Quantitative Aptitude - Arithmetic Ability Questions

If x = y + 2 then x3 - y3 - z3 is

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

The points A(3,­-2), B(1,4) and C(­-2,x) are collinear. What is the value of x?

In ΔABC, the angle bisector of ∠A cuts BC at E. Find the length of AC if lengths of AB, BE and EC are 9.6 cm, 4 cm and 3 cm?

What is the average of all natural numbers from 21 to 39?

Solve 675.9995+(3.9989)2 = ? ÷ 16.9900865

The 5th and 9th term of an arithmetic progression are 7 and 13 respectively. What is the 15th term?

In the first 40 overs of a 50 over innings, the run rate was 4.8 runs/over. What is the required run rate in the remaining 10 overs to reach the target of 241 runs?