Quantitative Aptitude - Arithmetic Ability Questions

What is the difference of the factors of the expression x2 + (1/x2) – 6?

If a - b = 3 and a2+b2=25, then the value of ab is

To cover a certain distance with a speed of 60 km/hr, a train takes 15 hours. If it covers the same distance in 12 hours, what will be its speed?

If cosA/(1 - sinA) = x, then the value of x is

Coefficient of x2 in (x + 7)(5 - 3x)(3x - 6) is

If a + b = 10 and ab = 24, then the value of a3 + b3 is

The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?

On a ground , there is a vertical tower with a flagpole on its top . At a point 9 m away from the foot of the tower , the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively . The height of the flagpole is