Quantitative Aptitude - Arithmetic Ability Questions

What is the value of sin225°+ sin265°?

In ∆XYZ measure of angle Y is 90 deg. If cosecX = 13/12, and XY = 1cm, then what is the length ( in cm ) of side YZ?

A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7:10:13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?

If y% of y is 289, then what is the value of y?

If x = 222, y = 223, z = 225 then the value ofx3 + y3 + z3 - 3xyz is

If (23)2= 4x then 3x is equal to

If sin 3θ sec 2θ = 1, then what is the value of [3 tan2(5θ/2) – 1]?

In an arithmetic progression if 13 is the 3rd term, -­47 is the 13th term, then ­-17 is which term?