Mixture and Alligation Questions -

In a mixture of milk and water of the volume of 80 liter the ratio of milk to water is 3: 2. How much quantity of water will be added to make mixture is equal ?
16

15

12

18

20

Option A
Quantity of milk in the mixture = 80 * 3/5 = 48
and water = 80 * 2/5 = 32
let “x” liter of water to be added,
48 = 32 + x
x = 16
In what ratio must rice at rs.60 per kg be mixed with rice of rs.74 per kg, so that the mixture must be worth rs.64 per kg ?
2 : 1

2 : 5

4 : 3

2 : 1

5 : 2

Option E
By using alligetion method,
60 74
64
10 4
ratio = 5 : 2
A vessels contains 80 liters of wine, 20 liters are taken out from vessel is replaced by water and the same process is further replaced two times, then find the quantity of wine left in final solution ?
12.45 liter

30.60 liter

33.75 liter

40.85 liter

52.85 liter

Option C
Using the formula, wine left over = x ( x – y/x)^n
= 80 ( 80 – 20/80 )^3
= 80 ( 3/4)^3 = 80 * 27/64 = 33.75 liter
Two alloy A and B are made of copper and zinc in the ratio of 4 : 1 and 4 : 3 respectively. If these two alloys are to be mixed to form a new alloy in which same elements are in the ratio 2 : 1, then what is ratio of alloy A and alloy B in the new alloy ?
2 : 3

4 ; 5

3 : 2

5 : 7

3 : 4

Option D
By using formula
4/5 4/7
2/3
2/21 2/15
ratio = 5 : 7
In a mixture of wine and water is in the ratio of 5 : 3. If 16 liters of mixtures taken out and replaced with water, so that the ratio of wine and water becomes 3 : 5. Find the initial quantity of wine in the mixture.
24

28

24

25

12

Option D
Let quantity of wine and water in the mixture is 5x and 3x respectively.
(5x – 16 * 5/8)/(3x – 16 * 3/8 + 16) = 3/5
5x – 10/3x – 6 + 16 = 3/5
5x – 10/3x + 10 = 3/5
25x – 50 = 9x + 30
16x = 80
x = 5
quantity of wine in the initial mixture = 5 * 5 = 25 liter
A vessels contains mixture in which 20% water and rest quantity is milk. If 28 liter of more water is to be added in the vessel , then quantity of water becomes 3/8th of mixture. What is the quantity of milk in the vessel initially ?
80 liters

65 liters

42 liters

68 liters

78 liters

Option A
Quantity of water = 20%
quantity of milk = 80%
ratio = 80 : 20 = 4 : 1
let quantity of milk and water in the vessel is 4x and x respectively.
28 liter of water is to be added,
4x /x + 28 = 5 / 3
12x = 5x + 140
7x = 140
x = 20
quantity of milk = 4 * 20 = 80 liters
Two mixtures A and B in the ratio of juice and water are 3 : 1 and 1 : 2 respectively, mixed in the ratio of 2 : 3. If the juice in final mixture is 48 liter, then find the quantity of water in final mixture ?
252

250

144

245

320

Option A
By using alligation,
3/4 1/3
2/5
1/15 7/20
ratio = 4 : 21
quantity water = 48/4 * 21 = 252 liters
A seller mixed sugar cost rs.45 per kg with sugar cost rs. 38 per kg. These mixture he sold at rs.48 per kg so that he can earn 20% profit. Find in what ratio he mixed the two types of sugar ?
4 : 3

6 : 7

2 : 5

1 : 2

2 : 3

Option C
SP of mixed sugar = 48
CP of mixed sugar = 48/6 * 5 = 40
using alligetion method,
45 38
40
2 5
ratio = 2 : 5
A container contains 60 liters of milk 6 liters of milk taken out from this container and replaced by water. This process was replaced further two times. How much amount of milk left in the container ?
38.28 liters

43.74 liters

24.63 liters

52.68 liters

42 liters

Option B
Using formula,
x (x – y/x)^n
= 60 ( 60 – 6/ 60) ^3
= 60 ( 54/60)^3
= 60 * 729/1000 = 43.74 liters
The ratio of quantity of two varieties of rice of 3 : 2 is mixed. If the of variety of more quantity rice is rs. 15 and the price of the mixture is. rs.16.2 per kg, then find the price of per kg rice which is the less quantity.
14

18

17

20

32

Option B
Let the price of less quantity rice = x
= (15 * 3 + x * 2)/ 3 + 2 = 16.2
45 + 2x = 81
2x = 81 – 45
x = 18

Quantitative Aptitude: Mixture and Alligation Set 17

In a mixture of milk and water of the volume of 80 liter the ratio of milk to water is ...

Quantitative Aptitude: Mixture and Alligation Set 16

In what ratio must tea at rs.36 per kg be mixed with tea at rs.40 per kg so that the ...

Quantitative Aptitude: Mixture and Alligation Set 15

A mixture contains milk and water in the ratio of 9 : 5. 14 liters of mixture is replaced by ...

Quantitative Aptitude: Mixture and Alligation Questions Set 14

A vessel contains 192 litres of milk.A vendor draws out x% of milk and replaced it with same quantity of ...

Quantitative Aptitude: Mixture and Alligation Questions Set 13

A container contains 192 lites of juice.A seller draws out x % of jiuice and replaced it with same quantity ...

Quantitative Aptitude: Mixture and Alligation Questions Set 12

A sum of Rs 118 was shared among 50 males and females ,each female receive Rs 2.60 and male receives ...

Quantitative Aptitude: Mixture and Alligation Questions Set 11

Varsha covered 180 km distance in 10 hours. The first part of his journey she covered by bike, then he ...

Quantitative Aptitude: Mixture and Alligation Questions Set 10

Mixture and Alligation Questions for IBPS RRB, SBI PO, IBPS PO/Clerk, RBI, UICC, OICL, BOI, Bank of Baroda and other ...

Quantitative Aptitude: Mixture and Alligation Questions Set 9

Mixture and Alligation concept Aptitude Question Shortcut Tricks for NICL, IBPS RRB. SBI PO, IBPS PO, RBI Grade B, Dena ...

Quantitative Aptitude: Mixture and Alligation Questions Set 8

Mixture and Alligation Questions for NICL, SBI PO, IBPS PO, NIACL, LIC, Dena Bank PO PGDBF, BOI, Bank of Baroda ...

Quantitative Aptitude: Mixture and Alligation Questions Set 7

A shopkeeper sells two types of books national books and international books .He sells national books at Rs. 18 / ...

Quantitative Aptitude: Mixture and Alligation Questions Set 6

Mixture and Alligation Shortcut Tricks for NICL, IBPS RRB. SBI PO, IBPS PO, RBI Grade B, Dena Bank PO PGDBF, ...

Quantitative Aptitude: Mixture and Alligation Questions Set 5

Mixture and Alligation concept Aptitude Question Shortcut Tricks for NICL, IBPS RRB. SBI PO, IBPS PO, RBI Grade B, Dena ...

Quantitative Aptitude: Mixture and Alligation Questions Set 3

Mixture Alligation Questions NIACL. SBI PO, IBPS PO, NICL, RBI Grade B, Dena Bank PO PGDBF, BOI, Bank of Baroda ...

Quantitative Aptitude: Mixture and Alligation Set 2

Mixture and Alligation Questions for Banking and Insurance Exams. A container contains some amount of milk. A milkman adds 200 ...

Quantitative Aptitude: Mixture and Alligation Set 1

Mixture and Alligation Questions for the upcoming exams like IBPS PO, SBI PO, IPPB, LIC, RBI, Manipal University Course exams ...