Chapter 5 Linear Equations in Two Variables Practice Set 5.2

Question 1.In an envelope there are some ₹5 notes and some ₹10 notes. Total amount of these notes together is ₹350. Number of ₹5 notes are less by 10 than twice the number of ₹10 notes. Then find the number of ₹5 and ₹10 notes.Solution:Let the number of ₹5 notes be ‘x’ and the number … Read more

Chapter 4 Ratio and Proportion Practice Set 4

Question 1.Select the appropriate alternative answer for the following questions. i . If 6 : 5 = y : 20, then what will be the value of y?(A) 15(B) 24(C) 18(D) 22.5Answer:(B) 24 ii. What is the ratio of 1 mm to 1 cm ?(A) 1 : 100(B) 10: 1(C) 1 : 10(D) 100: 1Answer:(C) … Read more

Chapter 4 Ratio and Proportion Practice Set 4.5

Question 1.Which number should be subtracted from 12, 16 and 21 so that resultant numbers are in continued proportion?Solution:Let the number to be subtracted be x.∴ (12 – x), (16 – x) and (21 – x) are in continued proportion. ∴ 84 – 4x = 80 – 5x∴ 5x – 4x = 80 – 84∴ … Read more

Chapter 4 Ratio and Proportion Practice Set 4.4

Question 1.Fill in the blanks of the following. Solution: Question 2.5m – n = 3m + 4n, then find the values of the following expressions. Solution:5m – n = 3m + 4n … [Given]∴ 5m – 3m = 4n + n∴ 2m = 5n Question 3.Solve: Solution:Here, no two of a, b and c are … Read more

Chapter 4 Ratio and Proportion Practice Set 4.3

Question 1. Solution: Question 2.Solution: Question 3. Solution: Question 4.Solve the following equations. Solution:This equation is true for x = 0∴ x = 0 is one of the solutions.If x ≠ 0, then x2 ≠ 0∴ 8x + 12 = 12x – 20∴ 12 + 20 = 12x – 8x∴ 32 = 4x∴ x = 8∴ … Read more

Chapter 4 Ratio and Proportion Practice Set 4.2

Question 1. Solution: Question 2.Find the following ratios.i. The ratio of radius to circumference of the circle.ii. The ratio of circumference of circle with radius r to its area.iii. The ratio of diagonal of a square to its side, if the length of side is 7 cm.iv. The lengths of sides of a rectangle are … Read more

Chapter 4 Ratio and Proportion Practice Set 4.1

Question 1.From the following pairs of numbers, find the reduced form of ratio of first number to second number.i. 72,60ii. 38,57iii. 52,78Solution:i. 72, 60 Question 2.Find the reduced form of the ratio of the first quantity to second quantity.i. ₹ 700, ₹ 308ii. ₹ 14, ₹ 12 and 40 paiseiii. 5 litres, 2500 mliv. 3 … Read more

Chapter 3 Polynomials Practice Set 3

Question 1.Write the correct alternative answer for each of the following questions. i. Which of the following is a polynomial? Answer: ii. What is the degree of the polynomial √7 ?(A) 1/2(B) 5(C) 2(D) 0Answer:(D) 0 iii. What is the degree of the polynomial ?(A) 0(B) 1(C) undefined(D) any real numberAnswer:(C) undefined iv. What is … Read more