Quantitative Aptitude - Arithmetic Ability Questions

If x = 2 +√3, y = 2 – √3 and z = 1, then what is the value of (x/yz) + (y/xz) + (z/xy) + 2 [(1/x) + (1/y) + (1/z)]?

A man covered a certain distance by a train running at the speed of 50 km/hr and covers the same distance back by walking at the speed of 5 km/hr. Ifthe whole journey took 5 hours 30 minutes, then what was the distance (in km) of one side?

A non-zero number is greater than 7 times its reciprocal by 9.3. What is the number?

What is the quotient when 7251 is divided by 66?

The initial ratio of sugar to flour in a dough was 2 : 7. To 9 kg of the dough John added more sugar to make the sugar to flour ratio 2 : 5. How much sugar did John later add?

If X+Y=3,XY=2, find the value of X3-Y3

The mean of the 5 smallest numbers from a group is 15 while the mean of all the 13 members of the group taken together is 17. What is the mean of the 8 largest numbers?

What is the area (in sq cm) of a regular hexagon of side 9 cm?