Question
Sum of the present ages of A, B, C and D is 70 years.
After 5 years ratio of their ages is 5:4:3:3. What is C’s present age?Solution
At present sum of age = 70 years After 5 years sum of age will be, => 5x + 4x + 3x + 3x = 70 + 5 × 4 => 15x = 70 + 20 => x = 90/15 => x = 6 C’s present age = 3x – 5 = 13 years
The measure of an angle is one-third of its supplementary angle. Find its measure.
Inside a square land having perimeter equal to 120 metres, leaving aside a circular land of radius 14 metres, the remaining land needs to be levelled at...
Length and breadth of a rectangle are in the ratio 3:8. If the perimeter of the rectangle is 70 cm more than the breadth of the rectangle, then find the...
A cube of side 14 cm is immersed completely in a cylindrical vessel of radius 10 cm. What will be the rise in the water level in the vessel due to the i...
A rectangular park is 50 m long and 40 m wide. A path of uniform width is built inside the park along the boundary. The area of the path is 344 m². Fin...
The sum of the perimeters of a square and a rectangle is 120 metres. If the sum of the length and breadth of the rectangle is 30 m, then find the area o...
- The perimeter of a rectangle is equal to that of a square. If the rectangle's length is 22 cm and its breadth is 13 cm, what is the circumference of a semi...
The radius of the base of a cone is 6 cm, and its slant height is 10 cm. What is the surface area of the cone?
The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are in ratio 13:10, respectively. If the area of the rec...
- A metal sphere with radius 17.5 cm is melted and molded into small cuboids each of size 7 cm × 5 cm × 5 cm. Determine the number of cuboids formed.
