Quantitative Aptitude - Arithmetic Ability Questions

If (5/9 of x) ­- (2/5 of 9/4) equals ­ -4/5 then find x.

If a+b+c = 0, then (a^3 + b^3 + c^3)^2 = ?

If x = (√2 + 1)/(√2 – 1), then what is the value of (x5 + x4 + x2 + x)/x3 ?

If a - b = 4 and ab = -3, then what is the value of a3- b3?

If a3- b3= 91 and a - b = 1, then what is the value of ab?

Δ PQR is right angled at Q. If m√R = 30°, then what is the value of Cot P?

AB and AC are the two tangents to a circle whose radius is 6 cm. If ∠BAC = 60 deg, then what is the value (in cm) of √(AB2 + AC2)?

If medians of a triangle have lengths 18 cm, 24 cm and 30 cm, then what is the area (in sq.cm) of the triangle?