Sujeet Kumar

Question 1.Observe the table given below. Check and decide, whether the individuals have to pay income tax. Solution:i. Miss Nikita’s age = 27 years < 60 yearsMiss Nikita’s income = ₹ 2,34,000Miss Nikita’s income is below the basicexemption limit of ₹ 2,50,000.∴ Miss Nikita will not have to pay income tax. ii. Mr. Kulkarni’s age … Read more

Question 1.Alka spends 90% of the money that she receives every month, and saves ₹ 120. How much money does she get monthly?Solution:Let Alka’s monthly income be ₹ x.Alka spends 90% of the money that she receives every month.∴ Amount spent by Alka = 90% of x Now, Savings = Income – Expenditure∴ 120 = … Read more

Question 1.Choose the correct alternative answers for the following questions. i. If 3x + 5y = 9 and 5x + 3y = 7, then what is the value of x + y ?(A) 2(B) 16(C) 9(D) 7Answer:(A) 2 ii. ‘When 5 is subtracted from length and breadth of the rectangle, the perimeter becomes 26’. What … Read more

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

Question 1.By using variables x and y form any five linear equations in two variables.Answer:The general form of a linear equation in two variables x and y is ax + by + c = 0,where a, b, c are real numbers and a ≠ 0, b ≠ 0.Five linear equations in two variables are as … Read more

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

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

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

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

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