Question
A mixture contains alcohol and water in ratio 5:3. If 16
liters of mixture is removed and replaced with water, the new ratio becomes 1:1. Find the initial quantity of mixture.Solution
ATQ,
Let total = T Alcohol = 5T/8 Water = 3T/8 Removed 16 liters → alcohol removed = 5/8 × 16 = 10 water removed = 6 New alcohol = 5T/8 – 10 New water = 3T/8 – 6 + 16 Given: (5T/8 – 10) = (3T/8 + 10) Solve: 5T – 80 = 3T + 80 2T = 160 T = 80 liters
ABCD is a square. P, Q, R and S are points on the sides AB, BC, CD and DA respectively such that AP = BQ = CR = DS. Angle SPQ equal to ?
In ∆ABC , G is the centroid , AB = 18 cm, BC= 24 cm and AC = 30 cm , find GD, where D is the mid-point of BC?
Given are three points A(2, 7), B(4, -1), C(- 2, 6) on a plane. What kind of triangle is formed by joining the points A, B, and C?
In ∆ABC , G is the centroid , AB = 20 cm, BC= 24 cm and AC = 28 cm , find GD, where D is the mid-point of BC?
The length of the each side of an equilateral triangle is 28 cm. The area of incircle, (cm 2 ) is
The area of an equilateral triangle is 16√3 sq m. Its perimeter isÂ
In the given figure PQRS is a square and OQR is an equilateral triangle, then find angle POS?
In a parallelogram, two adjacent angles are (3x + 10)° and (x + 30)°. Find the larger angle.
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 )?
