A retailer buys a TV from a wholesaler for 20,000 and sells it to a consumer at a 10% profit. If the GST rate is 18%, calculate the total tax paid by the retailer to the Government.

• (A) 3,600
• (B) 3,960
• (C) 360
• (D) 2,000

Find the value of \(k\) if \((x - 3)\) is a factor of the polynomial \(x^3 - kx^2 + 15x - 6\).

• (A) \(k = 5\)
• (B) \(k = \frac{22}{3}\)
• (C) \(k = 7\)
• (D) \(k = 8\)

Solve the quadratic equation \(x^2 - 5x - 10 = 0\) and give your answer correct to two decimal places.

• (A) 6.53, -1.53
• (B) 5.53, -0.53
• (C) 6.35, -1.35
• (D) 7.12, -2.12

In a circle, two chords \(AB\) and \(CD\) intersect internally at \(P\). If \(AP = 4 cm\), \(PB = 6 cm\), and \(CP = 3 cm\), find the length of \(PD\).

• (A) 4 cm
• (B) 6 cm
• (C) 8 cm
• (D) 12 cm

From the top of a 100 m high cliff, the angle of depression of a boat is \(45^{\circ}\). Calculate the distance of the boat from the foot of the cliff.

• (A) 50 m
• (B) 100 m
• (C) 100\(\sqrt{3}\) m
• (D) 200 m

A bag contains 5 red, 8 white, and 7 black balls. A ball is drawn at random. Find the probability that the ball drawn is neither red nor black.

• (A) \(\frac{1}{4}\)
• (B) \(\frac{2}{5}\)
• (C) \(\frac{3}{5}\)
• (D) \(\frac{7}{20}\)