Quantitative Aptitude - Arithmetic Ability Questions

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

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?

3cosA is equal to

If sin8 θ + cos8 θ – 1 = 0, then what is the value of cos2 θ sin2 θ (If θ ≠ 0 or π/2)?

The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 5:3:10 is

What is the simplified value of (cos A + sin A)(cot A + tan A)?

Two donkeys are standing 400 meters apart. First donkey can run at a speed of 3 m/sec and the second can run at 2 m/sec. If two donkeys run towards each other after how much time (in sec) will they bump into each other?

Rakshanth is twice as good as tradesman as Verma and together they finish a piece of work in 19 days. In how many dayswill Verma alone finish the work?