A cubical tank has a side of 4 m and is full of water. How much water does it contain in litres?

The length of the wire represents the perimeter of the square.

$$\text{Perimeter} = 4 \times \text{side}$$ $$96 \text{ m} = 4 \times \text{side}$$ $$\text{side} = \frac{96 \text{ m}}{4} = 24 \text{ m}$$

$$\text{Area} = \text{side}^2$$ $$\text{Area} = (24 \text{ m})^2 = 576 \text{ m}^2$$

The correct option is A).

$$\boxed{\text{A) } 576 \text{ m}^2}$$

10. Mary and Asha share 18 kg of maize flour. Mary receives 4 kg more than Asha. How much does each receive?

Let Asha's share be $A$ kg.
Let Mary's share be $M$ kg.

$$A + M = 18 \quad (\text{Equation 1})$$ $$M = A + 4 \quad (\text{Equation 2})$$

$$A + (A + 4) = 18$$ $$2A + 4 = 18$$ $$2A = 18 - 4$$ $$2A = 14$$ $$A = \frac{14}{2} = 7 \text{ kg}$$

$$M = 7 + 4 = 11 \text{ kg}$$

So, Mary receives 11 kg and Asha receives 7 kg.
The correct option is C).

$$\boxed{\text{C) Mary 11 kg, Asha 7 kg}}$$

11. A hall can accommodate at most 320 learners. If x represents the number of learners in the hall, which inequality is correct?

This means the number of learners ($x$) can be 320 or any number less than 320.

$$x \le 320$$

The correct option is B).

$$\boxed{\text{B) } x \le 320}$$

12. A cylindrical tank has radius 4 cm and height 6 cm. What is its volume? Take $\pi = 3.142$.

$$V = 3.142 \times (4 \text{ cm})^2 \times 6 \text{ cm}$$ $$V = 3.142 \times 16 \text{ cm}^2 \times 6 \text{ cm}$$

$$V = 3.142 \times 96 \text{ cm}^3$$ $$V = 301.632 \text{ cm}^3$$

Rounding to one decimal place, $V \approx 301.6 \text{ cm}^3$.
The correct option is A).

$$\boxed{\text{A) } 301.6 \text{ cm}^3}$$

13. A 13 m ladder rests against a vertical wall. Its foot is 5 m from the wall. How high up the wall does it reach?

The ladder is the hypotenuse ($c$), the distance from the wall is one leg ($a$), and the height up the wall is the other leg ($b$).
Apply the Pythagorean theorem: $a^2 + b^2 = c^2$.

$$5^2 + b^2 = 13^2$$

$$b^2 = 169 - 25$$ $$b^2 = 144$$

$$b = \sqrt{144}$$ $$b = 12 \text{ m}$$

The correct option is C).

$$\boxed{\text{C) } 12 \text{ m}}$$

14. A rectangular garden is 18 m long and 11 m wide. What is its area?

$$\text{Area} = 198 \text{ m}^2$$

The correct option is B).

$$\boxed{\text{B) } 198 \text{ m}^2}$$

15. Calculate the area of a parallelogram whose base is 15 cm and perpendicular height is 8 cm.

$$\text{Area} = 120 \text{ cm}^2$$

The correct option is C).

$$\boxed{\text{C) } 120 \text{ cm}^2}$$

16. A cubical tank has a side of 4 m and is full of water. How much water does it contain in litres?

$$\text{Volume} = \text{side}^3$$ $$\text{Volume} = (4 \text{ m})^3 = 64 \text{ m}^3$$

(Note: $1 \text{ m}^3 = 1000 \text{ litres}$)

$$\text{Volume in litres} = 64 \text{ m}^3 \times 1000 \text{ litres/m}^3$$ $$\text{Volume in litres} = 64,000 \text{ litres}$$

The correct option is C).

$$\boxed{\text{C) } 64,000 \text{ litres}}$$