Quantitative Aptitude - Arithmetic Ability Questions

The lengths of the two diagonals of a rhombus are 5 cm and 12 cm. Find its area (in cm2)

The selling price of an article is 8/5th of its cost price. Then the gain percentage 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?

The value of (1 - √2) + (√2 - √3) + (√3 - √4) + ..... + (√15 - √16) is

Cost of 4 pens, 6 note books and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files?

Given: 6x + 2(6-x) > 2x -2 < 5x/2 - 3x/4; then x can take which of the following values?

What is the third proportional to 10 and 20?

What is the equation of the line whose y­-intercept is ­3/4 and making an angle of 45° with the positive x-­axis?