# Mixture and Allegation Exam Quiz

**1. A can contains a mixture of two liquids A and B in the ratio 7:5 when 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially?**

A.28 litres

B.21 litres

C.45 litres

D.36 litres

**2.A man travelled a distance of 90Km in 9 hours partly on foot at 8 kmph and partly on bicycle at 17 kmph. Find the distance travelled on foot.**

A.46 km

B.56 km

C.62 km

D.52 km

**3.A milk vendor has 2 cans of milk .The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the container so as to get 12 litres of milk such that the ratio of water to milk is 3:5?**

A.6 litres

B.1 litres

C.8 litres

D.7 litres

**4. In what ratio must a person mix three kinds of wheat costing him Rs 1.20,Rs 1.44 and Rs 1.74 per Kg so that the mixture may be worth Rs 1.41 per Kg?**

A.11:77:7

B.25:45:8

C.27:23:6

D.11:45:7

**5.A painter mixes blue paint with white paint so that the mixture contains 10% blue paint.In a mixture of 40 litres paint how many litres blue paint should be added so that the mixture contains 20% of blue paint.**

A. 2.5 litres

B. 4litres

C. 5litres

D.2 litres

Answers

1. (B) Let initially contained 7x & 5x

So,

(7x-9/12*7)/(5x-9/12*5+9)=7/9

(12x-9)/(60x+63)=1/9

x=3

Required Quantity = 7x = 7*3=21 litres

2. (B) Average Speed = 90/9=10kmph

So,

By Rule of Allegations

Required Distance = 7*8=56 km

3. (A) Milk in 1

^{st}can = ¾Milk in IInd can = ½

Milk in Resultant mixture = 5/8

So,

1 + 1 = 12

2 = 12

1 = 6 liter

4. (A) In first case, We take 1. 20, 1.44 & 1. 41

So,

1:7

In second case, We take 1.20, 1. 74 & 1. 41

so,

11 : 7

Since I : II = 1.7

I : III = 11 : 7

So, I : II : III = 11 : 77 : 7

5. (C) Percentage of blue point, in pure Blue point =100%

So,

8 : 1

Since 8 = 40

1 = 5 liters