Simplify $$ ({Sinθ\over{1+cosθ}}+{1+cosθ\over sinθ})({1\over (tanθ+cotθ)})$$

A pipe can fill a tank in x hours and an another can empty it in y hours. In how many hours will they together fill it. If y>x?

If the present worth of a certain sum due 2 years hence at 10% per annum at a compound interest principal is Rs. 2500, find the amount.

Three different containers contain 130 liter, 442 liter and 234 liter of milk, respectively. What biggest measure can be used to measure all the containers exactly?

Direction : The table given below represents number of bikes of five different brands sold from 2001- 2005, with the help of data given in the table, answer the following questions.

The sales of Yamaha increased from 2001 to 2005 by what percentage?

The adjacent angles on a straight line are in the ratio 5 ∶ 4, then the smaller angle is –

Directions : A bar graph showing the heights of six mountain peaks is given below. Study the bar graph and answer the questions. 

When the heights of the given peaks are written in ascending order, what is the average of the middle two peaks? 

The average score of top 6 batsmen of Indian cricket team in a match is 46. If the 7th batsman is included, the average becomes 50. If the 8 batsman comes and scores 34 runs, then find the ratio of the average scores of top 6 and top 8 batsmen.