In an army camp there is sufficient food for 120 cadets for 24 days. If 48 cadets leave the camp, how long would the food last?

Section A, Question 1

Step 1: Standard value of $\sin\frac{\pi}{3}$.

$\sin\frac{\pi}{3} = \frac{\sqrt{3}}{2}$

Step 2: Standard value of $\cos\frac{\pi}{3}$.

$\cos\frac{\pi}{3} = \frac{1}{2}$

Step 3: Add the values.

$\sin\frac{\pi}{3} + \cos\frac{\pi}{3} = \frac{\sqrt{3}}{2} + \frac{1}{2} = \frac{1 + \sqrt{3}}{2}$

\dfrac{1 + \sqrt{3}{2}}

Section A, Question 2 (Men work problem)

Step 1: Total man-days required for the wall.

30 men $\times$ 20 days = 600 man-days.

Step 2: Days taken by 25 men.

Days = $\frac{600}{25} = 24$ days.

24 \text{ days}

Section B, Question 1 (Probability of two tails)

Step 1: Probability of tails on single fair coin toss.

$P(tail) = \frac{1}{2}$

Step 2