Quantitative Aptitude - Arithmetic Ability Questions

Two circles of equal radii intersect each other such that one circle will pass through the centre of the other circle. The distance between the centre of two circles is equal to 6 cm. Find the length (in cm) of common chord.

For what value of C, the system of equation 6x + 2y = 2 & 3x + y = C will be coincident?

What is the sum of the measures of all the interior angles of a regular polygon of 5 sides?

If X + Y = 19 and X - Y = 7, then XY = ?

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 110 deg then the angle POA is

ΔABC is right angled at B. If m∠A = 60 deg, then find the value of (secC + 2)

A cylindrical vessel of height 7 cm and radius 5 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 8 cm what will be the height of this cone?

Two ships are sailing in the sea on the two sides of a light house. The angle of elevation of the top of the light house as observed from the two ships are 30° and 45° respectively. If the light house is 100m high, the distance between the two ships is :(take √3=1.73)