SSC FCI Assistant Grade III 2012 Paper-4

In the cylindrical vessel of a diameter 24cm filled up with sufficient quantity of water a solid spherical ball of radius 6cm is completely immersed .Then the increase in height of water level is

If $$x-\frac{1}{x}$$=5, then $$x^{2}+\frac{1}{x^{2}}$$ is

Each side of an equilateral triangle is 6cm.Find its area.

If sin $$17^\circ$$=$$\frac{x}{y}$$ then the value of $$sec 17^\circ-sin 73^\circ$$

The distance between Howrah and New Delhi via Patna is 1440-km, and the distance between Howrah and New Delhi via Gaya is 5% less. Then the distance between theplaces via Gaya (in‘kms)is

The value of $$\tan 1^\circ \tan 2^\circ \tan 3^\circ ....... \tan 89^\circ$$ is

$$0.\overline{123}$$ is equal to

ABCD is a cyclic parallelogram. The $$\angle B$$ is equal to

Ravi travels 300 km partly by train and party by car .He takes 4h to reach , If he travels 60kms by train and rest by car .He will take 10 minutes more if he were to travel 100 km by train and rest by car .The speed of the train is

The angles of elevation of the top of a tower from two points A and B lying on the horizontal through the foot of the tower are respectively $$15^\circ and 30^\circ$$, If Aand B are on the same side of the tower and AB=48 m, then the height of the tower is