SSC CHSL 9th August 2021 Shift-3

Instructions

For the following questions answer them individually

Question 61

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 $$\pi = \frac{22}{7}$$

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Question 62

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?

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Question 63

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

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Question 64

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)

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Question 65

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:

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Question 66

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?

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Question 67

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

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Question 68

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?

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Question 69

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

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Question 70

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

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