Quantitative Aptitude - Arithmetic Ability Questions

If cosec∅+sin∅cosec∅-sin∅=53 then the value of sin∅is equal to

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

In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC respectively. EPF is a semicircle whose diameter is EF. LMNO is a square . What is the area (in sq.cm) of the shaded region?

A scored 72% in a paper with a maximum marks of 900 and 80% in another paper with a maximum marks of 700. If the result is based on the combined percentage of two papers, the combined percentage is

If 3a – (3/a) – 3 = 0, then what is the value of a3 – (1/a3) + 2?

A man goes to a place on bicycle at speed of 16 km/hr and comes back at lower speed . If the average speed is 6.4 km/hr in total , then the return speed (in km/hr) is

Two trains, one 150 m long and the other 130m long, coming from opposite directions crosssed each other in 7.2 seconds. The sum of speed of the two trains every hour would then be

A sells vegetables at a profit of 35% and for weighing uses a weight which is 10% less than the article weight. What is total profit percentage?