# Ratio and Proportion

Q41. The surface areas of two spheres are in the ratio 1 : 9. The ratio of their volumes is
(a) 1 : 27
(b) 2 : 28
(c) 3 : 29
(d) 4 : 36

Q42. What must be substrated from each one of 21, 38, 55, 106 so that the remainders are proportional
(a) 4
(b) 6
(c) 9
(d) 12

Q43. If a:b = 1:2, b:c = 3:4, c:d = 4:5 then a:b:c:d = ?
(a) 2:4:8:12
(b) 3:6:9:12
(c) 3:4:8:12
(d) 3:6:8:10

Q44. In a ratio which is equal to 3:10, if the antecedent is 60, then the consequent is
(a) 156
(b) 170
(c) 185
(d) 200

Q45. What should be added to each of the four numbers 5, 13, 17, 35 to make them proportional ?
(a) 17/5
(b) 23/5
(c) 24/5
(d) 29/5

Q46. What should be substracted to each of the four numbers 7, 10, 30, 50 to make them proportional ?
(a) 45/23
(b) 50/17
(c) 55/21
(d) 57/23

Q47. The ratio of boys and girls in a school is 4:5. When 2 more boys join, their ratio becomes 6:7. How many girls in the school ?
(a) 29
(b) 31
(c) 35
(d) 42

Q48. Find the mean proportional between 25 and 100
(a) 45
(b) 50
(c) 60
(d) 75

Q49. A boy contains one rupee, 50p and 25p coins in the ratio 8:9:11. If the total money in the bag is Rs. 244, find the number of coins of each type.
(a) 128, 144, 176
(b) 132, 153, 186
(c) 135, 156, 192
(d) 152, 163, 198

Q50. 43.5:25 = ?
(a) 3
(b) 4
(c) 5
(d) 7