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This article covers quantitative aptitude for CAT, DIRL and VARC sentence correction sessions. Students are recommended to go forward with this and practise a little more. Many aspirants also refer to books such as Quantitative books for CAT to learn and practise more regarding the subject. These Average mixture and allegation CAT questions are good for the aspirants to understand the usage of Averages. Aspirants can also refer to average questions for CAT pdf.
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
The Average or mean is calculated by the sum of observations divided by the number of observations.
Simple Average/ Simple Mean (X) = (x1 + x2 + x3 +… + xn)/n; x1, x2, x3, ………, xn are n number of observations.
Weighted Average/ Weighted Mean:
i.e, x1, x2, x3, ………, xn are n observations. w1, w2, ……., wn are their respective weights.
Average questions for CAT exam:
Difference between the persons added and who left = change in average × number of persons. When a person joins the group of n persons; if the average increases then the Age of the new person = Old average + (n + 1) × difference between averages
If the average decreases then:
Age of the new person = Old average - (n + 1) × difference between averages
The average of an AP of odd terms is always its middle term.
In the general case, the Average of an AP is the Average of its first and last term.
The average of an AP of even terms is the average of its two middle terms.
When a person replaces another person then the average age of the group will be increased or decreased.
Q1. Ramesh and Gautam are among 22 students who wrote an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is:
[CAT exam 2019, TITA]
Solution:
Let the score of Gautam be x.
According to the given condition,
Total marks of 22 students = 21 × 62 + x
∴ Average score of 22 students = (21 × 62 + x)/22
According to the second condition,
The average score of all 22 students is one more than the average score of the 21 students other than Ramesh,
So, (21 × 62 + x)/22 = (21 × 62 + x – 82.5)/21 + 1
⇒ (21 × 62 + x)/22 -1 = (21 × 62 + x – 82.5)/21
⇒ (21 × 62 + x - 22)/22 = (21 × 62 + x – 82.5)/21
⇒ (1280 + x) / 22 = (1219.5 + x) / 21
⇒ x = 51
Hence, the correct answer is 51.
Q2. Last year, the average age of the class of 25 students was 13 years. If the age of the class teacher was included, the new average of the class became 14 years. Exactly a year later (i.e. this year), the class teacher leaves the school and if the age of the new class teacher is included, then the new average of the class this year becomes 14.5 years. Find the age of the new class teacher. [CAT exam PYQ]
27
41
43
67
Solution:
Present average of 25 students = 14 years
Total age of 25 students = 25 × 14 = 350
Let the age of new teacher be x.
Average (including new class teacher) = (350 + x)/ 26
⇒ 14.5 = (350 + x)/ 26
⇒ 350 + x = 377
⇒ x = 27
Hence, the correct answer is 27 years.
Q3. In 2001, the average age of a family of 7 members was 36 years. In 2010 a family member expired and a child was born to the family. In 2018 another family member expired merely a week later after the marriage of the younger son of the family to his bride of age 27 years. It was found that the average age of the family in 2021 was 43 years. Out of the options provided, which could have been the individual age of the two family members when they expired in 2010 and 2018, respectively?
68 and 50
74 and 52
82 and 40
84 and 43
Solution:
If the average in 2001 is 36, then in 2021 the average must be 36 + 20 = 56 years
But actually, it is 43 years, that is a deficit of (56 – 43) = 13 years
Throughout the 20 years, at the end of every year, the total members of the family were 7.
∴ Deficit in years = 7 × 13 = 91 years
But the bride was added to the family at 27 years of age.
So the total deficit created by the expiry of the 2 members of the family was = 91 + 27 = 118 years
Out of the options, only the first one’s total comes to 118 years.
Hence, the correct answer is 68 and 50.
Q4. Out of 28 non-zero integers, exactly 12 exceed 10 and exactly 12 are less than 10. The average of these 28 integers is 10. What is the highest possible value of the average of the remaining 4 integers?
14
13
14.5
10
Solution:
Each of the remaining numbers is equal to 10. (the only possibility)
So, the average of the remaining 4 will be 10.
Hence, the correct answer is 10.
Arithmetic Progression, Geometric Progression
Arithmetic Mean and Geometric Mean
Knowledge of Linear Equations
To begin your CAT preparation, go through these steps in order.
At the initial stage of preparation for CAT 2024, try to solve at least 4 to 5 questions on averages to check your understanding of the concept.
Get familiar with fundamental questions like “What is Average in math formula”, “How to find the average in math”, “What is the meaning of average in math”, “Another name for average in math” and “What is weighted average”.
Try some basic questions on averages. (Probably level of difficulty 1)
Once you have figured out the basics, you can move on to more difficult problems by learning some shortcuts and special cases.
Start to solve difficult problems from the books which are suggested in this article.
CAT syllabus 2024: References for Study; CAT Aptitude books (Theory)
How to Prepare Quantitative Aptitude by Arun Sharma (7th edition)
Handa Ka Funda CAT Exam Prep
Mission CAT (YouTube)
CAT syllabus 2024: References to Study (Practice)
R S Agrawal for quantitative aptitude
https://iim-cat-questions-answers.2iim.com
Previous Year's Question Papers
The following concepts are used in distribution-based puzzles:
Distribution of objects among persons/places
Arrangement of persons based on some parameters like height, rank, weight, etc.
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CAT preparation: Importance of puzzles based on distribution:
Puzzles on distribution are used as an effective tool for learning.
It carries a good weightage in the CAT Exam as seen in CAT previous year papers.
Help a person in solving real-life situations.
Students need to practice the selection and distribution CAT questions to get a better idea about this topic.
Comprehension:
Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes - X, Y, and Z. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:
Three students are from X, three are from Y, and the remaining two students, both female, are from Z.
Both the male students from Y minor in Finance, while the female students from Y majors in Operations.
Only one male student majors in Operations, while three female students minor in Marketing.
One female and two male students major in Finance.
Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
Barun is from Y and majors in Operations. Chetan is from X and majors in Finance.
Daisy minors in Operations. [CAT exam 2018]
Q1. Who are the students from Institute Z?
Adriana and Bandita
Adriana and Daisy
Chitra and Daisy
Bandita and Chitra
Q2. Which subject does Deb minor in?
Marketing
Operations
Cannot be determined uniquely from the given information
Finance
Q3. Which subject does Amit major in?
Cannot be determined uniquely from the given information
Marketing
Finance
Operations
Q4. If Chitra majors in Finance, which subject does Bandita major in?
Cannot be determined uniquely from the given information
Marketing
Operations
Finance
Solution:
Form a table from the given information to better understand the problem as below:
Name of Student | Gender | Institute | Major | Minor |
Adriana | Female | Same as Deb | ||
Bandita | Female | |||
Chitra | Female | |||
Daisy | Female | Same as Amit | Operations | |
Amit | Male | Same as Daisy | ||
Barun | Male | Y | Operations | |
Chetan | Male | X | Finance | |
Deb | Male | Same as Adriana |
Bandita and Chitra must be from Z. Since two females are from Z. So, this is the only possibility.
Three females are Minor in Marketing. So, Adriana, Bandita and Chitra must minor in Marketing.
Daisy must not be from Y Since females from Y must have a major in Operation but Daisy is a minor in Operations. Therefore, Adriana must be from Y and So Deb does.
Bandita and Chitra must be from X.
Female from Y i.e. must have a major in Operation. And males from Y have a minor in Finance.
Two male students major in Finance. Deb cannot be that one since He is a minor in Finance. So, Amit should be Majoring in Finance.
Name of Student | Gender | Institute | Major | Minor |
Adriana | Female | Same as Deb (Y) | Operations | Marketing |
Bandita | Female | Z | Marketing | |
Chitra | Female | Z | Marketing | |
Daisy | Female | Same as Amit (X) | Operations | |
Amit | Male | Same as Daisy (X) | Finance | |
Barun | Male | Y | Operations | Finance |
Chetan | Male | X | Finance | |
Deb | Male | Same as Adriana (Y) | Finance |
From the given information, the table will look like as shown.
Answer 1: (D)
Answer 2: (D)
Answer 3: (C)
Answer 4: (C) If Chitra does major in Finance then Bandita must major in Operations since only one female can do a major in Finance.
Knowledge of the basics of
Ranking
Direction Sense
Blood Relation
Knowledge of Linear and Circular Arrangement.
Following are some tips and tricks to solve the puzzles based on distribution:
Read each and every piece of information carefully.
Note down important clues and information in short form.
Form tables to mark the possibilities.
Eliminate the wrong possibilities.
Make pairs of related information.
Use the least information at last.
Solving more and more puzzles will help you to build your concept.
CAT syllabus 2024: References to Study (Theory)
Verbal and Non-Verbal Reasoning by R S Aggarwal. (Basic)
ELITES GRID for CAT (YouTube Channel)
CAT syllabus 2024: References to Study (Practice)
Verbal and Non-Verbal Reasoning by R S Aggarwal. (Basic)
LRDI for CAT and GMAT by Nishit K Sinha. (Advance)
Previous Year's Question Papers
Problems of sentence correction involve errors based on
Wrong use of Tenses
Wrong uses of Articles, Propositions
Wrong use of Subject-Verb agreement
Error of Repetition
Error in the choice of phrases/ Words
Sentence correction Questions
Q1. There is no more room for you in this compartment. [IPMAT 2020-IPM Rohtak]
there is no more seat
there is no more space
there is no more accommodation
No improvement
Answer: (4) No correction required
Q2. The place where her father disappeared and the reason why he did are unknown to her. [IPMAT 2020]
her father disappeared and the reason why he did
where her father disappeared and the reason he did
her father disappeared and the reason he did
where her father disappeared and the reason why he did
Answer: (B) The words ‘reason’ and ‘why’ both should not be used there.
Q3. The Municipal Council can no longer wash its hands off its responsibilities. [IPMAT 2020]
wash its hands from its
wash their hands off their
wash their hand of their
wash its hands of its
Answer: (B) Council will have more than one person so ‘their’ should come in place of ‘its’.
Q4. Though disposing of nuclear waste remains a concern, nuclear plants are often subsidized because of the steady, carbon-free power provided. [Based on CAT PYQ]
off nuclear waste remains a concern, nuclear plants are often subsidized because of the steady, carbon-free power provided.
of nuclear waste remains a concern, nuclear plants are often subsidized because of the steady, carbon-free power they provide.
off nuclear waste remains a concern, nuclear plants are often subsidized because of the steady, carbon-free power they provide.
No correction required
Answer: (B) ‘disposing of’ is the correct use of phrasal verbs. So, 1 and 3 cannot be the answer.
The verb should be in accordance with the subject and the subject here is ‘nuclear plants. The verb ‘provided’ should be replaced with ‘they provide’.
Noun, Pronoun, Verb
Tenses
Articles, Prepositions
Subject- Verb Agreement
Look out for time indicators (before, after, ago, while etc) to check whether the correct form of the verb is used.
Find the best option by examining each one.
To find the error in the underlined part, pay attention to the non-underlined part.
If you find two choices correct then choose the shorter choice.
Substitute the selected choice in the place of the underlined part and check whether it makes sense or not.
Use the elimination technique.
Attempt CAT sample papers.
Check online English sentence correction.
CAT Syllabus 2024: References to Study (Theory)
How to Prepare for Verbal Ability & Reading Comprehension for CAT by Meenakshi Upadhyay and Arun Sharma (9th Edition)
CAT Edurav (Youtube Channel)
CAT Syllabus 2024: References to Study (Practice):
Mastering the Verbal Ability for CAT by Ajay Singh
https://iim-cat-questions-answers.2iim.com/
Practice Sample Question Papers.
CAT Exam Pattern 2024 | CAT 2024 Mastery: Chapter-wise MCQs for Success for VARC, DILR, Quant |
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.
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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.
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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.
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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.
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