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Hello CAT 2023 candidates, On November 26, the CAT exam 2023 for MBA admissions 2024–2026 will take place. In this CAT 2023 60 days preparation guide series of Careers360, we will discuss the strategies to prepare Permutation and Combination Questions For CAT Exam for day 35 that can help you prepare well and crack the CAT entrance test 2023.
This article covers the following topics i.e CAT Permutation and Combination Questions, Syllogism questions and Parallelism strategies for CAT.
CAT Preparation 2023 in 60 days
Permutation and Combination Examples:
Permutation Examples:
Arranging Books: You have 4 different books (A, B, C, D) and you want to arrange them on a shelf. The number of ways to arrange them in a specific order would be a permutation. For example, ABCD, ACBD, BCAD, etc.
Choosing a Committee: You have 5 people and you want to choose a president, vice-president, and secretary from among them. The order in which you choose these roles matters, so this is a permutation.
Combination Examples:
Picking Fruits: You have 6 different fruits and you want to choose 3 to take with you. The order in which you choose them doesn't matter, only which fruits you select. This is a combination.
Selecting a Pizza Topping: You are ordering a pizza and can choose 4 toppings from a list of 8. The order in which the toppings are placed on the pizza doesn't matter, so this is a combination.
CAT Exam: Basic Principle of Counting: Permutation And Combination Previous Year Questions
Q1. How many four-digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, and 6, such that no digit is used more than once and 0 does not occur in the left-most position? [TITA, CAT 2017]
Solution:
This CAT Permutation and Combination questions are based on Arrangements
Some points to be noticed: permutation and combination formula -
0 does not occur in the leftmost position.
If the numbers are to be divisible by 6 it should be a multiple of 2 and 3.
So, the number should be an even number and also be divisible by 3.
Permutations and combinations Examples:
At the unit place, there can be either 0, 2, 4, 6
Permutations and combinations Case 1: Unit Place is ‘0’
Sum of the rest of three should be divisible by 3, The possible pairs are
2, 3, 4; Number of arrangements = 3! = 6.
2, 4, 6; Number of arrangements = 3! = 6.
Total Numbers in Case 1 = 12
Permutations and combinations Case 2: Unit Place is ‘2’
Sum of all four digits should be divisible by 3, The possible pairs are
0, 4, 6 (Sum 0+ 4+ 6+ 2= 12); Left most place is filled in 2 ways and the remaining two places are filled in 2 ways, so total numbers formed = 4
3, 4, 6 (Sum 2+ 3 + 4+ 6 = 15); Number of arrangements = 3! = 6.
0, 3, 4 (Sum 0+ 4+ 3+ 2= 9); Left most place is filled in 2 ways and the remaining two places are filled in 2 ways, so total numbers formed = 4
Total Numbers in Case 2 = 14
Permutations and combinations Case 3: Unit Place is ‘4’
Sum of all four digits should be divisible by 3, The possible pairs are
2, 3, 6 (Sum 2+ 3 + 4+ 6 = 15); Number of arrangements = 3! = 6.
0, 2, 6 (Sum 0+ 4+ 6+ 2= 12); Left most place is filled in 2 ways and the remaining two places are filled in 2 ways, so total numbers formed = 4
0, 3, 2 (Sum 0+ 4+ 3+ 2= 9); Left most place is filled in 2 ways and the remaining two places are filled in 2 ways, so total numbers formed = 4
Total Numbers in Case 3 = 14
Permutations and combinations Case 4: Unit Place is ‘6’
Sum of all four digits should be divisible by 3, The possible pairs are
2, 3, 4 (Sum 2+ 3 + 4+ 6 = 15); Number of arrangements = 3! = 6.
0, 2, 4 (Sum 0+ 4+ 6+ 2= 12); Left most place is filled in 2 ways and the remaining two places are filled in 2 ways, so total numbers formed = 4
Total Numbers in Case 4 = 10
Therefore, in total we can form 12 + 14 + 14 + 10 = 50 four- digit numbers.
Hence, the answer is 50
Pre-requisite to permutations and combinations for CAT exam
Vedic Maths
Factorial
CAT study material: References to Study (Theory) permutations and combinations for CAT exam
NCERT Class 11 Maths
CAT Funda (YouTube, Link: https://www.youtube.com/watch?v=kqTIPJQ4JAM)
References to Practice CAT Permutation and Combination Questions
Practice CAT Permutation and Combination Questions
How to prepare quantitative Aptitude for CAT by Arun Sharma.
R B Classes (YouTube, Link: https://www.youtube.com/watch?v=St4IMbF4Kh0)
CAT 2023 Syllabus Topic: Strategy to prepare “Syllogism” (Part-1)
Important Concepts/ Formulas
The syllogism consists of statements and conclusions.
Some Rules:
All+ All=All
All+ No=No
All+ Some=No conclusion
Some+ All=Some
Some+ No= Some Not
Some+ Some= No Conclusion
No+ No=No Conclusion
CAT Exam: CAT Previous Year Questions on Syllogism from CAT/ MBA Entrance Exam:
Q1. The following question is given by 2 statements and 2 conclusions numbered I and II. Choose the right answer from the given options. [CMAT]
Statements:
All huts are bungalows.
All bungalows are churches.
Conclusions:
I. Some churches are huts.
II. Some churches are bungalows.
If only conclusion II follows
If either conclusion I or II follows
If only conclusion I follows
If both conclusions I and II follow
Answer: [D]
All + All = All positive conclusions will follow,
Therefore, both I and II will follow.
Q2. If all apples are red, and some apples are juicy, which of the following statements is true? [TISSNET]
All apples are juicy.
Some juicy apples are red.
Some red apples are juicy.
First statement
Second and Third Statement
Third Statement
None of the above
Syllogism questions with Answers: B
Clearly, the second and third statements will follow.
CAT entrance exam: Prerequisite to Syllogism
Set Theory
Venn Diagram
Tips and Tricks for CAT
Two types of conclusions are there:
Definite
Possible
If All A are B; Possibility: Some B is not A.
If Some B is not A; Possibility: All A are B.
If Some A are B; Possibility: All A are B; All B is A.
Consider all the possibilities.
Questions can be solved by either of the following methods:
Venn diagram
Analytical Method
Practice Sample Papers
CAT syllabus 2023: References to Study (Theory) syllogism reasoning
Verbal and Non-Verbal Reasoning by B S Sijwali
Feel Free to Learn (YouTube link: https://www.youtube.com/watch?v=ev2SkXJVAbA&list=PLOoogDtEDyvsBG38tzlj1Zkd0PLxgZwXV)
CAT Exam: References to Practise Syllogism
Verbal and Non-Verbal Reasoning by R S Agrawal.
CAT Previous years Papers and Sample Papers.
Ck CetKing (YouTube; Link: https://www.youtube.com/watch?v=uwfrfzhBkus)
CAT Exam Important Topic: Strategy to Prepare “Parallelism”
CAT Important Basic Concept
Use of the same pattern of words for two or more ideas that have the same level of importance.
CAT Previous Years' Questions on Parallelism
Find the error and correct the sentence
Q1: Most people cope up with anxiety by reaching for food rather then deal with their feelings. {Similar to CAT PYQ]
cope up with anxiety by reaching for food rather than deal with their feelings.
cope up with anxiety by reaching for food rather than dealing with their feelings.
cope with anxiety by reaching for food rather than deal with their feelings.
cope with anxiety by reaching for food rather than dealing with their feelings.
Solution: [D]
‘Cope up with' should be replaced with 'cope with'.
'Rather then' should be 'rather than'.
Also, the parallelism error is there; change 'deal' to 'dealing'.
Q2. Ashok is not only a terrific vocalist, but also great at solving mathematics. [Sample Question]
Ashok is not only a terrific vocalist, but also great at solving mathematics.
Ashok not only is a terrific vocalist, but is also great at solving mathematics.
Not only great at solving mathematics, Ashok also is a terrific vocalist.
Ashok is not only a terrific vocalist, but also a great mathematician.
Also great at solving mathematics, Ashok is a terrific vocalist.
Ans: [D]
Grammar issue presented: Parallelism (correlative pairs)
“Not only…but also” is a correlative pair, so the elements immediately following each conjunction must be parallel.
CAT 2023: Pre-requisite
Sentence Structure
Conjunction and Prepositions
Tips and Tricks for CAT Exam
Know when the parallel structure is required.
Put structurally equivalent words or phrases in the same part of speech.
Put structurally equivalent verbs in the same form.
Use clauses or complete sentences consistently.
Avoid faulty parallelism.
CAT exam: References to Study Theory
Wren and Martin
Rodha (https://www.youtube.com/watch?v=Vnc7Y_l8Hj4)
CAT exam: References to Practice
Verbal Ability for CAT by Arun Sharma and Meenakshi Upadhyay.
CAT Previous years Papers and Sample Papers.
Rodha (youTube; Link: https://www.youtube.com/watch?v=IoZL7ZcuRmQ)
Keep working hard and practicing; Day 36 will be posted tomorrow.
Thank you
All the Best!
Hello aspirant,
Verbal Ability and Reading Comprehension, Quantitative Aptitude, Data Interpretation, and Logical Reasoning make up the majority of the CAT exam 2024 syllabus. The CAT Math, English, and CAT Geometry syllabuses make up the majority of the CAT 2024 syllabus.
To know complete syllabus in detail, you can visit our website by clicking on the link given below
https://bschool.careers360.com/articles/cat-2024
Thank you
Hope this information helps you.
Hello,
In the context of Karnataka's reservation categories, Vishwakarma is classified under Category 2A . Specifically:
Hope it helps !
Hello aspirant,
A bachelor's degree from an accredited university with a CGPA of at least 50% (or an aggregate of 45% for the SC, ST, and PwD/DA categories) is required in order to appear in the CAT exam in 2024. Duration and manner of degree: The course needs to last three years. The mode might be online, distant, or regular.
To know complete information you can visit our website by clicking on the link given below.
Thank you
Hope this information helps you.
Hello student
As a self-employed individual with your own cafe, you'll need to provide documents that establish your business and work experience. Here are some documents you can prepare for your CAT application:
1. *Business Registration Documents*:
- Partnership Deed (already have)
- Business PAN Card (already have)
- FSSAI License (already have, though it's in your partner's name)
2. *Proof of Business Ownership*:
- Affidavit or declaration stating your ownership and role in the cafe
- Business registration certificate (if you have one)
3. *Proof of Work Experience*:
- A letter or certificate from your partner or co-owner confirming your work experience and role in the cafe
- A detailed resume highlighting your entrepreneurial journey and responsibilities
4. *Financial Documents*:
- Income Tax Returns (ITRs) for the last 2-3 years (if applicable)
- Balance Sheets and Profit & Loss statements for your cafe (if audited)
5. *Rental Agreement*:
- Already have, but ensure it's updated and signed
Additional tips:
- Ensure all documents are scanned and uploaded in the required format (usually PDF or JPEG)
- Keep your documents organized and easily accessible for the application process
- Be prepared to provide additional information or clarification if requested by the admission authorities
Remember to check the specific requirements for each B-school you're applying to, as they may vary. Good luck with your CAT application!
Hello aspirant,
The CAT exam syllabus is not officially prescribed, but it generally includes topics from the following sections:
1. Verbal Ability and Reading Comprehension (VARC)
2. Data interpretation and logical reasoning
3. Quantitative ability
Arithmetic
Algebra
Geometry and Mensuration
Number System
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