Quantitative Aptitude - Arithmetic Ability Questions

If θ is acute angle and sin(θ+18°)= 1/2, then the value of θ in circular measure is

The length of a chord which is at a distance of 12 cm from the centre of a circle of radius 13 cm is

What is the value of Cot 45° - (1/√3)Cosec 60°?

What is the value of sin 330°?

If cos -225° = x, then the value of x is

What is the total number of points in the plane of triangle ABC which is equidistant from the vertices of the triangle?

Find the unit digit in the given product (4211)102 x (361)52.

If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?