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Hello CAT 2024 candidates, On November 24, the CAT exam 2024 for MBA admissions 2025–2027 will take place. In this CAT 2024 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 2024.
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This article covers the following topics i.e CAT Permutation and Combination Questions, Syllogism questions and Parallelism strategies for CAT.
CAT Preparation 2024 in 60 days
CAT Exam Important Topic: Strategy to Prepare “Permutations and Combinations (Principle of Counting and Arrangement)” and CAT Permutation and Combination Questions.
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.
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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 2024 Syllabus Topic: Strategy to prepare “Syllogism” (Part-1)
Important Concepts/ Formulas
The syllogism consists of statements and conclusions.
Some Rules:
All+ All=All
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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
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:
Analytical Method
Practice Sample Papers
CAT syllabus 2024: 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 2024: 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!
The CUSAT CAT previous year question papers are available on the Careers360 website. You can find question papers from 2012 to 2023, which can be downloaded in PDF format HERE
Additionally, the official website of Cochin University of Science and Technology (CUSAT) also provides previous year question papers. To access them, you can follow these steps:
- Visit the CUSAT official website - admissions.cusat.ac.in.
- Click on the resources tab from the homepage.
- Select the previous year's question papers from the drop-down menu.
- Select the Common Admission Test (CAT) question papers link.
- Now click on the B.Tech course.
By practicing with these previous year question papers, you can get familiar with the exam pattern, identify important topics, and improve your time management skills.
Hey Shathvika,
Let's dive deep into MBA Entrance Exams (Other than CAT)
1. XAT (Xavier Aptitude Test)
Conducted by: XLRI, Jamshedpur
Eligibility: Bachelor’s degree in any discipline.
Exam Pattern:
- Sections: Decision Making, Verbal & Logical Ability, Quantitative Ability & Data Interpretation, and General Knowledge.
- Duration: 3 hours.
- Marks: No negative marking for General Knowledge.
Key Highlights:
- The Decision-Making section tests analytical and situational judgment skills.
- General Knowledge is evaluated during interviews, not for percentile calculation.
Official Website: https://xatonline.in
---
2. SNAP (Symbiosis National Aptitude Test)
Conducted by: Symbiosis International (Deemed) University
Eligibility: Bachelor’s degree with 50% marks (45% for reserved categories).
Exam Pattern:
- Sections: General English, Quantitative, Data Interpretation & Data Sufficiency, and Analytical & Logical Reasoning.
- Duration: 1 hour.
- Marks: Total 60 marks (MCQs).
Key Highlights:
- Specifically for admission to Symbiosis institutes like SIBM Pune and SCMHRD.
- Easy-to-moderate difficulty level.
Official Website: https://snaptest.org
---
3. CMAT (Common Management Admission Test)
Conducted by: National Testing Agency (NTA)
Eligibility: Bachelor’s degree in any discipline.
Exam Pattern:
- Sections: Quantitative Techniques & Data Interpretation, Logical Reasoning, Language Comprehension, General Awareness, and Innovation & Entrepreneurship.
- Duration: 3 hours.
- Marks: 400 marks.
Key Highlights:
- Accepted by over 1,000 AICTE-approved institutes.
- Includes an optional Innovation & Entrepreneurship section.
Official Website: https://cmat.nta.nic.in
---
4. MAT (Management Aptitude Test)
Conducted by: All India Management Association (AIMA)
Eligibility: Bachelor’s degree in any discipline.
Exam Pattern:
- Sections: Language Comprehension, Mathematical Skills, Data Analysis & Sufficiency, Intelligence & Critical Reasoning, and Indian & Global Environment.
- Duration: 2.5 hours.
- Marks: 200 marks.
Key Highlights:
- Held multiple times a year in PBT, CBT, and IBT modes.
- Accepted by more than 600 MBA colleges in India.
Official Website: https://mat.aima.in
---
5. NMAT (NMIMS Management Aptitude Test)
Conducted by: Graduate Management Admission Council (GMAC)
Eligibility: Bachelor’s degree with 50% marks.
Exam Pattern:
- Sections: Language Skills, Quantitative Skills, and Logical Reasoning.
- Duration: 2 hours.
- Marks: 360 marks.
Key Highlights:
- Allows three attempts, with the best score considered.
- Accepted by NMIMS and partner universities worldwide.
Official Website: https://www.mba.com/exams/nmat
---
6. IIFT (Indian Institute of Foreign Trade)
Conducted by: National Testing Agency (NTA)
Eligibility: Bachelor’s degree (final-year students can also apply).
Exam Pattern:
- Sections: Quantitative Analysis, Reading Comprehension & Verbal Ability, Logical Reasoning & Data Interpretation, and General Knowledge.
- Duration: 2 hours.
- Marks: 300 marks.
Key Highlights:
- Specifically for IIFT’s flagship MBA in International Business.
- General Knowledge plays a significant role in shortlisting.
Official Website: https://iift.nta.nic.in
---
7. TISSNET (Tata Institute of Social Sciences National Entrance Test)
Conducted by: Tata Institute of Social Sciences
Eligibility: Bachelor’s degree.
Exam Pattern:
- Sections: English Proficiency, Mathematics & Logical Reasoning, and General Awareness.
- Duration: 100 minutes.
- Marks: 100 marks.
Key Highlights:
- Focused on social sciences, HRM, and public policy programs.
- General Awareness is crucial (with emphasis on current affairs).
Official Website: https://admissions.tiss.edu
---
8. MICAT (MICA Aptitude Test)
Conducted by: MICA, Ahmedabad
Eligibility: Bachelor’s degree and a valid CAT/XAT/GMAT score.
Exam Pattern:
- Sections: Psychometric Test, Verbal Ability, Quantitative Ability, General Awareness, Divergent-Convergent Thinking, and Descriptive Test.
- Duration: 2.5 hours.
Key Highlights:
- Psychometric Test is a qualifying section.
- Specifically for MICA’s flagship PGDM-C program in Strategic Marketing and Communications.
Official Website: https://www.mica.ac.in
---
9. GMAT (Graduate Management Admission Test)
Conducted by: Graduate Management Admission Council (GMAC)
Eligibility: No specific eligibility; bachelor’s degree recommended.
Exam Pattern:
- Sections: Analytical Writing, Integrated Reasoning, Quantitative Reasoning, and Verbal Reasoning.
- Duration: 3 hours 7 minutes.
- Marks: 800 (scaled score).
Key Highlights:
- Globally recognized for MBA programs.
- Popular for Indian B-schools like ISB, SPJIMR, and Great Lakes.
Official Website: https://www.mba.com
---
10. MAH-CET (Maharashtra Common Entrance Test)
Conducted by: Maharashtra State CET Cell
Eligibility: Bachelor’s degree with a minimum of 50% marks (45% for reserved categories).
Exam Pattern:
- Sections: Logical Reasoning, Abstract Reasoning, Quantitative Aptitude, and Verbal Ability & Reading Comprehension.
- Duration: 2.5 hours.
- Marks: 200 marks (MCQs).
Key Highlights:
- Accepted by top Maharashtra B-schools like JBIMS, SIMSREE, and PUMBA.
- Known for its speed-intensive nature with 200 questions in 150 minutes.
Official Website: https://cetcell.mahacet.org
Let me know if you have any doubts regarding a specific exam or any other query.
Have a nice day !!
Hello Ayush,
K.R. Mangalam University utilizes a blend of MCQs, descriptive formats, and practical assessments to evaluate student performance. The continuous evaluation system ensures that students are assessed regularly throughout the semester, contributing to a more comprehensive understanding of their academic progress.
Hello,
Here are some simple tips to prepare for the CUSAT CAT exam:
1. Focus on Physics, Chemistry, and Maths (PCM).
2. Give equal time to all subjects.
3. Use NCERT Books as they are best for basics.
You can refer to following study materials for better practice :-
Hope it helps !
Hello there,
Yes, you can apply for CAT examination after completion of Doctor of Pharmacy (Pharm D) .
The Common Admission Test (CAT) has no restrictions regarding your educational background thus allowing you to submit your application following your completion of a Pharm. D degree.
The Common Admission Test permits candidates to take the exam after completing any undergraduate degree without any restrictions to the area of study. The professional doctoral degree of Pharm. D (Doctor of Pharmacy) functions as an equivalent to bachelor's level for CAT eligibility recognition.
Therefore, Candidates who received their Pharm. D degree can pursue the CAT exam application process based on their qualification standards.
Hope this will help!
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