Quantitative Aptitude - Arithmetic Ability Questions

The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is

In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?

If tan(A/2) = x, then the value of x is

Two fractions are such that their product is ­4 and sum is ­32/15. Find the two fractions.

If cot π/3c -­ tan π/4c = x, then the value of x is

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

The slopes of two lines are 1 and √3. What is the angle between these two lines?

For triangle ABC, find equation of median AD if co­-ordinates of points A, B and C are (2,­4), (3,0) and (5,­2) respectively?