SSC CGL 9th Dec 2022 Shift-2

Instructions

For the following questions answer them individually

Question 51

The table given below shows the number of officers working in six companies.

What is the total number of officers working in all the companies?

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Question 52

If $$\cos(A - B) = \frac{\sqrt{3}}{2}$$ and $$\cos(A + B) = 0$$, where A and B are positive acute angles and A $$\geq$$ B, then the measures of A and B are:

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Question 53

A person travels in a car at 40 km/h for 3 hours, on a bike at 30 km/h for 2 hours, and in a train at 80 km/h for 5 hours. What is the average speed at which he travelled?

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Question 54

If $$x^{2} + \frac{1}{x^{2}} = 66$$, the value of $$x - \frac{1}{x}$$ is ____________.

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Question 55

If $$\tan A = \frac{2}{3}$$, then find $$\sin A$$.

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Question 56

20 men can finish a work in 220 days, but at the end of 90 days, 20 additional men are employed. In how many more days will the work be completed?

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Question 57

If $$\frac{\sin \theta + \cos \theta}{\sin \theta - \cos \theta} = \frac{3}{2}$$, then the value of $$\sin^{4} \theta - \cos^{4} \theta$$ is:

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Question 58

The length of the side of a cube is 2.8 cm. What is the volume of the largest sphere that can be taken out of the cube?

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Question 59

In a circle of radius 3 cm, two chords of length 2 cm and 3 cm lie on the same side of a
diameter. What is the perpendicular distance between the two chords?

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Question 60

$$K+\frac{1}{K} = 4$$, then what is the value of $$K^{4} + \frac{1}{K^{4}}$$?

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