Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, PQR is a right angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR?

What is the value of [(sin x + sin y) (sin x – sin y)]/[(cosx + cosy) (cosy – cosx)]?

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

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 2x -3(x + 2) < 5 - 2x < -x + 2, then find the value of x.

What is the slope of the line perpendicular to the line passing through the points (-2, 3) and (2, 0)?

If 1/(1 + cosA) + 1/(1 ­- cosA) = x , then value of x is

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