Quantitative Aptitude - Arithmetic Ability Questions

If  tan2θ + cot2θ = 2, then what is the value of 2sec θ cosec θ?

In which of the following quadrilaterals both pairs of opposite sides are parallel?

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-third as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is ?

If the selling price of an item is Rs 1000 after getting a discount of 20%, then what was the marked price (in Rs)?

After two successive discounts of 20% and 35%, an article is sold for Rs 50700. What is the marked price (in Rs) of the article?

If 3x + 4y – 2z + 9 = 17, 7x + 2y + 11z + 8 = 23 and 5x + 9y + 6z – 4 = 18, then what is the value of x + y + z – 34?

If cot(A/2) = x, then the value of x is

S and T can finish a work in 50 days. They worked together for 20 days and then left. How much of the work is left?