Quantitative Aptitude - Arithmetic Ability Questions

A balloon leaves from a point P rises at a uniform speed. After 6 minutes, an observer situated at a distance of 450√3 metres from point P observes that angle of elevation of the balloon is 60 deg. Assume that point of observation and point P are on the same level. What is the speed (in m/s) of the balloon?

If (1 - sinA)/(1 + sinA) = x, then x is

If xy (x + y) = m, then the value of x3 + y3 + 3m is:

If [2(4x/5 - 3/4)]/3 - 5/3 = -1/6, then the value of x is?

If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35, then what is the value of abc?

What is the value of cos (90 – B) sin (C – A) + sin (90 + A) cos (B + C) – sin (90 – C) cos (A + B)?

Select the odd word/letters/number/number pair from the given alternatives.

If Cot θ = 21/20, then what is the value of Cosec θ?