Mathematics · Quantitative Aptitude

Ratios and Proportions

309 Questions

Ratios and proportions deal with comparing two or more quantities and finding their relationships. The questions involve calculating compound ratios, duplicate ratios, and solving proportional equations. This topic is a crucial part of the mathematics and quantitative aptitude sections in competitive exams.

compound ratiosduplicate ratiosproportion equationssimple ratio calculationscombining multiple ratios

Ratios and Proportions Questions

Multiple choice

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

  1. 58

  2. 48

  3. 30

  4. 20

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First of all, we shall have to find the ratio among all 3 numbers. Now, we have the ratio between the 1st and 2nd number = 2 : 3 and the ratio between the 2nd and 3rd = 5 : 8 Therefore, the ratio among 3 numbers = 10 : 15 : 24 Now, the sum of ratio = 10 + 15 + 24 = 49 Therefore, the second number = 98 * (15/49) = 30 So, it is the correct answer.

Multiple choice

Anaya wants to cut a small rectangular piece of paper out of a big rectangular chart paper such that the length and breadth of piece of paper are exactly 1/3rd of that of chart paper. What is the ratio of areas of big chart paper to that of small piece of paper?

  1. 1 : 9

  2. 3 : 1

  3. 9 : 1

  4. 1 : 3

  5. 19 : 1
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Length of big chart paper = L Breadth of big chart paper = B Area of big chart paper = L x B = LB sq. c m Length of small piece of paper = L/3 Breadth of of small piece of paper = B/3 Area of small piece of paper = L/3 x B/3 = LB/9 sq. cm Ratio = Area of big chart paper / Area of small piece of paper = LB/(LB/9) = 9 : 1

Multiple choice

The ratio between the length and width of our National Flag is

  1. 1 : 2

  2. 2 : 3

  3. 1 : 4

  4. 2 : 5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The Indian National Flag follows a 2:3 ratio where the length is 1.5 times the width. This proportion is standardized according to the official specifications set by the Bureau of Indian Standards. The flag design must maintain these exact dimensions.

Multiple choice

Two numbers are in the ratio 4 : 5 and the sum of the numbers is 90. Then the absolute value of the difference of the two number is

  1. 20

  2. -10

  3. -20

  4. 10

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the two numbers be 4x and 5x, respectively. Also, 4x + 5x = 90 Or, 9x = 90 Or, x = 10 Therefore, the required numbers are 4x = 4 X 10 = 40 & 5x = 5 X 10 = 50 Therefore, the difference of the two numbers = 50 - 40 = 10 or 40 - 50 = -10 But, we have been asked to provide an absolute value which is |10| = |-10| = 10 Hence, this option is correct.