**Hello Dear Aspirants,**

**Mixture And Alligation Questions PDF Download**: In this article, we have given the Question and Answers for mixtures and allegations. The allegation is an important section of quantitative aptitude for various competitive exams. The allegation is the rule that enables us to find the ratio in which two or more ingredients are at the given price. Candidates who are preparing for the Competitive Examination like SBI, IBPS, SSC, Insurance, Railway, and others can download the Questions and Answer PDF & Make use of it.

## Mixture and Alligations Questions PDF for Bank

In quantitative aptitude, mixture and alligation are both methods used to solve problems involving the mixing of different substances.

**A mixture problem** involves mixing two or more substances together and determining certain properties of the resulting mixture, such as its price, weight, or concentration. These problems typically involve ratios and proportions and may require the use of algebraic equations to solve.

**Alligation is a method **used to solve mixture problems where the ratio of two ingredients is given. It states that, when two or more ingredients are mixed in a certain ratio and sold at a certain price, the ratio of the cost of the ingredients to the selling price is the same as the ratio of the quantity of ingredients. It is a method of finding the average of two or more given ratios.

**For example,** if you have two types of grain, one costing Rs 4 per kg and the other costing Rs 5 per kg, and you want to create a mixture of the two grains that costs 4.50 Rs per kg, you can use the method of alligation to determine the ratio of the two grains that you need to use to achieve this cost.

In summary, mixture problems can be solved by using ratios and proportions, while alligation is a specific method used to solve mixture problems where the ratio of two ingredients is given, it’s a method of finding the average of two or more given ratios.

This topic comes in various bank exams like SBI PO, SBI CLERK, IBPS PO, IBPS CLERK, IBPS RRB PO, IBPS RRB CLERK, and other bank exams. Mixture and Allegation is a tricky topic to understand. For better understanding, here we are providing mixture and alligation questions for bank exams. The candidates can utilize this free pdf to improve their knowledge in quants.

There is a chance to make mistakes in this concept. To avoid those, the candidates need to be strong in basic concepts. Here we are providing mixture and alligation questions free pdf to the candidates. From this free pdf, the candidates can improve their knowledge in basic concepts. Not only understanding the topic but also maintaining speed is the main concept to improve their scores in bank exams. The candidates can download this mixture and alligation questions free pdf to increase their scores in the bank exams.

**Mixture and Alligation Questions PDF (Overview)**

Description | Details |

Article Name | Mixture and Alligation Questions PDF |

Category | Study Material, Score Up PDF |

Covers | Quantitative Aptitude Mixture and Alligation PDF |

Total Questions | 50+ |

Useful For | Bank| Insurance| SSC| Railway & other Competitive Exams |

Language | English |

Format | |

Quality | Best |

Compiled By | Dream Big Institution Team |

**Mixture and Alligation Questions PDF For All Competitive Exams**

**Dream Big Institution Team** has started a New Innovative **Mixture and Alligation Score-Up PDF **which consists of 1000 Practice Questions with detailed solutions. Aspirants who are preparing for upcoming Bank, SSC, Insurance, Railway exams should practice **Mixture and Alligation**. So Download the **Mixture and Alligation questions PDF **for the 2021 exams make use of it. Kindly share this with all your friends.

**As soon as Possible **** More Exam Wise PDFs will be updated Soon…!!!** Stay Connected with Dream Big Institution.

** Mixture and Alligation Formula**

To solve any numerical ability question, candidates need to know a set of formulas for each topic which make solving the questions easier and time-saving. This, given below are a few formulas that will help candidates with the same and let them solve the mixture and allegation questions more conveniently:

- The basic formula which is used to find the ratio in which the ingredients are mixed is

It is also called the **rule of alligation** and can also be represented as

**Type of Mixtures and Alligations Questions**

In quantitative aptitude, there are several types of mixture and alligation problems that can be encountered:

**Mixture problems involving weight or volume:**These problems involve mixing two or more substances together and determining the weight or volume of one of the substances in the resulting mixture.**Mixture problems involving price:**These problems involve mixing two or more substances together and determining the cost of the resulting mixture or the cost of one of the substances in the mixture.**Alligation problems involving ratio:**These problems involve mixing two or more substances together in a certain ratio and determining the ratio of one of the substances in the mixture.**Alligation problems involving price:**These problems involve mixing two or more substances together in a certain ratio and determining the cost of one of the substances in the mixture.**Mixture and alligation problems involving time and distance:**These problems involve mixing the time or distance of two or more substances together and determining the time or distance of one of the substances in the resulting mixture.**Mixture and alligation problems involving work and wages**: These problems involve mixing work or wages of two or more substances together and determining the work or wages of one of the substances in the resulting mixture.

It’s important to note that the above examples are just a few of the types of mixture and alligation problems that can be encountered and there are many variations of these problems.

**Tips and Tricks To Solve ****Mixtures and Alligations**** Questions**

**Time management plays** a very important role in Government exams and candidates cannot afford to lose much time while solving any of the given questions. Thus, a few simple tricks and tips will also prove to be helpful for the candidates to solve the mixture allegation questions easily:

- The rule of alligation can also be used to solve questions based on
**partnerships, time and work and wages** - Read a question and try placing the values in the alligation rule mentioned above to solve the question
- Questions from this topic may sound a bit tricky but are easy to solve if once a candidate get familiar with the concept and the important formulas used
- You cannot just find the ratio between the quantity of two elements but also the rate at which the article can be sold using the alligation rule

## Mixture and Alligation Question asked in Previous Year Exam (Sample Question)

**Q.1 A jar had 330-liter mixture of Milk and water in the respective ratio of 2 : 1.60 liters of this mixture is taken out and ‘x’ liter each of milk and water is added to the jar (remaining mixture). The respective ratio between milk and water was 8 :5 respectively. What was the total quantity of both milk and water added to the jar?**

a) 90 liter

b) 170 liter

c) 160 liter

d) 120 liter

**Answer: d**

**Solution:**

Given

Total mixture = 330 liter

Ratio of milk and water = 2 : 1

Calculation

Mixture left in jar after 60 liters taken out = 330 – 60 = 270 liters

Milk = (2/3) × 270 = 180 liter

Water = (1/3) × 270 = 90 liter

Now according to question

(180 + x)/(90 + x) = 8/5

⇒900 + 5x = 720 + 8x

⇒3x = 180

⇒x = 60

∴Quantity that was added = 2 × 60 = 120 liter

**Q2. A cistern contains 100 liters of water. 10 liters of water is taken out of it and replaced by the same quantity of soda. This process is repeated one more time. After that 20 liters of the solution is replaced by the same quantity of whiskey. Find the proportion of soda, water, and whiskey in the final mixture?**

a) 19 : 71 : 25

b) 38 : 72 : 50

c) 19 : 81 : 25

d) 29 : 71 : 25

**Answer: c**

**Solution:**

Given

A cistern contains 100 liters of water.

Calculation

Initially

Water = 100 lit

After 1^{st} replacement

Water : Soda = 90 : 10 = 9 : 1

After 2^{nd} replacement

Water = 90 – (10 × 9/10) = 81 lit

Soda = 10 – (10 × 1/10) + 10 = 19 lit

After 3^{rd} replacement

Water = 81 – (20 × 81/100) = 64.8 lit

Soda = 19 – (20 × 19/100) = 15.2 lit

Whiskey = 20 lit

∴Required ratio = 15.2 : 64.8 : 20

⇒19 : 81 : 25

**Q.3) Ratio of Milk and water in Vessel A is 7:4 and same mixture in the ratio of 5:3, 22 liters mixture from vessel A taken out and poured in vessel B new ratio of milk to water is 27:16. If new quantity of mixture in vessel B is equal to initial quantity of mixture in vessel A, then find quantity of Milk after 8 liters of mixture has been taken out from Vessel A?**

A) 200/29 liters

B) 546 / 11 liters

C) 120/13 liters

D) 220/19 liters**Answer: b**

Let Ratio of Milk and water in Vessel A is 7x and 4y

Let ratio of milk and water in vessel B is 5y and 3y

Now according to question.

(5y + 22 * 7 / 11) / (3y + 22 * 4 / 11) = 27 / 16

(5y + 14 )/ (3y + 8) = 27 / 16

80y + 224 = 81y + 216

Y = 8

New quantity of mixture in vessel B

= > (8 * 5 + 14) + (8 * 3 + 8)

= > 54 + 32

= > 86

Therefore initial quantity of vessel A = 86 liters

Quantity of milk remaining in Vessel A

86 * 7 / 11 – 8 * 7 / 11

= > 546 / 11 litres

**Q4. X and Y two alloys are made by mixing aluminum and magnesium metals in the ratio of 8: 5 and 9:16 respectively. If equal amounts of alloys are melted to form a new alloy Z, what will be the ratio of aluminum and magnesium in Z?**

a) 317:333

b) 316:319

c) 314:333

d) 313:317

**Answer: a**

**Solution:**

The ratio of aluminum and magnesium in Z = [8/13+9/25] : [5/13+16/25]

= 317/325 : 333/325

= 317:333

**Q5. How many kilograms of sugar of Rs.5.4 per kg should be mixed with 10 kg of sugar of Rs.4.5 per kg, such that there may be gain of 20% by selling the mixture at Rs.5.94 per kg.**

a) 10 kg

b) 12 kg

c) 15 kg

d) 8 kg

**Answer: A**

**Solution:**

Let, the amount of rice of Rs.5.4 per kg = x kg

According to the question,

x × 5.4 + 4.5 × 10 = 5.94 × (10 + x) ÷ 120 × 100

=5.4x + 45 = 4.95 × (10 + x)

=5.4x + 45 = 49.5 + 4.95x

=5.4x – 4.95x = 49.5 – 45

=0.45x = 4.5

=x = 10 kg

**Conclusion:** We have provided the **Mixture and Alligation Questions PDF** to you. Now download this PDF and start preparing for all Competitive Exams. Stay Connected with **Dream Big Institution** for the latest exam updates and study materials| PDF | Notes.

So, we hope that with lots of practice, these steps can help the Aspirants during their Competitive exam preparation to build the Knowledge that is required to solve Mixture and Alligation Questions problems during the Competitive exams.

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