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 general knowledge math & puzzles

Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps

  1. 5 : 1

  2. 10 :5

  3. 15 :2

  4. 25 :2
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

US:Indian = 5:2 and Indian:British = 5:1. To compare US to British, normalize the Indian count to 10 (LCM of 2 and 5). US:Indian = 25:10 and Indian:British = 10:2. Therefore, the ratio of US to British stamps is 25:2.

Multiple choice general knowledge

The L.C.M of two numbers is 480 and ratio of the two number is 5:6. What are the two numbers?

  1. 25,30

  2. 30,36

  3. 50,60

  4. 80,96

  5. 100,120

  6. 125,150
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

This is a corrected duplicate of the previous question. If two numbers are in ratio 5:6 and their LCM is 480, let the numbers be 5x and 6x. Since 5 and 6 are co-prime, LCM(5x,6x) = 30x = 480, so x = 16. The numbers are 5×16=80 and 6×16=96, making option D correct.

Multiple choice general knowledge math & puzzles

In a wild life sanctuary,elephants are more than tigers but less than wolves in number.The wolves are equal in number to the foxes. If the foxes are 1/3 the number of deers and rabbits are highest in number, then what is the ratio of wolves to deers?

  1. 1/2

  2. 2/3

  3. 1/3

  4. 1/4
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Working backwards: foxes = 1/3 deer, and wolves = foxes, so wolves:deer = 1:3. The other animals (elephants, tigers, rabbits) are extra information not needed for this ratio.

Multiple choice general knowledge math & puzzles

Two numbers are such that their difference, their sum and their product are in ratio of 1:7:24. The product of the number is _______ ?

  1. 12

  2. 24

  3. 36

  4. 48
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the numbers be $x$ and $y$. $(y-x):(y+x):xy = 1:7:24$. From $(y-x)/(y+x) = 1/7$, we get $7y-7x = y+x$, so $6y=8x$ or $y=4x/3$. Substituting into $(y+x)/xy = 7/24$ gives $(7x/3) / (4x^2/3) = 7/24$, which simplifies to $1/4x = 1/24$, so $x=6$. Then $y=8$. Product $xy = 48$.

Multiple choice general knowledge math & puzzles

A,B and C are playing cricket. A's runs are to B's runs and B's runs are to C's runs as 3:2. They get 342 runs in total. How many runs did A score?

  1. 162

  2. 108

  3. 72

  4. none of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given A:B = 3:2 and B:C = 3:2. Let B = 6x (LCM of 2 and 3). Then A = 9x (since A/B = 3/2) and C = 4x (since B/C = 3/2 → C = 2B/3 = 4x). Total runs = 9x + 6x + 4x = 19x = 342. So x = 18. Therefore A's runs = 9x = 9 × 18 = 162. Check: B = 108, C = 72, total = 162+108+72 = 342 ✓.

Multiple choice general knowledge science & technology

What is golden ratio?

  1. a/b = b/a

  2. a/(a+b) = (a-b)/b

  3. (a*b)/b=b/(a*b)

  4. (a+b)/a = a/b
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The golden ratio (phi, approximately 1.618) is defined by the relationship (a+b)/a = a/b where a is the larger segment and a+b is the total length. This means the ratio of the sum to the larger part equals the ratio of the larger to the smaller part. Option D correctly expresses this mathematical relationship.

Multiple choice general knowledge math & puzzles

A ship is twice as old as the ship's boiler was when the ship was as old as the boiler is. What is the ratio of the boiler's age to the ship's age?

  1. 2/3

  2. 1/2

  3. 1/3

  4. 3/4
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let current boiler age = b, current ship age = s. When ship was boiler's current age (b), ship's age was b, so that was (s-b) years ago. Then boiler's age was b-(s-b) = 2b-s. Ship is now twice that: s = 2(2b-s) = 4b-2s, so 3s = 4b, giving b/s = 3/4.