Quantitative Aptitude - Arithmetic Ability Questions

Determine the value of a2+b2a3+b3 when a = 2+√3 and b = 2-√3.

If x/y = 2/3, then what is the ratio of (3x + 2y) and (3x – y)?

The value of  (0.3)2/100=?

What is the slope of the line, perpendicular to the line 3x - 6y = 4?

What is the compound interest earned on Rs 80,000 at 40% per annum in 1 year compounded quarterly?

What is the simplified value of cosec6A – cot6A – 3 cosec2A cot2A?

If 3 tan θ = cot θ where 0 < θ < π/2, then what is the value of θ ?

Rohan sells two articles. The cost price of the first article is equal to the selling price of the second article. The first article is sold at a profit of 40% and the second article is sold at a loss of 40%. What is the ratio of the selling price of the first article to the cost price of the second article?