Top 10 Ratio & Proportion Questions | For All Exam | Best Solutions | 99% Students Fail | Ritesh Jha

Top 10 Ratio & Proportion Questions | For All Exam | Best Solutions | 99% Students Fail | Ritesh Jha

1. Basic Ratio Simplification:
Example: Simplify the ratio 56:98.
Skill Tested: Ability to simplify fractions and ratios.

2. Finding Missing Term in a Proportion:
Example: If 6:9 :: 8
, find the value of x.
Skill Tested: Understanding of proportional relationships and cross-multiplication.

3. Sharing Amounts in a Given Ratio:
Example: Divide ₹500 among three people in the ratio 2:3:5.
Skill Tested: Ability to apply ratio in real-life scenarios like money distribution.

4. Comparison of Two Ratios:
Example: Which ratio is greater, 3:4 or 7:9?
Skill Tested: Comparison and simplification of ratios.

5. Combined Ratio Calculation:
Example: If A
= 3:4 and B
= 5:6, find A
.
Skill Tested: Understanding of compound ratios.

6. Mixture or Allegation Problem:
Example: A mixture contains milk and water in the ratio 5:3. If 4 liters of water is added to 24 liters of mixture, find the new ratio of milk to water.
Skill Tested: Ability to handle ratios in complex mixing problems.

7. Time, Speed, and Distance Based on Ratio:
Example: Two cars travel in the ratio of speeds 4:5. If the slower car covers 200 km in 4 hours, how much distance will the faster car cover in the same time?
Skill Tested: Application of ratios in motion-related problems.

8. Age Problems Using Ratios:
Example: The ratio of the ages of two brothers is 3:5. In 6 years, the ratio becomes 4:5. Find their present ages.
Skill Tested: Applying ratios to age problems with future or past conditions.

9. Proportional Relationships in Geometry:
Example: The ratio of the areas of two squares is 9:16. Find the ratio of their sides.
Skill Tested: Application of proportions in geometric figures.

10. Increase/Decrease in Proportion:
Example: The salaries of A and B are in the ratio 3:4. If A’s salary is increased by 50% and B’s salary is increased by 25%, what will be the new ratio of their salaries?

Skill Tested: Handling proportional changes in quantities after percentage increases or decreases.
These questions are designed to test your understanding of fundamental mathematical concepts and your ability to apply ratios and proportions in different real-life contexts. Success with these types of problems requires both accuracy and speed, making them crucial in competitive exams.