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Ratio and Proportion MCQ for Competitive Exams

Ratio and Proportion MCQs – Important MCQ Questions with Answers and Solutions in English

Looking to boost your Quantitative Aptitude score in exams like SSC CGL, CHSL, CPO, GD, and UPSSSC? Mastering the topic of Ratio and Proportion is essential for success in these competitive exams.

📝 Practice the Quiz Below:

1. 
Two numbers are in the ratio of 4 : 9. If the mean proportional between them is 24, find the positive difference between the two numbers.

2. 
What is the third proportional to 16 and 48?

3. 
If 7A = 6B = 12C, What is A : B : C ?

4. 
The ratio between two numbers is 19 : 24. If each number is reduced by 36, the ratio becomes 3 : 4. Find the sum of the numbers.

5. 
Find the third proportional of (\(3 +\sqrt{2})\) and \(2\sqrt{7}\)

6. 
The mean proportional between 2.8 and 0.7 is:

7. 
Divide ₹4,800 among Ram, Shyam and Kartik in the ratio of 4 : 8 : 3. Find the amount received by Shyam.

8. 
If F1 and F2 are the fourth proportional to\(\frac{2}{7},\frac{7}{12}\), 8 and \(\frac{5}{6},\frac{4}{3},10\), respectively, then what is F1 : F2?

9. 
The ratio of the walking speeds of A and B is 3 : 5. If B takes 18 minutes to cover a certain distance, how much time will A take to cover the same distance?

10. 
The third proportional to x and x + 100 is 405, find the value of x ( where x >100).

11. 
If the third proportional of \(3x^2\) and 4xy is 48, then the positive value of y is :

12. 
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5. If the mixture is worth ₹96/kg, the price (in ₹ of the third variety of rice per kg will be:

13. 
In a college, 20% of the number of boys are equal to the three-fourth of the number of girls. What is the ratio of boys and girls in that college ?

14. 
The ratio of the present age of A and B is 3 : 1. Five years ago, the ratio of their ages was 5 : 1. The age of A (in years) after eight years will be:

15. 
The ratio of the present ages of Ram and Shyam is 3 : 4, and 4 years ago the ratio was 2 : 3. What will be the ratio of the ages of Ram and Shyam 4 years from now?

16. 
If tea that costs ₹7.50 per kg is mixed with tea that costs ₹10.50 per kg in the proportion of 2 : 1 then, what is the cost (in ₹) of the resultant mixture per kg?

17. 
A grocer mixes two varieties of tea worth ₹120/kg and ₹125/kg in a ratio to produce a new variety worth ₹122/kg. What is the ratio of the varieties to be mixed to obtain the new variety?

18. 
In a park there are rabbits and pigeons in the ratio 4 : 9. If legs are counted, the total number of legs is 340. Find the number of rabbits.

In this post, we’ve compiled the most important Ratio and Proportion MCQs, taken directly from previous year exam papers. Each question includes the correct answer, detailed explanation, and short tricks where applicable – helping you understand and solve faster.

📘 What You’ll Learn:

  • Key concepts of Ratio and Proportion
  • Application-based questions from real exams
  • Time-saving tricks to improve speed and accuracy
  • Questions suitable for SSC and state-level exams

⚡ Why Practice Ratio and Proportion?

This topic helps evaluate your ability to compare quantities and solve real-life problems. Whether it’s mixing ingredients, dividing amounts, or solving partnership questions, a strong grasp of Ratio and Proportion gives you an edge in the exam.

💡 Quick Tips:

  • Always simplify ratios before solving.
  • Use cross multiplication for proportion-based problems.
  • Memorize common ratio pairs and fraction equivalents.

✅ Tip for Success: Practice daily and focus on understanding the logic behind each solution. That way, you can apply the concepts even if the questions are twisted in exams.

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