10 Mixture Allegation math problems questions with explanations

Dear Readers, 10 Mixture Allegation math problems questions with solutions was given here. Aspirants those Who are preparing for the exam. can use this.

Quantitative Aptitude : 10 Mixture Allegation math problems questions –Set 2

• 1)60 litres of mixture of milk and water contains 12 litres of more milk than water. 10 Litres water is added to it . The ratio of milk to water in the new mixture is
A)18:17
B)15:19
C)21:29
D)31:39
E)25:30

• 2)There are two vessels A & B . Vessel A contains 60 litres of pure milk and vessel B contains 28 litres of pure water .From vessel A, 12 litres of milk is taken out and poured into vessel B. Then 8 litres of mixture (milk and water) is taken out from vessel B and poured into vessel A. What is the ratio of the quantity of pure milk in vessel A to that of pure water in vessel B ?
A)21 :11
B)4:7
C)9:4
D)5 :9
E)7:9

• 3)In a 72 litres mixture of milk and water, water is only 20 % .The milkman gave 9 litres of mixture to a customer and he added 17 litres of water to the remaining mixture. What is the Percentage of milk in the new mixture ?
A)59
B)67
C)58
D)61
E)63

• 4)In jar A, 140 litres of milk was mixed with 25 litres of water. Some of this mixture was taken out from jar A and put into Jar B . When 16 litres of milk was added to jar B, the resultant ratio of milk to water in Jar B was 21 :2 What was the amount of mixture was taken out from jar A ?
A)23.12 litres
B)27 litres
C)21.55 litres
D)37.55 litre
E)32 litre

• 5)Milk and water are mixed in vessel A in the proportion of 5:2 and in vessel B in the proportion 8:5 . In what proportion should the quantities be taken out of these two vessels to form a new mixture so that the proportion of milk to water becomes 9:4 ?
A)2:5
B)7:2
C)8:3
D)7:5
E)8:2

• 6)A container had 60 litres of milk. From this container , 6 litres of milk was taken out and replaced by water. This process was replaced once again . How much milk is now here in the container ?
A)58.9 litre
B)62.7 litre
C)48.6 litre
D)70.5 litre
E)82.3 litre

• 7)Jar A had 60 litres of a mixture of milk and water in the ratio of 2:1 . Jar B, which had 40 litres of mixture of milk and water, was emptied into jar A. As a result in Jar A,the ratio of the milk to water became 13 :7 . what was the quantity of water in jar B ?
A)8 litres
B)15 litres
C)22 litres
D)7 litres
E)1 litres

• 8)The milk and water in two vessels A & B are in the ratio of 4:3 and 2:3 respectively . In what ratio should the liquids in both the vessels be mixed to obtain a new mixture in vessel C consisting of half milk and half water ?
A)8:3
B)7:5
C)4:3
D)2:3
E)3:5

• 9)There are two vessels A and B vessel A contains 80 litres of pure milk and vessel B contains 44 titres of pure water . From vessel A, 16 litres of milk is taken out and poured into vessel B. Then 10 litres of the mixture from vessel B is taken out and poured into vessel A. What is the ratio of the quantity of pure milk in vessel A to the quantity of pure water in vessel B ?
A)20 :11
B)13 :20
C)17 :20
D)20 :17
E)11:20

• 10)In a 40 litre pot, milk and water in the ratio of 3:7 . Another pot has milk and water in the ratio of 4 : 1 . How many litres of the second variety of milk must be poured into 40 litres of the first variety of milk so that the new mixture has milk and water in the ratio of 2 :3 ?
A)11.75 litre
B)12.5 litre
C)10 litre
D)14 litres
E)13.25 litre

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10 Mixture Allegation math problems questions : Answers
1.A)
In mixture,
milk = (60+12)/2=36 lit
water=(60-12)/2=24 lit
Required ratio =36 : (24+10)=36:34=18:17

2.C)
After first operation ,
Milk in vessel A= 60-12=48 litres
Mixture in vessel B= 28 +12=40 litres
Ratio of water : Milk in vessel B is =28:12=7:3
After second operation,
When 8 litre of the mixture taken from vessel B,
Water is taken 8*(7/10)=56/10=28/5
Milk is taken 8*(3/10)=24/10=12/5
Milk in vessel A=48+(12/5)=252/5 litres
Water in vessel B = 28-(28/5)=112/5 litres
Required ratio = 252/5 : 112/5 =63 : 28 =9:4

3.E)
In 72 litre mixture ratio of milk and water is 80:20=4:1
So milk is 72*(4/5) & water is 72* (1/5)
In 9 litres mixture .
Milk is 9*(4/5) & water is 9*(1/5)
So New mixture will be 72-9+17=80 litre
In new mixture milk will be = 72 *(4/5) -9*(4/5)=63*(4/5)
Required % = (63 *4/5*100)/80=63 %

4.C)
Ratio of milk to water in jar A =140 : 25 =28 :5
The quantity of mixture taken out from Jar A = X litre
Then, the quantity of milk = (28X/33) & water =(5X/33)
Now in jar B
{(28X/33)+16}/ (5X/33)=21/2
X=21.55 litre

5.B)
Apply alligation method

6.C)
Required result = 60 * {(60-6)(60-6)}/(60 *60)=48.6 litre

7.B)
In jar A , Milk is 40 & water is 20 litre
In jar B, Let water X & milk is 40-X
According to questions,
(40 +40-X)/(20+X)=13/7
X=15 litres
Hence Jar B has the 16 litre water.

8.B)
Apply alligation method

9.A)
After first operation,
In A contain 80-16=64 litre milk and B contain 44+16=60 litre mixture
10 litres of the mixture is taken out from vessel B
Then, in 10 litres mixture milk contained= 10 *16/60= 8/3 litre
In 10 litres mixture water contained =10 * 44/60=22/3 litre
Pure milk in vessel A = 64 +8/3=200/3 litre
Pure water in vessel B = 44- 22/3= 110/3 litre
So ratio of pure milk in vessel A to pure water in vessel B = 200 :110=20 : 11

10.C)in 40 litres mixture the amount of milk = 40 *3/10=12 litre
And water =40 * 7/10= 28 litre
Let 5X litres mixture from second pot be poured into the first pot.
In 5X litres, milk is 4X & water is X litre
According to question,
(12+4X)/(28+X)=2/3
X=2
Required amount of the mixture =5*2=10 litre

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