Quantitative Aptitude - Arithmetic Ability Questions

What is the slope of the line perpendicular to the line passing through the points (8,­2) and (3,­1)?

If A : B = 3 : 4 and B : C = 6 : 5 then A : (A + C) is

If cosθ = x2-y2x2+y2, then the value of cotθ is

Simplify 576b3x2a4z3/36a3b2z

A businessman imported Laptops, worth Rs 210000, Mobile phones worth Rs 100000 and Television sets worth Rs 150000. He had to pay 10% duty on laptops, 8% on Phones and 5% on Television sets as a special case. How much total duty (in Rupees) he had to pay on all items as per above details?

A boy crosses a 300 metres wide road in 30 seconds. What is his speed (in km/hr)?

Ram and Rahim standing at a distance of 680m run towards each other at a speed of 8 m/sec and 9 m/sec respectively. After how long will they meet?

If the diameter of a hemisphere is 21 cm, then what is the volume (in cub.cm) of hemisphere?