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