SSC CGL Tier-2 01-December-2016 Maths

Instructions

For the following questions answer them individually

Question 91

If $$2y \cos \theta = x \sin \theta  and  2x \sec \theta - y \cosec \theta = 3$$, then the value of $$x^2 + 4y^2$$ is

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Question 92

From the top of a cliff 100 metre high, the angles of depression of the top and bottom of a tower are $$45^\circ$$ and $$60^\circ$$ respectively. The height of the tower is

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Question 93

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of the bottom of the flag staff is $$\alpha$$ and that of the top of the flag staff is $$\beta$$. Then the height of the tower is

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Question 94

A man on the top of a tower, standing on the sea-shore, finds that a boat coming towards him takes 10 minutes for the angle of depression to change from $$30^\circ$$ to $$60^\circ$$. How soon the boat reach the sea-shore ?

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Question 95

The expression of $$\frac{\cot \theta + \cosec \theta - 1}{\cot \theta + \cosec \theta + 1}$$ is equal to

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Instructions

The following pie-chart shows the monthly expenditure of a family on various items. If the family spends Rs. 825 on clothing, answer the question

Question 96

Whatis the total monthly income of the family ?

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Question 97

What percent of the total income does the family save

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Question 98

Whatis the ratio of expenses on food and miscellaneous ?

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Question 99

Whatis the average of expensesonclothing and rent?

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Question 100

The ratio of average of expenses on food, clothing and miscellaneous items to the average of expenses on savings and rent is

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