In a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of ∠D and ∠C, respectively. If ∠B = 82° and ∠DEC = 80°, then ∠A = ?

What will be the compound interest (compounded annually) of 3 years at the rate of 12.5 percent on an amount of Rs. 5120?

The angle of elevation of an aeroplane from a point on the ground is 60°. After flying for 15 second, the angle of elevation changes to 30°. If the Aeroplane is flying at a height of 4500 meter, then what is the speed (in m/s) of aeroplane?

Directions: The line graph shows the number of work visas issued by a country in each year from 2011 to 2016. Study the diagram and answer the following questions . 

Number of work visas issued in 2016 were lower than the previous year by ? 

If $$ {x^4}+{1\over{x^4}}$$ then find $$ {x^3}-{1\over{x^3}}=?$$

The diameter of two cones is the same. If the ratio of their slant height is 5 : 4, then find the ratio of their areas. 

The length, breadth and height of a room are in the ratio 7:3:1. If the breadth and height are doubled while the length is halved, then by what percent the total area of the 4 walls of the room will be increased?

The average monthly expenditure of a family for the first four months is ₹ 2570, for the next three months ₹ 2490 and for the last five months ₹3030. If the family saves ₹ 5320 during the whole year, the average monthly income of the family during the year is-