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21+ Ratio and Proportion Questions | R&P Aptitude Problems With Formulas

Ratio and Proportion Questions

Practice from the given selective Ratio and Proportion Questions that are frequently asked in the competitive exams. These R&P Aptitude Problems can be solved easily by using the formulas. Here, on this page we have given 21+ Ratio and Proportion Questions and Answers for the candidates, so attempt it and check your preparation level.

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Ratio and Proportion Formula:

Ratio Formula:

Assume that, we have two quantities or two numbers or two entities and we have to find the ratio of these two, then the formula for ratio is defined as;

a: b ⇒ a/b

where a and b could be any two quantities.

Proportion Formula:

Now, let us assume that, in proportion, the two ratios are a:b & c:d. The two terms ‘b’ and ‘c’ are called ‘means or mean term,’ whereas the terms ‘a’ and ‘d’ are known as ‘extremes or extreme terms.’

 a/b = c/d or  a : b :: c : d

Ratio and Proportion Questions

Answers for these questions are available at the end.

Question 1) Five bananas and four apples cost as much s three bananas and seven apples. The ratio of the cost of one banana to that of one apple is…….

(A) 3 : 2

(B) 4 : 3

(C) 3 : 4

(D) 1 : 3

Question 2) In a school, 10% of the boys are same in number as ¼ of the girls and 10% of the girls are same in number as 1/25 of the boys. What is the ratio of boys to girls in that school?

(A) 3 : 2

(B) 5 : 2

(C) 2 : 1

(D) 4 : 3

Question 3) If x/5 = x/8, then (x +5) : (x + 8) is equal to……

(A) 3 : 5

(B) 13:8

(C) 8:5

(D) 5:8

Get Here: Important Ratio and Proportion Tricks

Question 4) The ages of x and y are in the ratio of 3 : 1. 15 years hence, the ratio will be 2 : 1. Their present ages (in years) are…..

(A) 30, 10

(B) 45, 15

(C) 21, 7

(D) 60, 20

Question 5) A mixture contains milk and water in the ratio 5 : 1. On adding 5 liters of water, the ratio of milk to water becomes 5 : 2. The quantity of milk in the original mixture is….

(A) 16 lt.

(B) 25 lt.

(C) 22.75 lt.

(D) 32.5 lt.

Question 6) The ratio between the numbers is 3 : 4 and the sum of their squares is 625. The numbers are……

(A) 6, 8

(B) 15, 20

(C) 18, 24

(D) 20, 25

Question 7) 85 liters of a mixture contains milk and water in the ratio 27 : 7. How much water is to be added to get a new mixture containing milk and water in the ratio 3 :1?

(A) 5 lt

(B) 6.5 lt

(C) 7.25 lt

(D) 8 lt

Question 8) The mean proportion between 9 and 25 is……

(A) 10

(B) 12

(C) 15

(D) 17

Solve These Given: Surds and Indices Questions

Question 9) 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

Question 10) 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

Question 11) 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

Question 12) 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

Question 13) 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

Question 14) 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

Also Solve Out: Problem on HCF and LCM

Question 15) 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

Question 16) In an exam, the ratio of passes to failure was 4 : 1. Had 30 less appeared and 20 less passed, the ratio of passes to failure would have been 5 : 1. The number of students who appeared for the exam is…….

(A) 120

(B) 135

(C) 145

(D) 150

Question 17) I have 100 coins with me which I want to divide into two groups such that one fourth of a group would be 20 coins more than 1/6th the number of coins in the second group. The ratio of coins in the two group is…….

(A) 4

(B) 5: 2

(C) 18: 7

(D) 22: 3

Question 18) Find the value of x, when x is a mean proportion between x-2 and x+6.

(A) 3

(B) 6

(C) 2

(D) 4

Question 19) If a carton containing dozen mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors?

(A) 2: 1

(B) 3: 1

(C) 3: 2

(D) 1: 1

Question 20) Ratio of boys to girls in a class is 5: 3. Which of these cannot be the number of students in the class?

(A) 32

(B) 40

(C) 36

(D) 56

Know Here: How to Prepare Maths for Competitive Exams

Question 21) A servant is paid a total of Rs. 100 and a turban for a full year’s service. If the works for only 9 months and received in return Rs. 65 + turban. What is the value of the turban?

(A) Rs. 9

(B) Rs. 10

(C) Rs. 40

(D) Rs. 50

Question 22) A covers a circular track in 15 minutes while B does so in 25 minutes. In how much time will ‘A’ and ‘B’ be together again? (They start running in the same direction from the same point.)

(A) 75 min

(B) 50 min

(C) 45 min

(D) 37.5 min

Question 23) An alloy of tin and copper has 6 pounds of copper for every 4 pounds of tin. If 300 pounds of this alloy is made, how many pounds of tin need to be added in order to make the ratio of tin and copper 1: 17?

(A) 30

(B) 60

(C) 90

(D) 120

Question 24) If a = 2b, ½ b = c, and 4c = 3d, then what is the ratio of d to a?

(A) 1/3

(B) ¾

(C) 1

(D) 4/3

Question 25) The ratio of sum of squares of first n natural numbers to square of sum of first n natural number 17: 325, the value of n is……

(A) 15

(B) 20

(C) 35

(D) None of these

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Question 26) A 150 m long train crosses a man walking at a speed of 6 kmph in the opposite direction in 6 seconds. The speed of the train (in kmph) is…….

(A)66

(B) 84

(C) 96

(D) 106

Question 27) The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

(A) 20

(B) 30

(C) 48

(D) 58

Question 28) The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

(A) 8 : 9

(B) 17 : 18

(C)21 : 22

(D) Cannot be determined

Question 29) A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water is added to the mixture, the ratio becomes 4:5. Find the quantity of alcohol in the given mixture.

(A)   8 Liters

(B)   10 Liters

(C)   18 Liters

(D)   22 Liters

Also Check Out: List Of Important Maths Formulas

Question 30) Three cats are roaming in a zoo n such a way that when cat A takes 5 steps, B takes 6 steps and C takes 7 steps.But the 6 steps of A are equal to the 7 steps of B and 8 steps of C. what is the ratio of their speeds?

(A)   140:144:147

(B)   40:44:47

(C)   15:21:28

(D)   252:245:240

Answers:

Ans1) (A)Ans11) (A)Ans21) (B)
Ans2) (B)Ans12) (C)Ans22) (D)
Ans3) (D)Ans13) (A)Ans23) (B)
Ans4) (B)Ans14) (C)Ans24) (A)
Ans5) (B)Ans15) (A)Ans25) (B)
Ans6) (B)Ans16) (A)Ans26) (B)
Ans7) (A)Ans17) (A)Ans27) (B)
Ans8) (C)Ans18) (A)Ans28) (C)
Ans9) (C)Ans19) (C)Ans29) (B)
Ans10) (B)Ans20) (D)Ans30) (A)

If you know the basic concepts, then these Ratio and Proportion Problems mentioned on this page of recruitmentresult.com will be solved using the formulas. So, have a look on these Ratio and Proportion Questions and after solving it, match your option with the given answers.

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