SSC CHSL 9th August 2021 Shift-3

The total surface area of a solid cube is 4.86 m$$^2$$. It is melted and recastinto a right circular cylinderof radius 0.3 m. What is the height (in m)of the cylinder (correct to one decimal place)? Take $$\pi = \frac{22}{7}$$

In what time will a sum of ₹1,25,000 amountto ₹1,48,877 at 12% per annum, if interest is being compounded half yearly?

If $$\sin B = \frac{9}{11}$$, then what is the value of $$\cot B$$, where $$0^\circ < B < 90^\circ$$?

Two trains X and Yof lengths 450 meters and 550 meters, respectively, are running in the same direction on parallel tracks. If the speeds of X and Yare 58 km/h and 86 knvh, respectively, then what will be the time taken by them to cross each other?
(correct to one decimal place)

The value of $$\frac{\cos 8^\circ \cos 24^\circ \cos 60^\circ \cos 66^\circ \cos 82^\circ}{\sin 82^\circ \sin 66^\circ \sin 60^\circ \sin 8^\circ \sin 24^\circ}$$ is:

Study the following graph and answer the question that follows.
Number of students that appeared and qualified, from various colleges, at a scholarship examination.

The average number of students that qualified in the examination from Colleges X and Y is what percentage of the average number of students that appeared for the examination from the same colleges?

If $$3x + y = 12$$ and $$xy = 9$$, then the value of $$(3x - y)$$ is:

The difference between the two perpendicular sides of a right-angled triangle is 17 cm andits area is 84 cm$$^2$$ , What is the perimeter (in cm) of the triangle?

The perimeter of an isosceles triangle is 220 cm.If the base is 40 cm, then the length of each ofthe other sides is:

If $$x : y = 4 : 5$$, then the value of $$(8x - 6y) : (9x - 7y)$$ is: