Three pipes A, B can fill the tank in 12, 20 hrs respectively and C can empty the tank in 30 hours. If the pipes are opened alternatively for 1 hour starting with A and drain pipe is kept open all the time. How much time will it take to fill the tank.

$$ 11^{2}-4096^{1\over 4}+100^{1\over2}=?$$

If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is

The average of four consecutive even numbers is 9. Find the largest number. 

The area of a right-angled isosceles triangle having hypotenuse 16√2 cm is

what is the value of the expression
 cos 2A cos2B+sin²(A-B)-sin²(A+B)?

Directions: Read the pie chart carefully and answer the following questions.

Note: No new employees joined the given banks of left the given banks from January 2015 to December 2015.

In January 2015, the number of male Scale I Officers in Bank B was three times the number of female Scale I Officers in the same bank. If in Bank D, the number of female Scale I Officers was the same as that in bank B; what was the number of male Scale I Officers in Bank D?

The ratio of the outer and the inner perimeter of a circular path is 23 : 22, if the path is 5 meter wide the diameter of the inner circle is?