A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find M?

If the length of the side of an equilateral triangle is 8 cm, what is its area?

A cone of radius 3.5 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 7 cm. What will be the height of water in this vessel?

Find two numbers such that their mean proportion is 16 and third proportion is 1024.

If secA + tanA = x, then the value of x is

A bank offers 15% compound interest per half year. A customer deposits Rs 2400 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is

Two numbers are 35% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number? 

If the number 583_437 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be