SSC CHSL 25th May 2022 Shift-1

Find the volume of a hemisphere of radius 21 cm. (Use $$\pi=\frac{22}{7}$$)

Rakesh runs 4/3 times as fast as Mukesh. In a race, if Rakesh gives a lead of 60 m to Mukesh, find the distance from the starting point where both of them will meet.

Study the given graph carefully and answer the question that follows.
Production of food grains by a state over the years (1000 tonnes)

What was the percentage drop in the production of food grains from 2018 to 2019 (consider up to two decimals)?

If $$x^{2} = b - ax$$ and $$x^{3} \left(x^{3} + c\right) = d$$, then which of the following can be the values of c and d?

A bike is purchased for ₹50,000. Its rate depreciates at 10% annually. In how many years will its value be ₹36,450?

If 2945 $$\div$$ 19 - 11 $$\times$$ 5 = 29 + a, find the value of a.

If 15 kg of sugar cost ₹600, what is the cost of 25 kg of sugar?

Nikhil suffers a loss of ₹140 when he sells a perfume at 20% discount. Find the marked price of the perfume if the cost price is ₹380.

A sphere passes through the eight corners of a cube of side 14 cm. Find the volume (in $$cm^{3}$$) of the sphere.
Take $$\pi = \frac{22}{7}$$

If the height and slant height of a right circular cone are 8 cm and 10 cm, respectively,
then the volume of the cone is (use 7t = f ): ( correct the two decimal places)