Quantitative Aptitude - Arithmetic Ability Questions

The mean of marks secured by 35 students in division A of class X is 65, 45 students of division B is 61 and that of 70 students of division C is 59. What is the mean of marks of the students of three divisions of Class X?

PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

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

If a3 + b3 + c3 - 3abc = 0, then the value of a2/bc + b2/ac - 3.

If x = a + 1a, y = a - 1a ,(a>0), then the value of x4+y4-2x2y2 is

The perimeter of two similar triangles ABC and PQR are 36 cms and 24 cms respectively. If PQ = 10 cm then the length of AB is

Volume of a cube is 512 cubic cm, find its total surface area? (Take π = 22/7)

A thief is stopped by a policeman from a distance of 350 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 police man as 12 km/h, how far the thief would have run, before he is over taken?