Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?

If 3 tan θ = cot θ where 0 < θ < π/2, then what is the value of θ ?

For the inequation x^2–7x + 12 > 0, which one of the following is correct ?

In Δ ABC, the median AD is 6 cm and CB is 12 cm, measure of angle CAB is

In Δ ABC, the median AD is 8 cm and CB is 16 cm, measure of angle CAB is_____ .

If  tan2A / (secA -­ 1)2 = x, then the value of x is

Rajesh buys a table of Rs 900 and sells it. Rajesh gives two successive discount of 10% and 20% to the customer. What will be the selling price (in Rs) of the table?

Gautam goes to office at a speed of 12 kmph and returns home at 10 kmph.His average speed is