Quantitative Aptitude - Arithmetic Ability Questions

The ratio of present ages of P and Q is 5 : 8. Three years later their ages will be in ratio 8 : 11. What is the present age (in years) of Q?

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

If x = 1.1, then what is the value of 4x2 -4x + 1 ?

What is the value of Tan 45° + 4/√3 Sec 60°?

If P = 99, then the value of P(P2+ 3P + 3) is

If 7x + 6y = 5xy and 10x ­- 4y = 4xy, then value of x and y is

If x = 1 + √2 + √3, then the value of x2-2x-4=0

The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower in meters is