Welcome to the CDS 1 2024 Maths Lecture focusing on Ratio and Proportion Multiple Choice Questions (MCQs). In this session, we’ll delve into various MCQs related to the topic of ratio and proportion. By solving these MCQs, we’ll reinforce our understanding of fundamental concepts, formulas, and problem-solving techniques in ratio and proportion.

Understanding Ratio and Proportion

Ratio and proportion are fundamental concepts in mathematics that describe the relationship between quantities or values. A ratio compares two quantities by division, while a proportion states that two ratios are equal.

Ratio and Proportion Important MCQs

Q) The monthly incomes of A and B are in the ratio 4 : 3. Each of them saves ₹ 600. If the ratio of their expenditure is 3 : 2, then what is the monthly income of A?

A.₹ 2400

B.₹ 1800

C.₹ 2000

D.₹ 3600

Ans : A

Q) A person P started a business with a capital of ₹ 2525 and another person Q joined P after some months with a capital of ₹ 1200. Out of the total annual profit of ₹ 1644, P’s share was ₹ 1212. When did Q join as partners ?

A.After 2 months

B.After 3 months

C.After 4 months

D. After 5 months

Ans : B

Q) If (a – b) : (a + b) = 1 : 5, then what is (a² – b²) : (a² + b²) equal to ?

A. 2 : 3

B. 3 : 2

C. 5 : 13

D. 13 : 15

Ans : C

Q) If a : b = 3 : 5 and b : c = 7 : 8, then 2a : 3b : 7c is equal to

A.42 : 105 : 320

B. 15 : 21 : 35

C. 6 : 15 : 40

D. 30 : 21 : 350

Ans : C

Q) The cost of a diamond varies directly as the square of its weight. A diamond broke into four pieces with their weights in the ratio of 1 : 2 : 3 : 4. If the loss in total value of the diamond was ₹ 70,000, what was the price of the original diamond ?

A. ₹ 1,00,000

B.₹ 1,40,000

C.₹ 1,50,000

D.₹ 1,75,000

Ans : A

For an explanation of the above questions and other related MCQs, please refer to the YouTube video above.