SSC CHSL 12th April 2021 Shift-1

The line graph shows the production (in tonnes) and the sales (in tonnes) of a company.
What percentage (approximately) of the total production of the company is the total sales of the company in all the years together? (correct to 2 decimal places)

If $$\cos \theta = \frac{\sqrt{5}}{2}$$, then what will be the value of $$(\sec \theta + \tan \theta - \cot \theta \sin \theta)$$?

One diagonal of a rhombus is $$8\sqrt{3}$$ cm. If the other diagonal is equal to its side, then the area (in cm$$^2$$) of the rhombus is

The average weight of 30 persons of group A is 3 kg more than the average weight of 25 persons of group B. The average weight of 25 persons of group is 2.5 kg more than the average weight of 20 persons of group C. If the total weight of 30 persons of group A is 1725 kg, then what will be the average weightof the persons of group A and group C taken together (in kg)?

In $$\triangle ABC, \angle A = 135^\circ, CA = 5\sqrt{2}$$ cm and AB = 7 cm. E and F are the midpoints of sides AC and AB, respectively. The length of EF (in cm) is:

Study the given graph and answer the question that follows.

What is the ratio of the total exports in 2014 and 2017 to the total imports in 2015 and 2018?

If $$x^2 - 6\sqrt{3}x + 1 = 0$$, then the value of $$x^3 + \frac{1}{x^3}$$ will be:

A car covers a distance of 48 km at a speed of 40 km/hand another 52 km with a speed of 65 km/h. Whatis the average speed of the car (in km/h) for the total distance covered?

Simplify the following expression. $$(2x - 3y)^3 - 18xy(2x - 3y)$$

Anamika paid ₹4,965 as compound interest on a loan of ₹15,000 after 3 years when compounded annually. Suman took a loan of ₹10,000 at the same rate on simple interest. How much interest did Suman pay after 3 years?