Ratio and Proportion (Objective Type Question for Competitive Exam) (Part B)
Q.31 x and y are in the same proportion as (10 – x) and (15 – y), if x = 12, then y is equal to……
(A) 18
(B) 12.2
(C) 8
(D) 2.5
Ans . A
Q.32 At a certain party, first the ratio of boys to girls was 5 : 3. If after 10 boys left, the ratio becomes 1 : 1. How may people were originally at the party?
(A) 48
(B) 32
(C) 64
(D) 40
Ans . D
Q.33 A cylinder, a hemisphere and a cone are on the same base and have the same height, the area of the curved surface are in the ratio of …….
(A) 1 : 1 : 2
(B) Root 2 : Root 2 : 2
(C) Root 2 : Root 2 : 1
(D) 1 : 1 : Root 2
Ans . C
Q.34 Square A is formed with the diagonal of square B as its sides and square. B has the diagonal of square C as its side? Find the ratio of the area of square C to square A?
(A) 1 : 4
(B) 1 : 2
(C) 1 : Ö2
(D) 1 : 2Ö2
Ans . A
Q.35 Two regular polygons have the number of their sides in the ratio 2 : 1 and their interior angle in the ratio 5 : 4. The number of sides of the two polygons are……
(A) 10, 5
(B) 8, 4
(C) 12, 6
(D) 6, 3
Ans . C
Q.36 The ratio of the prices of the two prices of two houses A and B was 4 : 5 last year. This year, the price of A increased by 25% and that of B by Rs. 50,000. If their prices now are in the ratio 9 : 10, the price of A last year was…..
(A) Rs. 3,60,000
(B) Rs. 4,50,000
(C) Rs. 4,80,000
(D) Rs. 5,00,000
Ans . A
Q.37 The wages of labourers in a factory increased in the ratio 22 : 25 and there was a reduction in the number of laboures in the ratio 15 : 11. Find the original wage bill if the present bill is Rs. 5000?
(A) Rs. 6000
(B) Rs. 3000
(C) Rs. 4800
(D) Rs. 4500
Ans . B
Q. 38 Two casks of liquid contain liquid of mixture of liquids A and B. In the first flask A:B::7:3 and in the second cask A:B::3:1. In what ratio must the mixtures from the two casks be taken to give a mixture in which A:B::11:4?
(A) 1 : 2
(B) 1 : 3
(C) 2 : 3
(D) 2 : 1
Ans . A
Q. 39 If a : b : c :: 2 : 4 : 3, find the ratio of the square of the average to the average of their square.
(A) 23 : 25
(B) 8 : 3
(C) 25 : 27
(D) 27 : 29
Ans . A
Q.40 Five years back two friends age was in the ratio 5 : 1 and 30 years hence the ratio would be 10 : 9. Find the age of the younger friend five years hence.
(A) 11 years
(B) 12 years
(C) 14 years
(D) 15 years
Ans . D
Q.21 If A : B = 5 : 7 and B : C = 9 : 11, then A : C?
(A) 9 : 11
(B) 45 : 77
(C) 45 : 66
(D) 39 : 77
Ans . B
Q.22 The mean proportion between 9 and 25 is……
(A) 10
(B) 12
(C) 15
(D) 17
Ans . C
Q.23 The third proportion to 12 and 30 is…..
(A) 40
(B) 45
(C) 50
(D) 75
Ans . D
Q.24 The ratio of milk and water in 66 kg of adulterated milk is 5 : 1. Water is added to it to make the ratio 5 : 3. The quantitiy of water added is……
(A) 12
(B) 32
(C) 32
(D) 52
Ans . D
Q.25 Ratio of speed of three cars is 2 : 3 : 4. The ratio of time taken by these cars to travel the same distance is……
(A) 2 : 3 : 4
(B) 3 : 6 : 4
(C) 6 : 4 : 3
(D) 4 : 3 : 6
Ans . C
Q.26 A cup contains milk and water in the ratio of 3 : 1. How much mixture should be taken out and water added to make the ratio 1 : 1?
(A) 1/3
(B) 1/4
(C) ½
(D) 1/5
Ans . A
Q.27 A can contains a mixture of two liquid A and B in proportion 7 : 5 . When 9 liters of mixture was drawn off and the can was filled with B, the proportion of A and B becomes 1 : 2. How many liters of mixtures was contained by the can initially?
(A) 15
(B) 21
(C) 36
(D) 25
Ans . B
Q.28 Five apples plus four pears costs as much as three apples plus seven pears. What is the ratio of the cost of 1 pear and cost of 1 apple?
(A) 2 : 3
(B) 3 : 4
(C) 3 : 1
(D) 4 : 3
Ans . A
Q.29 The ratio of the perimeter of an equilateral triangle having and altitude equal to the radius of a circle, to the perimeter of an equilateral triangle inscribed in a circle is…….
(A) 1 : 2
(B) 1 : 3
(C) 1 : Ö3
(D) Ö3 : 2
Ans . B
Q.30 The areas of two triangles of equal height are in the ratio of 7 : 12. If the base of the smaller trangle is 40 cm, then the base of the other is……
(A) 23.33
(B) 21 cm
(C) 68.75 cm
(D) 32.33 cm
Ans . C
Q.31 x and y are in the same proportion as (10 – x) and (15 – y), if x = 12, then y is equal to……
(A) 18
(B) 12.2
(C) 8
(D) 2.5
Ans . A
Q.32 At a certain party, first the ratio of boys to girls was 5 : 3. If after 10 boys left, the ratio becomes 1 : 1. How may people were originally at the party?
(A) 48
(B) 32
(C) 64
(D) 40
Ans . D
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Q.33 A cylinder, a hemisphere and a cone are on the same base and have the same height, the area of the curved surface are in the ratio of …….
(A) 1 : 1 : Ö2
(B) srqt2 : srqt2 : 2
(C) Ö2 : Ö2 : 1
(D) 1 : 1 : Ö2
Ans . C
Q.34 Square A is formed with the diagonal of square B as its sides and square. B has the diagonal of square C as its side? Find the ratio of the area of square C to square A?
(A) 1 : 4
(B) 1 : 2
(C) 1 : Ö2
(D) 1 : 2Ö2
Ans . A
Q.35 Two regular polygons have the number of their sides in the ratio 2 : 1 and their interior angle in the ratio 5 : 4. The number of sides of the two polygons are……
(A) 10, 5
(B) 8, 4
(C) 12, 6
(D) 6, 3
Ans . C
Q.36 The ratio of the prices of the two prices of two houses A and B was 4 : 5 last year. This year, the price of A increased by 25% and that of B by Rs. 50,000. If their prices now are in the ratio 9 : 10, the price of A last year was…..
(A) Rs. 3,60,000
(B) Rs. 4,50,000
(C) Rs. 4,80,000
(D) Rs. 5,00,000
Ans . A
Q.37 The wages of labourers in a factory increased in the ratio 22 : 25 and there was a reduction in the number of laboures in the ratio 15 : 11. Find the original wage bill if the present bill is Rs. 5000?
(A) Rs. 6000
(B) Rs. 3000
(C) Rs. 4800
(D) Rs. 4500
Ans . B
Q. 38 Two casks of liquid contain liquid of mixture of liquids A and B. In the first flask A:B::7:3 and in the second cask A:B::3:1. In what ratio must the mixtures from the two casks be taken to give a mixture in which A:B::11:4?
(A) 1 : 2
(B) 1 : 3
(C) 2 : 3
(D) 2 : 1
Ans . A
Q. 39 If a : b : c :: 2 : 4 : 3, find the ratio of the square of the average to the average of their square.
(A) 23 : 25
(B) 8 : 3
(C) 25 : 27
(D) 27 : 29
Ans . A
Q.40 Five years back two friends age was in the ratio 5 : 1 and 30 years hence the ratio would be 10 : 9. Find the age of the younger friend five years hence.
(A) 11 years
(B) 12 years
(C) 14 years
(D) 15 years
Ans . D
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Rajesh Bhatia
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