Quantitative Aptitude - Arithmetic Ability Questions

If x + y = 12 and x2 + y2 = 94, then xy is 

Calculate the area (in cm2) of a circle of radius 17.5 cm.

If Cos θ = 5/13, then Cosec θ = ?

If (333 + 333 + 333) (233 + 233) = 6x, then what is the value of x?

What is the value of 143 + 163 + 183 + ... + 303?

Two men standing on same side of a pillar 75 metre high, observe the angles of elevation of the top of the pillar to be 30° and 60° respectively the distance between two men is

If θ>0, be an acute angle, then the value of it in degrees satisfying cos2θ-3cosθ+2sin2θ=1 is

A number is divided into two parts in such a way that 30% of first part is 25 more than the 20% of second part. 50% of second part is 33.5 more than the 60% of first part. What is the number?