In the given figure, ABCD is a square inscribed in a circle of radius 4 cm. CD is produced till point E. From E a tangent is drawn to the circle at point B.  What is the length (in cm) of AE?

If an article is sold at 200 % profit then the ratio of its cost price to its selling price will be 

Simplify the following equation
$$ {\sqrt{(1-sin^{2}θ) ÷{(1-cos^{2}θ)}}}$$

A sum of money becomes 3 times in 12 years. In how many years it will become 5 times at the same rate of simple interest?

Directions: Study the following pie chart carefully and answer the questions given beside.
The following pie chart gives the information about breakup of six different categories of workers in a company.

One day, all the workers were present except 25 out of 102 of category E workers. Find the number of workers present on that day?

If the cost price of an article is 5/9 of its marked price and the profit is 20% then what is the discount percentage?

Find the mean proportional between 8 and 98. 

If the length of the diagonal of a square is $${ 10\sqrt{2}}$$ cm, then what will be the area of the square?