Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [(cos32θ + 3 cos 2θ)÷(cos6θ – sin6θ)]?

The ratio of present ages of R and S is 6:7. Before 12 years the ratio of their ages was 9:11. What is R's present age (in years)?

If (x2/yz) + (y2/zx) + (z2/xy) = 3, then what is the value of (x + y + z)3?

If x2+1x2 = 2, then the value of x - 1x is

If secA + tanA = x, then the value of x is

At what point does the line 3x + 2y = 12 cuts the Y-axis?

If a shopkeeper sells an item at Rs 4200 which is marked as Rs 4800, then what is the discount (in %) that he is offering?

A train has to cover a distance of 900 km in 25 hours. What should be its average speed in meters/second?