Quantitative Aptitude - Arithmetic Ability Questions

If a + b = 4 and ab = -5, then what is the value of a3 + b3?

The sum of a number and 4 times its reciprocal is 5. What is the number?

A shopkeeper by selling 23 Lotto shoes, earns a profit equal to the selling price of 7 Lotto shoes. His profit percentage is

The rate of simple interest per annum at which a sum of money double itself in 16 2/3 yrs is

Mahesh buys 3 shirts at an average price of Rs 1250. If he buys 2 more shirts at an average price of Rs 1450 what will be the average price (in Rs) of all the 5 shirts he buys?

In a quadrilateral PQRS, l_S= 90°. A circle (o, r) touches the sides PQ, QR, RS and SP at A, B, C and D respectively. If QR= 38 cm, RS = 25 cm and QA = 27 cm, find 'r'.

In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 1:3 and HF is 7.2 cm, find length of DF?

If a+1a2=3,then the value of a2+1a2 will be