SSC CGL Tier-2 19-February-2018 Maths

Instructions

For the following questions answer them individually

Question 51

What is the value of $$[(\cos 3\theta + 2\cos 5\theta + \cos 7\theta) \div (\cos \theta + 2\cos 3\theta + \cos 5\theta)] + \sin 2\theta \tan 3\theta$$?

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Question 52

What is the value of $$\frac{[2 \sin (45 + \theta) \sin (45 - \theta)]}{\cos 2\theta}$$?

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Question 53

What is the value of sin (90° + 2A)[4 - $$\cos^2$$ (90° - 2A)]?

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Question 54

What is the value of $$[\cos (90 + A)\div \sec (270 - A)] + [\sin (270 + A)\div \cosec (630 - A)]$$?

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Question 55

On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45° to 60°. What will be the height (in metres) of the building?

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Question 56

The upper part of a tree broken over by the wind make an angle of 60° with the ground. The distance between the root and the point where top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree?

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Question 57

The height of a tower is 300 meters. When its top is seen from top of another tower,then the angle of depression is 60°. The horizontal distance between the bases of the two towers is 120 metres. What is the height (in metres) of the small tower?

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Instructions

The given table shows the number (in percent) of employees working in different departments of an organization. The table also shows the ratio of males and females and the ratio of employees living in city Z and employees living in city Y. The total number of employees in the organization are 80000.

Question 58

How many employees of department A and C together are living in city Z?

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Question 59

Male employees of department E is what percent of the employees living in city Z from department A?

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Question 60

What is the ratio of male employee working in department B and D together to female employee working in department A and E together?

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