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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 1st can = ¾
Milk 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







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