SSC CHSL 1st June 2022 Shift-1

For what angle D is $$\triangle$$ ABC congruent to $$\triangle$$ DEF, given AC = 2.5 cm, BC = 5 cm, $$\angle C = 75^{\circ}$$, DE = 2.5 cm and DF = 5 cm?

If $$8x^{2} + 9x + 8 = 0$$, then the value of $$x^{3} + \frac{1}{x^{3}}$$ is:

The profit triples if the selling price is doubled. The profit percentage is:

A man can complete a work in 20 days, and a woman can complete the same work in 10 days. If they work on it together for 5 days, then how many days will the woman take to complete the rest of the work?

A family spends 8% of its monthly income on charity. In a particular month, the family spent ₹1,200 on charity. What is the income in that month?

How many numbers between 100 and 1000 are divisible by 17?

Study the following bar-chart and answer the question that follows.
The bar-chart shows the sales of laptops (in thousands) over a period of four years.

Find the percentage increase in sales from 2012 to 2013 giving your answer correct to two places of decimal.

The area of a triangle is 96 $$cm^{2}$$ and the length of one of its sides is 24 cm. What is the length of the perpendicular drawn to this side of the triangle from the opposite vertex?

Find the value of $$\left(\frac{9^{3} + 9^{4} + 9^{5} + 9^{6} + 9^{7}}{9^{1} + 9^{2} + 9^{3} + 9^{4} + 9^{5}}\right)^{\frac{1}{2}}$$

The value of $$\sin 2\theta \left(\tan \theta + \cot \theta\right)$$ is: