The ratio between the volume (cm³) of a cylinder and the curved surface area (cm²) is numerically 14: 1. If the height of the cylinder is 50 cm, what is the volume of the cylinder (cm³) ?

The difference between the compound interest and simple interest on a certain sum at the rate of 5% p.a in 3 years is Rs. 15.25. The sum is:

Directions: Study the following table carefully to answer the questions that follow .
Number of soldiers ( in thousands ) joining five different forces during six different.

What was the average number of soldiers joining all the forces together in the year 2007? 

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.
(A) x>y
(B) x≥y
(C) x˂y
(D) x≤y
(E) x=y or the relations ship cannot be established

I. $$ {4x^2-4x-3=0}$$
II. $$ {4y^2+12y+5=0}$$

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. 

A family has two grandparents, two parents and four children. Two years ago, the average age of grandparents was 72 years. A year ago, the average age of parents was 36 years. Currently, the average age of children is 12 years. What is the current average age of the family?

The ratio of number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1 ?

Mr. Rajesh invested Rs.25000 in two fixed deposits X and Y offering compound interest at 6% per annum and 8% per annum, respectively. If the total amount of interest accrued in two years through both fixed deposits is Rs.3518, then the amount invested in scheme X is -