 3 green, 9 blue, 4 yellow, 8 orange colored cubes in it**

**(a) What is the ratio of orange to yellow cubes?**

**(b) What is the ratio of green to blue cubes?**

**(c) How many different ratios can be formed, when you compare each color to any one of the other colors?**

(a) (b) (c)

(A) 3:1 1:2 10 ratios

(B) 1:3 2:1 4 ratios

(C) 1:2 3:1 12 ratios

(D) 2:1 1:3 12 ratios

**2. The equivalent ratio of 2:7 is**

(A) 4 : 7

(B) 8 : 21

(C) 6 : 14

(D) 6 : 21

**3. If A:B=1/2 : 3/8; B:C=1/3 : 5/9 and C:D=5/6 : ¾, then the ratio A:B:C:D is**

(A) 4:6:8:10

(B) 8:6:10:9

(C) 6:4:8:10

(D) 6:8:9:10

**4. Two angles are in the ratio 4: 9 and their supplementary angles are in the ratio 8: 3 then the two angles are respectively**

(A) 60, 135

(B) 30, 90

(C) 40, 100

(D) 80, 40

**5. If x:y = 2:3 then find (6x . y):(3x+ 2y)**

(A) 2:3

(B) 3:2

(C) 3:4

(D) 4:3

**6. Three tangent galvanometer have turns ratio of 2 : 3 : 5 when connected in series in a circuit, they show deflection of 30°, 45°, 60° respectively. Find the ratio of their radii**

(A) 1:2:3

(B) 1:3:6

(C) 6:3√3:5

(D) 1:4:9

**7. If A:B:C=2:3:4 then A/B:B/C:C/A is equal to**

(A) 4:9:16

(B) 7:9:12

(C) 7:9:16

(D) 8:9:24

**8. If the area of two spheres are in the ratio 1: 4 then the ratio of their volumes is**

(A) 1:2

(B) 1:3

(C) 1:5

(D) 1:8

**9. 20% of (A+B) = 50%(A. B). Find the ratio of A and B.**

(A) 3:8

(B) 8:3

(C) 3:7

(D) 7:3

**10. In a village, 15% are children, 40% are women. There are 900 people in the village. What is the ratio of Men: Women: Children?**

(A) 9:5:4

(B) 9:8:3

(C) 7:9:4

(D) 8:9:3

**11. If A:B=2:5 and B:C=4:1, then find A:B:C**

(A) 2:9:1

(B) 4:18:3

(C) 4:9:2

(D) 8:20:5

**12. If 0.75:x::5:8. Then x is equal to**

(A) 1.15

(B) 1.20

(C) 1.22

(D) 1.28

**13. A bag contains one rupee, 50. paise and 25 paise coins in the ratio 5:6:7. If the total amount is Rs. 390, find the number of coins of each kind**

(A) 200, 260, 220

(B) 240, 200, 260

(C) 200, 240, 280

(D) 260, 220, 200

**14. Weekly income of two persons are in the ratio of 7:3 and their weekly expenses are in the ratio of 5:2. If each of them saves Rs. 300 per week, then the weekly income of the first person is**

(A) Rs. 4,400

(B) Rs. 5,200

(C) Rs. 6,300

(D) Rs. 7,500

**15. If A : B = 2 : 3, B : C = 4 : 5, C : D = 6 : 7 then find A : B : C : D**

(A) 16 : 22 : 20 : 35

(B) 16 : 24 : 15 : 35

(C) 16 : 24 : 30 : 35

(D) 18 : 24 : 30 : 35

**16. If 30% of (B. A) is equal to 18% of (A+B) then the ratio A:B is equal to**

(A) 1:2

(B) 1:3

(C) 1:4

(D) 3:1

**17. 30% of x is equal to 60% of y the x : y is**

(A) 1:2

(B) 2:1

(C) 1:3

(D) 3:1

**18. 20 litres of a mixture contain milk and water in the ratio 5:3. If 4 litres of this mixture are replaced by 4 litres of milk, the ratio of milk to water in the new mixture will become**

(A) 2:1

(B) 1:2

(C) 7:3

(D) 8:3

**19. If x : y = 3 : 5 then (5x + 3y) : (15x – 2y) is**

(A) 1 : 5

(B) 5 : 1

(C) 6 : 7

(D) 7 : 6

**20. A mixture contains alcohol and water in the ratio 4 : 3. If five litres of water is added to the mixture, the ratio becomes 4 : 5. Find the quantity of alcohol in the given mixture.**

(A) 5 liters

(B) 7.5 liters

(C) 10 liters

(D) 12.5 liters