Quantitative Aptitude - Arithmetic Ability Questions

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

What is the value of tan 4π/3?

Find the value of 62532+18

The difference between the ages of two sisters is 4 years when father's age is 54. Father is elder by 2 years to mother . Younger sister's age is half of mother's age. Find the age of elder sister.

The cube of 997 is

A sells vegetables at a profit of 35% and for weighing uses a weight which is 10% less than the article weight. What is total profit percentage?

Two trains, one 150 m long and the other 130m long, coming from opposite directions crosssed each other in 7.2 seconds. The sum of speed of the two trains every hour would then be