Quantitative Aptitude - Arithmetic Ability Questions

If 3x2 = 102 - 52, find the value of x?

The ratio of the heights of Nani and Leelu is 4 : 3. If Leelu is 1.2 m tall, then what is the height of Nani?

If 2 cos θ = 2 – sin θ, then what is the value of cos θ?

If a + b + c = 9 and ab + bc + ca = 18, then what is the value of a3 + b3 + c3 – 3abc?

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

If the value of 3-1.732, then calculate the value of 243-12108-147

What is the value of 5.6x0.36+0.42x3.20.8 x 2.1 ?

A thief is stopped by a policeman from a distance of 450 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 7 km/h and that of policeman as 12 km/h, how far the thief would have run, before he is over­ taken?