List of practice Questions

Find the value of $k$ if $(x - 3)$ is a factor of the polynomial $x^3 - kx^2 + 15x - 6$.
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.
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.
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 $PD$.
Solve the quadratic equation $x^2 - 5x - 10 = 0$ and give your answer correct to two decimal places.
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.