CAT Combination and Graphs is the part of DILR subject and the overall weightage of the topics is about 12.5% of the total marks. CAT question paper will have only MCQ type questions from this topic in the set format where 1 set will have around 4-5 questions. No TITA or non-MCQ type question would be asked from this topic. Check CAT DILR Exam Pattern

CAT Combination and Graphs is not very difficult, therefore candidates are advised to focus more on this topic to score high in CAT 2021. From Combination and Graphs topic questions could be based on calculating the percentage of annual hike in revenue, change in population etc. Read the article to know more about type of questions, topics, preparation tips and solved sample questions. 

Basic Concepts of CAT Combinations and Graphs

Mathematically, Combination is defined as: 

• Number of possible arrangements that are possible for a number of items, with or without repetition. 
• The questions asked from combinations in the CAT exam are fairly direct, the candidate being asked to find out the number of arrangements that can be made as per certain cases

Similarly, a graph can be mathematically explained as: 

• A diagram which shows the relation between two variable quantities. It contains some points or lines. In a graph, each object is called a node. 
• The questions asked from Graphs vary in their approach, candidates can be asked to compare data in between two nodes or can be as to find variations in the derivative data that can be inferred from the graphs (such as % annual hike in revenue when SP of each article and a graph of items sold per year is given) 

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CAT Combination and Graphs Preparation Tips

As the section CAT Combination and Graphs is not very difficult, scoring candidates are advised to focus on this section. In the below section, some preparation tips for CAT Combination and Graphs are given. 

• CAT combination and Graphs Questions are the most frequent questions of DILR section (12.5% weightage in the DILR section).Thus, a candidate should Cover all the types of questions that can be asked from this topic, from CAT DILR Syllabus 2021. 
• A candidate must read the question more than once and understand each question before solving the problem. In this process, the chances are less for marking the incorrect answer. 
• Note down and practice the rules and formula of combination. And make it a habit to give a look at those formulas.
• Solve previous year’s questions. This will not only help to get an idea about the type of the question but also helps to take preparation in an effectificient way. 
• Give mock tests daily. It will help to get a fair idea about the difficulty level of the exam.

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CAT Combination and Graphs Solved Questions

In the below section some solved questions regarding CAT Combination and Graphs are given.

Ques. What are the number of ways to arrange the letters of the word AMAZING in a way so that the ‘I’ appears between the two ‘A’s?

1. 5 ! ways
2. 7 ! ways
3. 8 ! ways
4. 4 ! ways

Correct Answer: (A)

Ques. Find out the total number of integers in the set {100, 101, 102, ..., 999} contains at least one digit which is repeated.

1. 252
2. 232
3. 262
4. 272

Correct Answer: (A)

Ques. What are the number of ways can 7 identical erasers be distributed among 4 kids in a way so that minimum one eraser is received by each kid but they must not carry not more than 3 erasers?

1. 16
2. 20
3. 14
4. 15

Correct Answer: (A)

Ques. What are the number of ordered triplets (a, b, c) exist if the sum of three Natural numbers a, b and c is 10?

1. 45
2. 36
3. 54
4. 28

Correct Answer: ( B)

Ques. Find out the number of ordered triplets (a, b, c) exist when the sum of three Whole numbers a, b and c is 10. 

1. 66
2. 78
3. 72
4. 56

Correct Answer: ( A)

Ques. What are the number of ways 11 identical toys be placed in 3 distinct boxes in such way that all the box remains full?

1. 72
2. 54
3. 45
4. 36

Correct Answer: ( C)

Ques. A seven-digit number containing 2's and 3's. Find out the answer from these that are multiples of 12. 

1. 11
2. 12
3. 10
4. 22

Correct Answer: ( A)

Ques. What number of times will the digit be printed when all numbers from 100 to 10,000 are listed? 

1. 3980
2. 3700
3. 3840
4. 3780

Correct Answer: ( A)

Set I: A revenue chart containing various companies in the technology section in Cuckooland is shown below.

Ques. In the year 2001, a company increased its growth by 100%. Find out the rate of the growth of a company which had the minimum growth rate. 

1. 50%
2. 25%
3. 20%
4. 33%

Correct Answer: ( D)

Set II: Based on the total amount invested by the investor, a fixed annual rate of interest was declared by two companies i.e “COLACOCA” and “SESPI”. Both are separate finance companies. In the below line graph, an annual rate of interest offered by both the Companies over the years is shown. 

Ques. In 2000, some amount of INR 60 lakhs was invested in the company “COLACOCA” and the remaining was invested in the company “SESPI” for one year. The amount of interest in total that was received was INR 4.86 lakhs. Calculate the amount invested in the company “COLACOCA”?

1. 18
2. 36
3. 24
4. 40

Correct Answer: ( 2)

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