Quantitative Aptitude - Arithmetic Ability Questions

The cube of 997 is

A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. If the annual interest is Rs. 352. The sum lent at 8% is

In a test, Charan secured 54 marks that was also equivalent to obtaining 72% marks. How many marks was the test out of?

Which of the following quadratic equations has real roots?

Point P (-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?

What is the value of Cot 45° - (1/√3)Cosec 60°?

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?

If x + y = 3, then what is the value of x3 + y3 + 9xy?