Quantitative Aptitude - Arithmetic Ability Questions

If in a triangle ABC, Sin A = Cos B then the value of Cos C is

If x3 – 4x2 + 19 = 6(x – 1), then what is the value of [x2 + (1/x – 4)]?

If 5x - 4 ≤ 2 - x and 4x + 5 > 2x - 5, then x can take which of the following values?

Product of 6ab, 3b and 4a is

What is the value of (1 + cotA)2 + (1 -­ cotA)2?

If √(1 + cot2A)/cotA = x, then the value of x is

What is the value of (cot30°+ 2/√3) ?

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?