Understanding Ratio & Proportion is crucial for students preparing for exams in India. This topic not only forms a significant part of the curriculum but also appears frequently in various competitive exams. Practicing MCQs and objective questions on Ratio & Proportion enhances your problem-solving skills and boosts your confidence, ensuring you score better in your assessments.
What You Will Practise Here
Fundamentals of Ratio and Proportion
Types of Ratios: Simple, Compound, and Inverse Ratios
Proportional Relationships and their Applications
Solving Problems Involving Direct and Inverse Proportions
Key Formulas and Definitions Related to Ratios
Word Problems and Real-Life Applications of Ratios
Diagrams and Visual Representations of Ratios
Exam Relevance
Ratio & Proportion is a vital topic in the CBSE syllabus and is also included in various State Boards. Students can expect questions based on this concept in competitive exams like NEET and JEE. Typically, questions may involve solving for unknowns, applying ratios in real-life scenarios, or interpreting data presented in different forms. Familiarity with common question patterns will help you tackle these problems efficiently.
Common Mistakes Students Make
Confusing ratios with fractions and not understanding their differences.
Overlooking the importance of units when solving proportion problems.
Misinterpreting word problems, leading to incorrect setups of equations.
Neglecting to simplify ratios before solving, which can lead to complex calculations.
FAQs
Question: What are the basic properties of ratios? Answer: Ratios compare two quantities and can be simplified like fractions. They maintain the same value when both terms are multiplied or divided by the same non-zero number.
Question: How can I improve my skills in Ratio & Proportion? Answer: Regular practice of Ratio & Proportion MCQ questions and understanding the underlying concepts will significantly enhance your skills and confidence.
Don't wait any longer! Dive into our practice MCQs on Ratio & Proportion to test your understanding and excel in your exams. Every question you solve brings you one step closer to mastering this essential topic!
Q. In a class, the ratio of students who prefer Math to those who prefer Science is 3:2. If there are 30 students who prefer Science, how many prefer Math?
A.
45
B.
60
C.
30
D.
40
Solution
Let Math = 3x and Science = 2x. Given 2x = 30, x = 15. Therefore, Math = 3x = 3*15 = 45.
Q. The ratio of the speeds of two cars is 3:4. If the faster car travels 120 km in 2 hours, how far does the slower car travel in the same time?
A.
80
B.
90
C.
100
D.
70
Solution
Let the speeds be 3x and 4x. Given 4x = 60 km/h, x = 15. Therefore, slower car's speed = 3x = 3*15 = 45 km/h. Distance = speed * time = 45 * 2 = 90 km.
Q. The ratio of the speeds of two cars is 3:4. If the first car travels 120 km in 2 hours, how far does the second car travel in the same time?
A.
160
B.
180
C.
200
D.
150
Solution
Speed of first car = 120 km / 2 hours = 60 km/h. Let speed of second car = 4x. 3x = 60, x = 20. Therefore, speed of second car = 4*20 = 80 km/h. Distance = speed * time = 80 * 2 = 160 km.
Q. The ratio of the speeds of two cars is 3:4. If the first car travels 120 km, how far does the second car travel?
A.
160
B.
150
C.
180
D.
140
Solution
Let the speed of the first car be 3x and the second car be 4x. The distance traveled is proportional to speed. Therefore, if 3x = 120, then 4x = (4/3)*120 = 160.
