Question
Quantity I: A vessel contains a mixture of milk and
water in the ratio of 7 : 5. If 9 litre of mixture is sold and replaced by same amount of water then the new mixture contain milk and water in the ratio 7 : 9. Find initial amount of water? Quantity II: A vessel is full of 63 litre of milk. If 9 litre of milk is taken out and replace by water. Further 7 litre of mixture is taken out and replace again with water then find the amount of water at the end? Each question given below contains a statement followed by quantity I and quantity II. Find both to find the relationship among them. Mark your answer according.Solution
\Quantity II: Final Quantity = 63 (1-9/63) (1-7/63) = 63 × 6/7 × 8/9 = 48 litre Water = 63 - 48 = 15 litre. Hence, Quantity I = Quantity II
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.