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 +

$$
y = \frac{6}{5} \times 20
$$
$$
y = 6 \times 4
$$
$$
y = 24
$$
The correct option is **c)**.
$$
\boxed{\text{c) 24}}
$$

• 2) If $5x + 7y = 17$ and $7x + 5y = 19$ then what is the value of $x + y$?

$$
x + y = \frac{36}{12}
$$
$$
x + y = 3
$$
The correct option is **c)**.
$$
\boxed{\text{c) 3}}
$$

• 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).

  $$\boxed{\text{b) 2025-26}}$$

• 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.

  $$\text{Class Mark} = \frac{\text{Lower Limit} + \text{Upper Limit}}{2}$$ $$\text{Class Mark} = \frac{35 + 45}{2}$$ $$\text{Class Mark} = \frac{80}{2}$$ $$\text{Class Mark} = 40$$

  The correct option is d).

  $$\boxed{\text{d) 40}}$$

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 $x = 0$:
  $$0 + y = 10 \implies y = 10$$

  So, $(0, 10)$ is a solution.

  • If $x = 5$:
  $$5 + y = 10 \implies y = 10 - 5 \implies y = 5$$

  So, $(5, 5)$ is a solution.

  $$\boxed{\text{Two solutions are } (0, 10) \text{ and } (5, 5).}$$

  (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

$$
\text{Ratio} = \frac{35 \div 5}{40 \div 5} = \frac{7}{8}
$$
$$
\boxed{\text{The ratio is } 7:8.}
$$

• 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.
  $$\boxed{\text{The modes are 7 and 10.}}$$

• 4) Which are two types of taxes? Two common types of taxes are Direct Tax and Indirect Tax.

  $$\boxed{\text{Two types of taxes are Direct Tax and Indirect Tax.}}$$

  (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.

The middle terms are the $(\frac{n}{2})^{\text{th}}$ term and the $(\frac{n}{2} + 1)^{\text{th}}$ term. $\frac{n}{2} = \frac{10}{2} = 5^{\text{th}} \text{ term}$ $\frac{n}{2} + 1 = \frac{10}{2} + 1 = 5 + 1 = 6^{\text{th}} \text{ term}$ From the sorted list:
The 5th term is 32.
The 6th term is 33.