Question
300 ml of mixture contains milk and water in the ratio
of 14:x respectively. If 40 ml of water and 50 ml of milk is added into it then ratio of milk to water in the resulting mixture will be 2:1. Find the value of ‘x’. STSolution
Quantity of milk in 300 ml of mixture = 300 × 14/(14 + x) Quantity of water in 300 ml of mixture = 300 × x/(x + 14) According to question; {4200/(14 + x) + 50}/{300x/(x + 14) + 40} = 2/1 Or, 4200/(14 + x) + 50 = 600x/(x + 14) + 80 Or, (4200 – 600x)/(x + 14) = 30 Or, 4200 – 600x = 30x + 420 Or, 630x = 3780 Or, x = 6
Find the radius of the sphere whose volume is 562.5π cm3
What will be inradius of a right angle triangle whose base is 11 cm & height is 60 cm ?

The lengths of three medians in a triangles are 15 cm, 20 cm, 25 cm. What is the area of that traingle (in cm 2 )?
If the volume of a cube is 64cm³, then the diagonal of cube is
In a triangle ABC, AB = 13 cm, BC = 14 cm, and AC = 15 cm. Find the area of the triangle and the length of the altitude from vertex A to side BC.
If I is the incentre of ΔABC , if ∠ BAC = 450 , then what is the measure of ∠ BIC?
In the figure given below, AC = 16 cm and BF = 5 cm. If AE:CE = 5:3, then find the perimeter of ΔABC.
If I is the incentre of ΔABC , if ∠ BAC = 700 , then what is the measure of ∠ BIC?
In a circle, the chord AB is 12 cm, and the perpendicular from the center O to the chord AB bisects it at point P. If OP = 5 cm, what is the radius of t...