Quantitative Aptitude - Arithmetic Ability Questions

The area of an equilateral triangle is 9√3 sq cm, find its perimeter?

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

If x = (√2 + 1)/(√2 – 1), then what is the value of (x5 + x4 + x2 + x)/x3 ?

Calculate the area (in cm2 ) of a circle of radius 10.5 cm.

Speed of a boat along and against the current are 14 kms/hr and 8 kms/hr respectively. The speed of the current is

If(x + y)2 = xy + 1 and x3 – y3 = 1, then what is the value of x – y?

Vinay professes to lose 4% on sugar and uses a weight of 620 gm instead of 1 kg. What is the total profit percentage?

The ratio of present ages of Ramya and Saurabh is 8:7. After 10 years the ratio of their ages will be 12:11. What is Ramya's present age?