Question
In an examination, the number of those who have passed
and the number of those who failed were in the ratio of 40 : 7. If 7 more had appeared and the number of failures was 8 less than earlier, the ratio of passers to failures would have been 35 : 4. Then find the original total number of students who appeared at the examination.Solution
Let number of passed students = 40x & that of failure students = 7x So total number of students = 40x+7x = 47x After admitting 7 more students, Total Students appeared = 47x+7 New Failure students = 7x-8 then new passed students = 47x+7 - (7x-8) = 40x+15 So ratio of new passed to new failure students = (40x+15) /(7x-8) = 35/4 160x + 60 = 245x - 280 85x = 340 x = 4 Total students appeared in the exam was = 47 × 4 = 188
- If the edge of the cube is increased by 100%, then find the percentage increase in the volume of the cube.
Four cubes, each having a side of 6 cm, are placed next to each other in a straight line. What will be the total surface area of the resulting cuboid?
If the area of square is 441 cm² and the breadth of rectangle is 20% more and the length is 50% more than the side of the square, then find the the a...
An edge of a variable cube is increasing at the rate of 2 cm/s. How fast is the volume of the cube increasing when the edge is 12 cm long?
A can do a certain work in 12 days, B alone can do the same work in 16 days. A and B undertook to complete it in Rs. 8000. With the help of C, they comp...
If tan θ + cot θ = 5, then the value of tan2 θ + cot2 θ + 2tan2 60° is:
The perimeter of a square and a rectangle is in the ratio of 16:15. The square has an area of 256 cm², and the length of the rectangle is 12.5% greater...
The sum of the perimeters of a square and a rectangle is 132 metres. If the sum of the length and breadth of the rectangle is 34 cm, then find the area ...
The breadth of a rectangle is increased by 10 cm, it will become twice the length of the rectangle. If the new perimeter is 360 cm, then find the origin...
Few people dive in a swimming pool of dimensions 25 × 15m. Due to this the water level rises by 4m. If one person displace 2 cubic metre of water. Find...
Relevant for Exams:
