Quantitative Aptitude - Arithmetic Ability Questions

If a - b = 2 and ab = 15, then what is the value of a3- b3?

PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

If A, B and C are denoting Mean, Median and Mode of a data and A : B = 9 : 8. Then the ratio of B : C is

The value of 16 - [5 - 2{14 of 2 - (8 ÷ 4 x 2 - 1 + 3}] is

Simplify 0.1x0.1x0.1 + 0.3x0.3x0.30.3x0.3 - 0.3x0.1 + 0.1x0.1

A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?

The average weight of 25 candles is 40 grams. If some candles of weight 50 grams each were removed, then average weight becomes 37.5 grams. How many candles of weight 50 grams each were removed? 

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