Great Lakes PGPM & PGDM 2025
ApplyAdmissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.3 LPA Avg. CTC for PGPM 2024 | Application Deadline: 1st Dec 2024
The CAT 2024 exam for MBA admissions will be conducted in November 2024, and we've prepared a 60-day study plan to help you qualify for the exam. The Common Admission Test (CAT) is difficult, and being acquainted with its ideas is critical to passing it. In this article, we will go over three important topics: divisibility laws, line graphs, and verbs. These topics are typically included in the CAT examination, so studying them will help you prepare. We will also go over some previous year's questions to help you prepare.
Free Study Material: VARC | DILR | Quant | Chapter-wise Practice MCQs
CAT 2024: CAT'23 Official Question with Solutions (Slot 1, 2, 3)
Test: 20 Free Mock Test | 10 Year PYQs | Most Scoring Concepts
Divisibility:
To solve the Divisibility and remainder CAT questions, you must know the divisibility rules for different prime and composite numbers.
Here are some rules:
Divisor | Divisibility condition | Examples |
2 | The last digit is even (0, 2, 4, 6, or 8). | 1,564: 4 is even. |
3 or 9 | Sum the digits. If the result is divisible by 3 (9), then the original number is divisible by 3 (9). | 405 → 4 + 0 + 5 = 9 and 699 → 6 + 9 + 9 = 24 which both are clearly divisible by 3. 405 is divisible by 9 also but 699 is not. |
4 | Examine the last two digits. | 46532: 32 is divisible by 4. |
5 | The last digit is 0 or 5. | 875: the last digit is 5. |
6 | It is divisible by 2 and by 3. | 1,368: 1 + 3 + 6 + 8 = 18, so it is divisible by 3 and the last digit is even, hence the number is divisible by 6. |
8 | Examine the last three digits. | 84176: Examine divisibility of just 176: 22 × 8 = 176 |
11 | Form the alternating sum of the digits. | 918,082: 9 − 1 + 8 − 0 + 8 − 2 = 22. |
Eg: (i) 369 is divisible by 3 since some of the digits are divisible by 3.
(ii) 678 is divisible by 6 since it is divisible by both 2 and 3.
How will you check whether a number is divisible by 18, 24, or 72 (composite numbers)?
Do the Co-prime factors of the divisor. And the given number must be divisible by co-prime factors.
18 = 2 and 9 (For 18, the number should be divisible by 2 and 9 both)
24 = 3 and 8 (For 24, the number should be divisible by 3 and 8 both)
72 = 8 and 9 (For 72, the number should be divisible by 8 and 9 both)
Remainders:
As we all know
Dividend = Divisor x Quotient + Remainders
Questions based on remainders are being asked in the CAT exam. You must prepare this topic separately as there are many rules to find the remainder. Some of them are listed below:
Binomial Theorem
Method of Cancellation
Fermat Little Theorem
Chinese Remainder Theorem
Wilson Theorem
CAT Quant Questions With Solutions (Number System) From CAT Previous Year Papers/ CAT questions on Divisibility Rules:
Question 1. The remainder when 292929 is divided by 9 is? [IPMAT 2019]
3
4
2
1
Solution: (A)
If we divide 29 by 9, the remainder is 2.
So, we now will divide 22929 i.e. 2841 to get the remainder.
2841 can be written as 2(3x280+1) = (8280)x2
When we divide 8 by 9, the remainder is -1.
When divided by 9, will give as the remainder of ((-1)280)x2 = 2
Question 2: If then x divided by 70 leaves a remainder of: [CATQuestion Paper 2005]
0
1
69
35
CAT remainders questions with solution
Solution: (A)
Rem (163/70) = Rem (4096/70) = 36
Rem (173/70) = Rem (4913/70) = 13
Rem (183/70) = Rem (5832/70) = 22
Rem (193/70) = Rem (6859/70) = 69
Net Remainder = 36 + 13 + 22 + 69 = 140.
When 140 is divided by 70, the remainder is 0.
Question 3. How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7? [CAT Question Paper 2020]
41
42
40
43
Ans: (A)
Number of multiples of 2= 2, 4, 6, 8, ………, 120 (Total of 60 numbers)
Number of multiples of 5 = 5, 10, 15, 20……….., 120 (Total of 24 numbers)
Number of multiples of 7 = 7, 14, 21, …….., 119 (Total of 17 numbers)
Number of multiples of 2 and 5 =10, 20, …., 120 (Total of 12 numbers)
Number of multiples of 2 and 7 = 14, 28, ………, 112 (Total of 8 numbers)
Number of multiples of 7 and 5 = 35, 70, 105 (Total of 3 numbers)
Number of multiples of 2, 5 and 7 = 70 (Total of 1 number)
Total Numbers divisible by any of 2, 5 or 7 =(1) + (2) + (3) – (4) –(5) –(6) +(7)= 60+ 24+ 17 – 12 - 8 – 3 + 1= 79
Therefore, Numbers divisible by none of 2, 5 and 7 = 120 – 79 = 41.
Prerequisite:
The CAT exam requires students to have knowledge of the basic elements that are given below.
Prime numbers, composites, and Co-Primes
Even and Odd numbers
Digit Sum
Binomial Expansion
Multiples and Factors
Expansion of (a+b)n and (a-b)n where n is any positive integer.
Tips On CAT Preparation For Number System:
Remainder is equal to sum of individual remainders.
Eg: If (72 + 37 + 89) is divided by 7
Remainder = Rem (72/7) + Rem (37/7) + Rem (89/7) = 2 + 2+ 5 =9
Since sum is greater than 7, again divide 9 by 7 to find the remainder i.e. 2.
A number is divisible by a composite number if only if it is divisible by its co-prime factors.
Learn Divisibility rules and apply them to different questions for better CAT Quant preparation.
CAT Quant Preparation Material Reference
References to Study (Theory):
Learn the concept of class 9 Mathematics NCERT (For Theory)
Arun Sharma: A Quantitative Approach for CAT Quant preparation(6th Edition)
YouTube Channel of 2iim
References to Study (Practice):
MASTER Number System for CAT and GMAT by Nishit K Sinha.
Question bank from CAT-Holic
Sample Papers
CAT previous year papers
Part-2: Logical Reasoning And Data Interpretation
Topic: Data Interpretation (Line Graph)
As discussed in the previous article, Data interpretation is the most important topic for CAT Exam and other management entrance Exams. We have discussed the strategies to prepare Bar graphs and Pie charts previously.
In this section, we will learn about line graphs. Similar skills like Skills of observation, doing calculations quickly, analyzing things, and comparison of values will be required while solving the problems of DI based on Line graphs.
What is a Line Graph?
In this section, we will focus on the most basic aspects of a line graph and how to solve line graph questions.
On the y-axis, a dependent variable is taken while on the x-axis, an independent variable is taken.
Dots represent the values of x and y variables at that point.
Line gives a visual representation of the data and its variation.
Vertical Label: Name of Dependent Variable
Horizontal Label: Name of Independent Variable
Slope of the line gives the variation of data i.e. if slope is positive then growth is positive and if slope is negative then growth is negative
Questions On-Line Graph From CAT Previous Year Papers/ Line graph questions for CAT
Direction: The following graphs give the revenue and growth rates (yoy) of 4 divisions of Garbage Inc., a company that specializes in waste management:
Question 1. What were the total revenues in 2011?
Rs. 640 Crores
Rs. 725 Crores
Rs. 760 Crores
Rs. 680 Crores
Solution: (B)
Division | Revenue (2010) | Growth Rate (2011) | Revenue (2011) Approx. |
Leather | 230 | -10.9 % | 205 |
Paper | 155 | -1.9 % | 248 |
Pharma | 225 | 10.2 % | 152 |
Technology | 92 | 30.4% | 120 |
Total | 702 | 725 |
Question 2. In the year 2013, what was the share of revenues of the division Pharma?
27%
35%
19%
22%
Solution: (D)
Division | Revenue (2012) | Growth Rate (2013) | Revenue (2013) Approx. |
Leather | 232 | 7.8 % | 250 |
Paper | 145 | -5.4 % | 140 |
Pharma | 195 | -20% | 156 |
Technology | 145 | 10.3% | 160 |
Total | 720 | 706 |
Revenue of Pharma Sector in 2013 = Rs 156 Crore
Total Revenue of company in 2013 = Rs 706 Crore
Share of Pharma = 156x100/706 = 22 %.
Question 3. Which year saw the highest percentage growth in revenues overall?
2009
2011
2012
2013
2014
Solution: (A)
From the solutions of Q1, Q2, and Graphs:
Total Revenue in 2008 (In Crores) = (62 + 88 + 156 + 212) = 518
Total Revenue in 2010 (In Crores) = 702
Total Revenue in 2011 (In Crores) = 725
Total Revenue in 2012 (In Crores) = 720
Total Revenue in 2013 (In Crores) = 706
Total Revenue in 2014 (In Crores) = (130 + 172 + 180 + 262) = 744
We need to Calculate Revenue in 2009 and 2015.
Division | Revenue (2008) | Growth Rate (2009) | Revenue (2009) Approx. | Revenue (2014) | Growth Rate (2015) | Revenue (2015) Approx. |
Leather | 212 | 6.1 % | 225 | 262 | 3.1% | 270 |
Paper | 156 | 2.6 % | 160 | 130 | -7.7% | 120 |
Pharma | 88 | 72.7% | 152 | 180 | 4.7% | 188.5 |
Technology | 62 | 21% | 75 | 172 | 5% | 180.5 |
Total | 518 | 612 | 744 | 759 |
Year | Revenue | Growth (Current year- Previous Year) |
2008 | 518 | |
2009 | 612 | 612- 518 = 94 |
2010 | 702 | 702- 612 = 90 |
2011 | 725 | 725 – 702 = 23 |
2012 | 720 | 720 – 725 = -5 |
2013 | 706 | 706- 720 = -14 |
2014 | 744 | 744- 706 = 38 |
2015 | 759 | 759- 744 = 15 |
If we observe the data in the above table, the growth rate is maximum for the year 2009 since it shows maximum growth (94) on minimum value (518). So, we need not to calculate the growth rate separately for every year.
Our answer is option A.
Prerequisite:
To Prepare Data Interpretation (Line graph) for the CAT exam, a student must learn
The Basics of Coordinate Geometry
Percentage (Basic)
Knowledge of fractions and Ratio
Basics of statistics
Tips On CAT Preparation For Data Interpretation Line Graph questions (Line Graph questions for CAT):
Practice questions on Simplification and Approximation, Percentage .
Identify the trend of graphs.
Compare values to find the growth rate instead of calculating percentage.
Use the tables to interpret the data instead of writing long sentences (It will save your time).
Practice solving the questions of percentages with the help of fractions.
References To Study (Theory):
LRDI for CAT and GMAT by Nishit K Sinha.
To learn the basics of bar graphs read statistics of class 9 and Class 10 Mathematics from NCERT (For Theory)
Kailasha Online Learning Classroom YouTube Channel
References To Study (Practice):
Sample Papers
Question bank from CAT-Holic
How to Prepare for Data Interpretation for CAT by Arun Sharma
CAT previous year's papers
Part-3: VARCTopic: Verb and its Uses:
Verbs are part of “parts of speech,” which express an action or the state of being.
Examples:
He missed the train. (Here, "missed" describes the action.)
The dog is sleeping. (In this, "sleeping" expresses the state.)
Further, verbs can be classified as
Transitive,
Intransitive
Helping verbs.
In the above example 1, "missed" is a transitive word.
In example 2, ‘sleep’ is an intransitive verb.
In example 2, "is" is a helping verb, while "sleeping" is the main (action) verb.
Questions On Verb from CAT Previous Year Papers
Q.1 Direction: Choose the option with the wrong use of the verb
Ans: D
“Invites” should come instead of invite (for singular noun: “either of extreme positions” forms singular clause)
Q2. Whether or not the rumours are true is beside the point.
the rumours are true are beside the point.
the rumours are true is beside the point.
the rumours are true are beside the point.
No correction required
Ans: B
‘the rumours are true’ is a noun clause, so ís’ should come in place of áre’.
Q3. Just as every generation believes it’s better than the others, so too does every country.
Ans: D
Correct use of pronouns and verbs is there.
Prerequisite:
Basic Knowledge of Tenses
Basic Knowledge of Sentence Formation
Knowledge of Nouns and Pronouns
Tips On CAT Preparation for Verbal Ability (Verb and its Uses):
Practice sentence formation by using different forms of the verb and analyze the change in the meaning of the sentence. In this way, you will learn the correct use of verbs.
Learn the rules for the use of verbs.
Reading Novels and newspapers (The Hindu) will certainly help you to learn the correct uses of Verbs.
References for Study (Theory):
Advanced English Grammar by Martin Hewings
2iim YouTube Channel
References for Study (Practice):
Question bank from CAT-Holic
CAT previous year's papers
How to Prepare for Verbal Ability & Reading Comprehension for CAT by Meenakshi Upadhyay and Arun Sharma (9th Edition)
Top Executive MBA Programmes in India | CAT Verbal Ability |
A line graph is an easy method to demonstrate how something evolves over time or how two items are connected. To show these changes, it draws a line connecting points on the graph.
The Binomial Theorem simplifies the expansion of formulas like (x+y)^n, particularly when n is large. Normally, expanding these equations would take a long time, but the Binomial Theorem gives a formula that makes the process faster and simpler. This involves learning how to compute binomial coefficients, grasping the elements of the theorem, and applying it to various applications. It's a handy tool for managing lengthy, complex expansions.
The X-axis (bottom line) usually depicts time or categories such as days, months, or types of item.
Y-axis (side line): Displays numbers such as sums, temperatures, or scores.
A verb is a term that expresses what someone or something is doing or indicates a state of being. Verbs may describe activities, such as running or eating, or they can refer to additional information, such as stating that someone is satisfied. Some verbs, such as has and will, also aid in the expression of time. In layman's words, verbs are vital because they inform us what is occurring in the sentence, whether it's an action, an emotion, or a situation.
Total revenue is the entire amount of money a firm earns by selling its goods or services. It is determined by multiplying the price of each item by the quantity sold. It refers to the company's sales profits before removing any expenses.
The student cannot join the postgraduate MA program directly in the second year of the MA after completing the MBA.
Universities generally expect students to begin the first year of a masters' program even though they had qualifications at the level of a bachelor's degree. The university's curriculum along with the courses are planned to give an in-depth knowledge of the subjects.
But you could opt for:
Postgraduate Studies:
Research Career: In case research interests you, then you can pursue a Ph.D. in your specific interest.
Specialized Master's Programs: Find any specific master's course that supports the career goal.
Professional Certifications:
Make a professional certification in CFA, CA, or FRM to enhance the professional skills and better opportunities in the career field.
Job Entry via MBA
After gaining an MBA from a renowned institution, it's possible to get entry into the corporate world where the diversity in the career field is assured.
In the end, it would depend on what you would like and what you are particularly interested in. It will be better if you take a suggestion from your academic advisor or career counselor.
Hello Pratik,
If your family income exceeds 8 LPA, it will affect your eligibility for the NC-OBC category under the CAT reservation rules. The NC-OBC category requires that the family income should be below 8 LPA to qualify. If you anticipate that your income will exceed this threshold, you should update your status and notify the CAT authorities .
Here's what you can do:
Email the CAT authorities
: Inform them about the potential change in your income status and request to be considered under the
General
category, if applicable. You should do this before the examination or any further processing, as your eligibility for the OBC category depends on the income criteria.
Documents and Proof
: Make sure you have a valid
OBC certificate
and any relevant documentation regarding your family income, in case they require verification. Also, be aware that if your income exceeds 8 LPA, you might need to apply under the
General
category, as the OBC-NC reservation is no longer applicable.
General Category Consideration : If your application is accepted as General, you will be evaluated based on the General category criteria, including cutoffs and ranking.
To summarize, notifying the CAT authorities is the correct approach to avoid discrepancies later, and if your income is above the threshold, you will be treated as a General candidate for the admissions process.
For more details about CAT exam you can check out an article by Careers360 whose link is given below:
Link: https://bschool.careers360.com/exams/cat
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
Hi Shreya ,
Having a tattoo on your wrist should not create a problem during the CAT exam as long as it does not contain any content that violates exam rules , such as communication-related symbols , unauthorised messages or any text resembling formulas or answers .
For a safe side , it is recommended :
1. Inform the Invigilators : Let them know about your tattoo during the identification check , so there are no misunderstandings .
2. Follow the Guidelines : Ensure you follow all instructions regarding permissible items and dress code on the exam day .
Hope this helps you .
ALL THE BEST .
To know about this please prefer our college predictor
Hello,
Yes, you can also join IIMs two years after graduation, depending upon the justification in interviews and your performance in entrance exams. If you are not sure about CAT, try those other management exams less hard:
Common Management Admission Test: Easier than CAT; 4-5 months of continuous preparation will suffice.
MAT : Much easier and takes place thrice a year.
SNAP (Symbiosis National Aptitude Test): A bit easier than CAT, apt for Symbiosis Institutes.
Xavier Aptitude Test or XAT : Hence, easier than CAT but the unique decision-making section.
Use exams like CMAT and MAT as a challenge to be competitively prepared. This can be given about 4-5 months, along with a few rounds of mock tests and smart studying.
A career as Marketing Director is also known as a marketing expert who is responsible for the overall marketing aspect of the company. He or she oversees plans and develops the company's budget. The marketing Director collaborates with the business team to plan and develop the marketing and branding strategies for the company's products or services.
A Business Development Executive (BDE) is a professional responsible for identifying growth opportunities and fostering strategic partnerships to enhance a company's market position. Typically, a BDE conducts market research, analyses industry trends, and identifies potential clients or business prospects. He or she plays a crucial role in developing and implementing sales strategies to achieve revenue targets.
A BDE often collaborates with cross-functional teams, including marketing and product development, to align business objectives. Strong communication, negotiation, and relationship-building skills are essential for success in this role. BDE strives to expand the company's customer base, drive sales, and contribute to overall organisational growth in a dynamic and competitive business environment.
Content Marketing Specialists are also known as Content Specialists. They are responsible for crafting content, editing and developing it to meet the requirements of digital marketing campaigns. To ensure that the material created is consistent with the overall aims of a digital marketing campaign, content marketing specialists work closely with SEO and digital marketing professionals.
A sales manager is a revenue-generating source for a company. Any organisation or company which sells a commodity or service requires sales to generate revenue. A Sales manager is a professional responsible for supervising the sales team. An Individual as a sales manager works closely with salespeople, assigns sales territories, sets quotas, mentors the members of the sales, assigns sales training, and builds a sales plan.
The Sales Manager work also includes hiring and laying off sales personnel after evaluating his or her work performance. In bigger entities, sales quotas and plans are usually set at the executive level. He or she is responsible for overseeing the set target or quotas met by salespeople or upholding any policy. He or she guides his or her fellow salespeople and allows them to sell.
Individuals who opt for a career as a business analyst look at how a company operates. He or she conducts research and analyses data to improve his or her knowledge about the company. This is required so that an individual can suggest the company strategies for improving their operations and processes.
In a business analyst job role a lot of analysis is done, things are learned from past mistakes and the successful strategies are enhanced further. A business analyst goes through real-world data in order to provide the most feasible solutions to an organisation. Students can pursue Business Analytics to become Business Analysts.
A marketing manager is a person who oversees a company or product marketing. He or she can be in charge of multiple programmes or goods or can be in charge of one product. He or she is enthusiastic, organised, and very diligent in meeting financial constraints. He or she works with other team members to produce advertising campaigns and decides if a new product or service is marketable.
A Marketing manager plans and executes marketing initiatives to create demand for goods and services and increase consumer awareness of them. A marketing manager prevents unauthorised statements and informs the public that the business is doing everything to investigate and fix the line of products. Students can pursue an MBA in Marketing Management courses to become marketing managers.
An SEO Analyst is a web professional who is proficient in the implementation of SEO strategies to target more keywords to improve the reach of the content on search engines. He or she provides support to acquire the goals and success of the client’s campaigns.
Digital marketing is growing, diverse, and is covering a wide variety of career paths. Each job function aids in the development of effective digital marketing strategies and techniques. The aims and objectives of the individuals who opt for a career as a digital marketing executive are similar to those of a marketing professional: to build brand awareness, promote company services or products, and increase conversions. Individuals who opt for a career as Digital Marketing Executives, unlike traditional marketing companies, communicate effectively through suitable technology platforms.
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.3 LPA Avg. CTC for PGPM 2024 | Application Deadline: 1st Dec 2024
180+ Companies | Highest CTC 15 LPA | Average CTC 7.5 LPA | Ranked as Platinum Institute by AICTE for 6 years in a row | Awarded Best Business School of the Year
Passport to over 600+ B-Schools | Availed by lakhs of students | Wide acceptability of scores by hundreds of Business Schools and University Departments
UGC Approved Programs | 100% Placement Record | Up to 100% Scholarships | Highest CTC 21.74 LPA
Ranked 05th best University in India by NIRF 2024 | Highest CTC 35 LPA | Average CTC 11.4 LPA
9 IBS Campuses | Scholarships Worth Rs 10 CR