A) For each of the following questions, there are four alternative answers, choose the correct options and write the alphabet. 1) If 6:5 = y:20 then what is the value of y? 2) If 5x + 7y = 17 and 7x +

Here are the solutions to the questions. 1. A) For each of the following questions, there are four alternative answers, choose the correct options and write the alphabet. 1) If 6:5 = y:20 then what is the value of y? Step 1: Write the proportion as a fraction. (6)/(5) = (y)/(20) Step 2: Multiply both sides by 20 to solve for y. y = (6)/(5) × 20 y = 6 × 4 y = 24 The correct option is c). c) 24 2) If 5x + 7y = 17 and 7x + 5y = 19 then what is the value of x + y? Step 1: Add the two given equations. (5x + 7y) + (7x + 5y) = 17 + 19 5x + 7x + 7y + 5y = 36 12x + 12y = 36 Step 2: Factor out 12 from the left side. 12(x + y) = 36 Step 3: Divide by 12 to find x + y. x + y = (36)/(12) x + y = 3 The correct option is c). c) 3 3) A person has earned his income during the financial year 2024-25. Then his assessment year is ........ The assessment year is the year immediately following the financial year in which the income was earned. Financial Year: 2024-25 Assessment Year: 2025-26 The correct option is b). b) 2025-26 4) What is the class mark of 35-45? The class mark is the midpoint of a class interval, calculated as the average of the lower and upper limits. Class Mark = Lower Limit + Upper Limit2 Class Mark = (35 + 45)/(2) Class Mark = (80)/(2) Class Mark = 40 The correct option is d). d) 40 1. B) Solve the following sub-questions. 1) Write two solutions of the equation x + y = 10. To find solutions, choose a value for x and solve for y, or vice versa. • If x = 0: 0 + y = 10 y = 10 So, (0, 10) is a solution. • If x = 5: 5 + y = 10 y = 10 - 5 y = 5 So, (5, 5) is a solution. Two solutions are (0, 10) and (5, 5). (Other valid solutions include (1,9), (10,0), etc.) 2) Write the ratio of first quantity to second quantity in reduced form. 3.5 kg, 4kg Step 1: Write the ratio. Ratio = 3.5 kg4 kg Step 2: Convert the decimal to an integer by multiplying the numerator and denominator by 10. Ratio = (3.5 × 10)/(4 × 10) = (35)/(40) Step 3: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 5. Ratio = (35 ÷ 5)/(40 ÷ 5) = (7)/(8) The ratio is 7:8. 3) Find the mode of 7, 10, 7, 5, 9, 10. The mode is the value that appears most frequently in a data set. In the given data: • 7 appears 2 times. • 10 appears 2 times. • 5 appears 1 time. • 9 appears 1 time. Since both 7 and 10 appear twice, they are both modes. The modes are 7 and 10. 4) Which are two types of taxes? Two common types of taxes are Direct Tax and Indirect Tax. Two types of taxes are Direct Tax and Indirect Tax. (Examples of direct tax include income tax, property tax. Examples of indirect tax include sales tax, GST.) 2. A) Attempt the following activities. (Any 2) 1) Find the median of the data 30, 25, 32, 23, 42, 36, 40, 33, 21, 43. Step 1: Arrange the given observations in ascending order. The student has already done this: 21, 23, 25, 30, 32, 33, 36, 40, 42, 43 Step 2: Count the number of observations (n). There are 10 observations. So, n = 10. Step 3: Determine if n is even or odd. n = 10 is an even number. Step 4: For an even number of observations, the median is the average of the two middle terms. The middle terms are the ((n)/(2))^th term and the ((n)/(2) + 1)^th term. (n)/(2) = (10)/(2) = 5^th term (n)/(2) + 1 = (10)/(2) + 1 = 5 + 1 = 6^th term From the sorted list: The 5th term is 32. The 6th term is 33. Step 5: Calculate the median. Median = 5^th term + 6^th term2 Median = (32 + 33)/(2) Median = (65)/(2) Median = 32.5 The median of the data is 32.5. Send me the next one 📸