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

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

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


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 ?

Question 95

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

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 ?


Question 97

What percent of the total income does the family save

Question 98

Whatis the ratio of expenses on food and miscellaneous ?

Question 99

Whatis the average of expensesonclothing and rent?


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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