SSC CGL 7th Dec 2022 Shift-4

Instructions

For the following questions answer them individually

Question 51

If $$4\tan \theta = 3$$, then $$\frac{4\sin \theta - \cos \theta + 1}{4\sin \theta + \cos \theta - 1}$$ = ____________.

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Question 52

The percentage distribution of employees in different categories in a company is shown by the following pie chart.


What is the central angle corresponding to the employees of Group-B?

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Question 53

The volume of the sphere is 38,808 $$cm^{3}$$. What is the surface area of the sphere?

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Question 54

If $$X + \frac{1}{x} = 7$$, find the value of $$X^{3} + \frac{1}{x^{3}}$$.

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Question 55

If $$\tan A = 10/15$$, then what will be the value of $$\cos^{2} A$$?

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Question 56

If $$\left(a+1\right)^{2} + \left(a+2\right)^{2} = 16$$ then what is the value of $$40 + 12a + 4a^{2}$$

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Question 57

12 men and 12 women can complete a piece of work in 9 days. 6 men and 15 women can complete the same work in 12 days. How long (in days) would it take 9 women to complete half the work?

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Question 58

The radius of a hemisphere is 5.6 cm. What will be its volume?

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Question 59

Two trains are moving in the same direction at the speed of 36 km/hr and 48 km/hr. The time taken by faster train to cross a man sitting in the slower train is 33 seconds. What will be the length of the faster train?

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Question 60

If $$\tan \theta+ \cot \theta = 12$$ , then $$\tan^{2}\theta+\cot^{2}\theta$$ is:

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