SSC CHSL 10th August 2021 Shift-1

A solid metallic sphere of radius 10 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?

There are 3 groups of persons — male, female and children. There are 20 males and the number of females and children taken together is 4 more than that of the males. The average weight of males is 54 kg, that of females is 49 kg and that of children is 30 kg. If the average weight of the whole group is 48.25 kg. then what is the difference between the number of females and the number of children?

If $$x + \frac{1}{15 x} = 3$$, then the value of $$9x^3 + \frac{1}{375 x^3}$$ will be:

Simplify the given expression.
$$\left(x - \frac{2}{x}\right)^3 - \left(x + \frac{2}{x}\right)^3$$

Study the given graph and answer the question that follows.

By what percentage is the average expenditure of the company in 2014, 2016 and 2018 less than the revenue in 2017?

Evaluate the following expression.
$$\frac{3(\cot^2 46^\circ - \sec^2 44^\circ)}{2(\sin^2 28^\circ - \sin^2 62^\circ)} + \frac{2\cos^2 60^\circ \tan^2 33^\circ \tan^2 57^\circ}{\sec^2(90^\circ - \theta) - \cot^2 \theta}$$

Nalini’s younger brother is 12 years old. If the ratio of the age of Nalini to that of her brother is 7 : 6, then what will be ratio in their ages 6 years hence?

$$16\frac{1}{4} \div \left[2\frac{1}{6} + \left\{4\frac{1}{3} - \left(2\frac{1}{2} + \frac{3}{4}\right)\right\}\right]$$ is equal to:

The number of students enrolled in different streams at Senior Secondary level in five schools is shown in the bar graph. What is the ratio of the number of students of science stream of schools A, B and D taken together to the number of students of vocational stream in schools B, D and E taken together?

ABC is a triangle inscribed in a circle and $$\angle ACB$$ is equal to $$35^\circ$$. P is a point on the circle on the side AB, opposite to C. What is the value of $$\angle APB$$ in degrees?