SSC CGL Tier-2 12-January-2017 Maths

The distance between two pillars is 120 metres. The height of one pillar is thrice the other. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the taller pillar is (Use : $$\surd3 = 1.732$$)

If $$x = \cosec \theta - \sin \theta$$ and $$y = \sec \theta - \cos \theta$$, then the relation between x and y is

A hydrogen filled balloon ascending at the rate of 18 kmph was drifted by wind. Its angle of elevation at 10th and 15th minutes were found to be $$60^\circ$$ and $$45^\circ$$ respectively. The wind speed (in whole numbers) during the last five minutes, approximately, is equal to

The angle of elevation of an aeroplane as observed from a point 30 m above the transparent water-surface of a lake is $$30^\circ$$ and the angle of depression of the image of the aeroplane in the water of the lake is $$60^\circ$$. The height of the aeroplane from the water-surface of the lake is

The angles of depression of two ships from the top of a light house are $$60^\circ$$ and $$45^\circ$$ towards east. If the ships are 300 m apart, the height of the light house is

What is the difference between the total number of females and the total number of males from all the organisations together?

By how much percentage is the average number of females from all the organisations together is more than the number of males in organization 'D'?

What is the ratio of the number of females from the organisations B and C to the number of males from the organisations D and E?

Males from organisations A and B together form what percent of total number of males from organisations C, D and E together?

What is the ratio of average number of females from the organisations A, B and C to the average number of males from the organisations C, D and E?