Quantitative Aptitude - Arithmetic Ability Questions

The point of intersection of all the three medians of a triangle is called its

What will be the net discount (in %) of two successive discounts of 15% and 35%?

If a – (1/a) = b, b – (1/b) = c and c – (1/c) = a, then what is the value of (1/ab) + (1/bc) + (1/ca)?

The sum of the ages of Ram and Shyam is 49. The difference between the age of Shyam and twice the age of Ram is 8. What is the age (in years) of Ram?

A passenger train running at the speed of 80 kms/hr leaves the railway station 6 hours after a goods train leaves and overtakes it in 4 hours. What is the speed of the goods train?

A person crosses a 900 metres wide road in 120 seconds. What is his speed (in km/hr)?

What is the value of [1 – tan (90 – θ) + sec (90 – θ)]/[tan (90 – θ) + sec (90 – θ) + 1]?

If p/q = (x+3)/(x-3), then what is the value of p2+q2p2-q2 ?