Which of the following is largest fraction amongst , , ,  ?

If θθθθ then the value of Cotθ is

Two pipes P and Q can fill a cistern in 36 and 48 minutes respectively. Both pipes are opened together, after how many minutes should Q be turned off,so that the cistern be fill in 24 minutes?

Study the table and answer the questions and give answer the following questions.

In  which year , the difference between the highest and the average marks in maths was maximum?

Study the table and answer the questions and give answer the following questions.

Supposing that there were 40 students in sciences in the year 2009. How much total of marks did they receive combined together?

Study the table and answer the questions and give answer the following questions.

What is the overall average of marks in the four subjects in the year 2009?

The value of  is closed to

Simplify :