SSC CHSL 26th May 2022 Shift-3

Simplify the following expression.
$$9\frac{1}{5}\div\left\{\left(16\frac{1}{5}\div\overline{12\frac{2}{3}-9\frac{2}{3}}\right)+17\frac{1}{2} of 3\frac{1}{21}\right\}$$

If the diameter of a solid hemisphere is 14 cm, then what will be its total surface area? ($$\pi=\frac{22}{7}$$)

A and B working separately can do a piece of work in 21 and 24 days, respectively. If they work for a day alternately with A beginning the work, it would be completed in _________.

The third proportional to 81 and 27 is:

The marked price of a study table is ₹3,200. It will be offered for ₹2,448 after two successive discounts. If the first discount is 10%, the second discount is:

If the 3-digit number 2x3 is divisible by 3, then the value of $$x^{2}+ x$$ is (consider the maximum value of x):

A given bar chart shows the heights of seven hills. Study the graph and answer the question that follows.

Which hill is the third highest?

In an election between two candidates, 10% of the voters did not cast their vote and 5% of the votes polled were found invalid. The successful candidate got 55% of the valid votes and won by a majority of 1710 votes. How many voters were enrolled?

15 identical solid spherical balls of radius 5 cm are melted to form a single sphere. In this process, 35% of the mass is wasted. What is the radius (in cm) of the single sphere that is now formed? [Use $$\pi = \frac{22}{7}$$, and give your answer correct to two decimal places.]

If $$\left(X+\frac{1}{x}\right)=\frac{11}{5}$$, what is the value of $$\left(X^{3}+\frac{1}{x^{3}}\right)?$$