Quantitative Aptitude - Arithmetic Ability Questions

A 8 cm long perpendicular is drawn from the centre of a circle to a 12 cm long chord. The diameter of the circle is

If a3 + b3 = 19 and ab = -6 , then what is the value of a + b?

If the perimeter of a semicircle is 36 cm, then find its area (in cm2).

The circumference of a circle is 110 cm. Find its radius (in cm).

If x = 1.1, then what is the value of 4x2 -4x + 1 ?

If a cone is divided into two parts by drawing a plane through the midpoints of its axis, then the ratio of the volume of the 2 parts of the cone is

A and B have their annual average income Rs. 80,000.
B and C have their annual average income Rs. 75,000.
C and A have their annual average income Rs. 78,000.

The annual income of A is ?

If cotA/√(1 + cot2A) = x, then the value of x is