Quantitative Aptitude - Arithmetic Ability Questions

α and β are the roots of the quadratic equation x2 – x – 1 = 0. What is the value of α8 + β8?

If the length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively, then find its perimeter

Cost price of an article is Rs 360. If the profit percentage is 32%, then what is the value (in Rs) of profit?

a, b and c are 3 values, such that a + b = 5, b + c = 7.5 and c + a = 8.5. What will be the average of these values?

A solid cube is cut into 27 identical cubes. What is the percentage increase in the total surface area?

The difference between the place values of 9 and 5 in the number 428693745 is

Find the value of  x3 - y3, if x - y = 4 and xy = 12.

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 cm sq, what is the area (in sq cm) of quadrilateral BDEC?