Quantitative Aptitude - Arithmetic Ability Questions

If a - b = 1 and ab = 6, then what is the value of a3- b3?

A line passing through the origin perpendicularly cuts the line 2x + 3y = 6 at point M. Find M?

What number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in continued proportion?

If 7x - [3(2x - 3)]/2 = 1/2, then what is the value of x?

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

3 hrs after a goods train passed a station, another train travelling at a speed of 88 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?

The ratio of the amount of work done by (x-1) labours in (x+1) days and that done by (x+1) labours in (x+2) days is 5 : 6. Then the value of x is

Average of the height of 251 students of a school is 48. If the average of the height of the boys is 51 and the average of the height of the girls is 29, then what will be the ratio of the total height of boys and the total height of girls respectively?