Question
In an exam, Rahul scored 50% marks and failed by 75
marks whereas Priya scored 70% marks in the same exam and scored 55 marks more than the passing marks. Find the maximum marks of the exam.Solution
ATQ; Let the maximum marks of the exam be ‘100x’ Marks scored by Rahul = 100x × 0.50 = ‘50x’ Marks scored by Priya = 100x × 0.70 = ‘70x’ According to question: 50x + 75 = 70x – 55 Or, 70x – 50x = 75 + 55 Or, 20x = 130 Or, x = 6.5 Therefore, maximum marks of the exam = 100x = 100 × 6.5 = 650
If the length of the diagonal of a square is 4.6 cm, then the area of the square is:
A solid right circular cylinder is melted and shaped into a right cone with a base of equal radius. By what percent is the length of the solid increased?
The length is decreased by 18%, the breadth is decreased by 12% and the height is increased by 50%. Calculate the percentage change in the volume of the...
An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠ CBD = 40°. Find the measure of ∠ ...
- The total surface area of a cylinder is 6,600 cm² and its radius is 25 cm. If the height is (k + 10), then calculate k². (Use π = 22/7)
The perimeter of a sector of a circle, whose radius is 17 cm, is 63 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector ...
Find the surface area of the smallest cube that can perfectly fit a sphere of volume 972Ï€ cm3 inside it. Â
A well with 20 m inside diameter is dug 10 m deep. Soil taken out of it has been evenly spread all around it to a width of 30 m to form an embankment. F...
If the diameter of a solid hemisphere is 12 cm, then its volume is taken π =22/7
Relevant for Exams:
