Quantitative Aptitude - Arithmetic Ability Questions

If a and b are the roots of the equation Px2 – Qx + R = 0, then what is the value of (1/a2) + (1/b2) + (a/b) + (b/a)?

In the following question, select the odd word from the given alternatives.

The third proportional of two numbers 4 and 20 is

Sum of three consecutive integers is 51 . The middle one is:

An equilateral triangle ABC is inscribed in a circle of radius 20√3.
What is the length of the side of the triangle?

In ∆ABC two medians BE and CF intersects at the point O and P,Q are the midpoints of BO and CO respectively. If the length of PQ=3cm, then the length of FE will be

(242699 + 167109) ÷ (9946 –9446) = ?

An electric pump can fill a tank in 2 hours. Because of a leak in the tank, it was taking 21⁄2 hours to fill the tank. The leak can drain all the water off the tank in how many hours?