The radii of two right circular cylinders are in the ratio 3:2 and the ratio of their volumes is 27: 16. What is the ratio of their heights?

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 2x³ = $$ \sqrt {256}$$
 (ii) 2y² – 9y + 10 = 0

√60+√10+√36=?

The perimeter of a square with diagonal 29√2 cm is equal to the perimeter of a rectangle. Find the area of the rectangle if the length of the rectangle is 8 cm more than the breadth of the rectangle?

The base of a right pyramid is an equilateral triangle with side 8 cm, and its height is 30 √3 cm. The volume (in cm3) of the pyramid is:

If the 8 digit number 789x531y is divisible by 72, then the value of (5x - 3y) will be?

Directions : A bar graph showing the heights of six mountain peaks is given below. Study the bar graph and answer the questions. 

The average height of all the peaks (in metre) is 

The acid and water in two vessels A and B are in the ratio 4:3 and 2:3. In what ratio should the liquid in both the vessels be mixed to obtain a new mixture in vessel C containing half acid and half water?