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Tips to Solve Mixture problems SSC CGL Quantitative Aptitude

Last Updated - July 03, 2017

Numerical ability questions under the quantitative aptitude section are thought to be the trickiest and toughest to solve. However, the truth is that they are one of the easy nuts to crack provided you have a good strategy and understanding of the topic.

Staff Selection Commission’s Combined Graduate Level exam (SSC CGL) is scheduled to be held from August 1 to August 20 this year. After going a change in the mode of exam and pattern last year, SSC CGL will undergo a minor change this year.

Unlike last year the candidates would be provided only one hour of time that is 60 minutes to attempt the tier one paper instead of 75 minutes. However, the number of questions to be attempted are unchanged (that is 100 questions).

Here we will discuss one such crucial topic from the numerical ability portion that is mixtures and allegations and would discuss various tips and tricks related to the same.

Weightage over the years

The Mixture and allegations is an important topic under the purview of quantitative aptitude. Each year around 2 to 3 questions are asked from the topic. Since the number of questions has been reduced from 200 to 100 from last year in the SSC CGL Tier 1 exam the relative number of question has also come down to around 1 to 2 under this topic. However, the percentage wise weightage has remained same. For your reference, we have tabled the weightage of this topic in previous year papers.

YearNumber of questions

Apart from SSC’s CGL exam, the Mixture and allegations topic has a good weightage in other SSC exams as well like the SSC CPO, SSC LDC, and SSC Stenographer etc.

Types of questions asked

he questions asked from Mixtures and allegations in the exam are mostly combination based or are application of formulas in a logical manner. Questions are generally asked in a manner where establishing a link between the mixture and allegation topic and the ratio and proportion topic is tested.

The level of the questions asked in the exam is of Matriculation level and with little bit of practice and understanding one can easily solve those 3 to 4 questions from this section. For your reference, we have listed the various types of questions asked in from the mixtures and allegations topic in the SCC CGL exam.

  • Questions based on mixing of water in the milk
  • Question based on relation with ratio and proportion chapter
  • Application of concepts in other topics like SI, CI
  • Questions based on application of basic formulas.

Important Formulas

Formulas are the backbone of in quantitative aptitude section. To ace them is important to ace the quantitative section. To help you out a bit we have listed some important formulas (in the screen shot below) from the topic mixtures and allegations which are very helpful in solving questions from this topic. 


Tips and Tricks to solve Mixture and Allegation questions

As we discussed earlier that quantitative aptitude is a scoring section and topic like mixtures and allegations though are tricky but makes it easier for you to boost your score. All you need to do is follow the right strategy to tackle them. Thus, it is important that you tackle them out with a proper strategy. To ease your tension a bit we would here provide you some effective tips and tricks to solve the questions from this section with great accuracy.

  • First of all make a list of all important formulas (provided above) and memorize them logically so as to apply them in questions.
  • Gather all the questions you can on the topic. Take a help of both online and offline sources for that purpose. Keep in mind that collected questions are credible in nature as many websites/books give wrong answers to these questions so, be careful.
  • After collecting a good number of questions say 100 to 200 start practicing slowly. Read the question and try to solve it without noting out the time taken to solve.   
  • After solving around 30 to 40 questions in this manner you will start getting comfortable with the kind of questions they make. Now, the time taken by you to solve the question will also reduce. After you achieve this much, keep practicing and try to increase the level (optional).

When you have done over 100 to 200 questions and are satisfied with your performance you would realize that you are taking less than a minute to solve the question. If you have followed the plan diligently so far then by now no question from this topic would be alien to you.

Challenges Faced by Students in Mixture and allegations

The very reason behind students facing challenge in this topic is the general perception among candidates that it is a tough topic and questions should be skipped to avoid loss of time. Another problem students face while solving these questions is the establishment of link between the mixture topic and ratio and proportion. As most of the questions are based on decoding this relation student find it tough to tackle the question. The above mentioned approach would come in handy in tackling the challenge from this section.

Sample questions

For your reference, purpose we have listed some sample questions from Mixture and allegations which are similar in nature to the one asked in the exam. Have a look at these questions and try to solve them.

1. A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio of milk and water in the resultant mixture?

  1. 17 : 3
  2. 9 : 1
  3. 3 : 17
  4. 5 : 3

2.In what ratio must a person mix three kinds of tea costing Rs.60/kg, Rs.75/kg and Rs.100 /kg so that the resultant mixture when sold at Rs.96/kg yields a profit of 20%?

  1. 1 : 2 : 4
  2. 3 : 7 : 6
  3. 1 : 4 : 2
  4. None of these

3.A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at a profit of 20% at Rs.30/kg. How many kg of the second variety will be in the mixture if 2 kg of the third variety is present in the mixture?

  1. 1 kg
  2. 5 kg
  3. 3 kg
  4. 6 kg

4.How many kg of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kg of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?

  1. 20 kg
  2. 12.5 kg
  3. 16 kg
  4. 200 kg

5.How many litres of water should be added to a 30 litre mixture of milk and water containing milk and water in the ratio of 7 : 3 such that the resultant mixture has 40% water in it?

  1. 7 litres
  2. 10 litres
  3. 5 litres
  4. None of these

You can take the help of both the offline (Books) and online sources for preparation of this section. For your reference purpose, we have noted down both the recommended offline and online sources.

Recommended books

Quantitative aptitudeR.S. Aggarwal
NCERT Mathematics Class IX and XNCERT
Previous years questions for quantitative aptitudeKiran Publication

Recommended websites

  • Gradeup
  • Testbook
  • SSC Portal
  • Unacademy
  • SSC Blogs
  • Study Smart YouTube channel.



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