Find the area of a quadrilateral whose diagonal is 10 cm. And the length of the length put on it is 6 cm and 5 cm respectively. 

The product of two numbers is 45 and their difference is 4. The sum of squares of the two numbers is

The ratio of milk and water in mixture of four containers are 5:3,2:1, 3:2 and 7:4 respectively. In which container is the quantity of milk, relative to water, minimum?

In a mixture of 25 liters, the ratio of acid to water is 4 : 1. Another 3 liters of water is added to the mixture. The ratio of acid to water in the new mixture is: 

A conical vessel whose internal radius is 12 cm and height 50 cm. is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-

If a=tanθ + 1 and b=sinθ+cosθ then find (b²-1)a=?

Two medians AD and BE of ∆ABC intersect G at right angle. If AD = 9 cm and BE = 6 cm, then the length of BD ( in cm ) is

An office opens at 10 am and closes at 5 pm. The lunch break is of 30 minutes. What is the ratio of lunch break and total office hours?