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CAT Prodigy: Nailing Set Theory, Mathematical Grids, and Depth understanding of Idioms & Phrases- Day 50
Edited By Irshad Anwar | Updated on Sep 19, 2024 10:31 AM IST | #CAT
Hello, aspiring CAT 2024 candidates, The CAT exam 2024, scheduled for November 24 in preparation for MBA admissions for session 2025 - 2027, will release its admit card soon. In the continuation of the CAT 2024 60 days preparation guide series of Careers360, on day 50 we will discuss the strategies for Set Theory questions for the CAT exam, problems on grids and idioms and phrases for CAT 2024 that can help you prepare well and crack the CAT entrance test 2024. Students can download the Set Theory CAT Questions pdf.
This article mainly includes Set theory for CAT exam, Solved set theory questions, Venn diagram CAT questions, Maths Grid Quadrants and Idioms for MBA exam.
CAT Preparation 2024 in 60 days
Part-1: Quantitative Aptitude for CAT exam
Important Concepts/Formula Used in Set Theory Questions for CAT. CAT questions on grid Puzzle with solutions are given below:
Concepts are Formulas Used in set theory for CAT exam are given below:
Set Notation
Ex: Set of Even numbers between 1 to 10
S = {2, 4, 6, 8, 10}
Cardinality of Set: number of elements in a set
In the above example it is 5.
Types of Sets:
CAT 2024 College Predictor
Know Your Chances for getting Calls from IIMs & other Top MBA Colleges through CAT Percentile, based on your category, academic profile, work-ex & CAT result.
Use NowNull/Empty Set: does not contain any element i.e. { }
Singleton Set: contains one element only.
Finite Set: elements in that set are finite.
Ex: S = {2, 4, 6, 8, 10}
Infinite Set: elements are not finite whether countable or Uncountable.
ex, A = {x: x Є N}
Subset of A Set: B = {1,2} and S = {1, 2, 3, 4, 5}; B is a subset of S.
Equal Sets: Contain the same number of elements.
Universal Set: Contain all the objects.
CAT Set theory questions , Union and Intersection
Union of Sets: A = {1, 2} and B = {2, 3, 4}, then
AᴜB = {1, 2, 3, 4}
Intersection of Sets: A = {1, 2} and B = {2, 3, 4}, then A∩B = {2}
Complement of a set: If U = {1, 2, 3, 4, 5} and A = {1, 2}, then A’ = {3, 4, 5}
CAT Previous Year Questions on Set Theory (CAT past year venn diagram questions):
Q1. For two sets A and B, let AΔB denote the set of elements that belong to A or B but not both. If P = {1,2,3,4}, Q = {2,3,5,6,}, R = {1,3,7,8,9}, S = {2,4,9,10}, then the number of elements in (PΔQ)Δ(RΔS) is [CAT 2018, slot 2]
7
8
9
6
Set theory questions CAT with solutions are given below:
Solution: [1]
The following Venn diagram best represents AΔB
Therefore, AΔB = AUB - A∩B
So, PΔQ = PUQ - P∩Q = {1, 4, 5, 6}
And RΔS = RUS - R∩S = {1, 2, 3, 4, 7, 8, 10}
Then, (PΔQ)Δ(RΔS) = (PΔQ)U(RΔS) - (PΔQ) ∩ (RΔS) = {2, 3, 5, 6, 7, 8, 10}
So, the number of elements in (PΔQ)Δ(RΔS) = 7.
Q2. Set theory MCQ is given below:
A club has 256 members of whom 144 can play football, 123 can play tennis, and 132 can play cricket. Moreover, 58 members can play both football and tennis, 25 can play both cricket and tennis, and 63 can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is [CAT 2019, Slot 1]
32
43
38
45
Set theory questions CAT with solutions are given below:
Answer: [2]
n(FUTUC) = 256; n(F) = 144; n(T) = 123; n(C) = 132; n(F∩T) = 58; n(C∩T) = 25; n(F∩C) = 63
Also, we know that
We know that (AUBUC) = n(A) + n(B) +n(C) - n(A∩B) - n(B ∩C) - n(C∩A) + n(A ∩B∩C)
So, 256 = 144 + 123 + 132 - 58 - 25 - 63 + n (F T ∩C)n (F∩T∩C) = 256 - 253 = 3
So, number of students who play Table Tennis only = n(T) – n(F∩T) – n(T∩C) + n(F∩T∩C)
number of students who play Table Tennis only = 123 – 58 – 25 + 3 = 43
CAT Exam Important Topic: Strategy to Prepare CAT: Set Theory and Set Theory Questions for CAT.
Find the tips and trick of set theory for CAT exam below:
Learn the laws of Algebra (for SET)
AUB = BUA
A∩B = B∩A
(AUB)UC = AU(BUC)
(A∩B)∩C = A∩(B∩C)
AU(B∩C) = (AUB)∩(AUC)
A∩(BUC) = (A∩B)U(A∩C)
AᴜU = A
A∩U = A
AUA’ = U
A∩A’ = { }
Use a Venn diagram while solving the questions.
Learn the concept of Boolean Algebra.
Practice Previous Years Set Theory CAT Questions to get an idea of questions.
CAT entrance exam: Prerequisite to CAT Set Theory
You must be well aware of the following before solving set theory questions for competitive exam:
Boolean Algebra
References to Study (Theory) CAT Set Theory
Study below given resources for set theory questions for competitive exam:
NCERT Mathematics Class 11 and 12
How to Prepare Quantitative Aptitude by Arun Sharma (7th Edition)
CAT study material: References to Practice CAT Questions on Set Theory
CAT Exam 2024: Set Theory
Quantitative Aptitude by R S Agrawal.
Easy Ganit: YouTube (https://www.youtube.com/watch?v=fi8YO7k1trY)
Practice Sample Papers on Solved Set Theory Questions
Part-2: CAT 2024 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)
CAT 2024 Syllabus Topic: Strategy to prepare “Mathematical Grid” for CAT
Important Concept/Formula Used in Problems on Grids
These questions are basically the application of topics such as Arrangement, Permutation and Combination, Average. So, students must have a higher degree of understanding of these.
Grid-ins Sample Question Based on CAT Previous Years Questions:
In an 8 X 8 chessboard, a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece. The columns are labelled a to h (left to right) and the rows are numbered 1 to 8 (bottom to top). The position of a piece is given by the combination of column and row labels. For example, position c5 means that the piece is in the cth column and 5th row.
Q1) Grid-ins Sample Question is given below:
If the queen is at c5, and the other pieces are at positions c2, g1, g3, g5 and a3, how many are under attack by the queen? There are no other pieces on the board.
2
3
4
5
Ans: [C]
According to given question Queen can move UP, DOWN, LEFT, RIGHT and DIAGONALLY so Queen positioned in the above matrix it can attack L1, L4, L2 and L5 as well so only 4 positions are under attack.
Q2) CAT questions on grid puzzles are given below:
If the other pieces are only at positions al, a3, b4, d7, h7 and h8, then which of the following positions of the queen results in the maximum number of pieces being under attack?
f8
a7
c1
d3
Ans: [D]
According to the given question, we need to position Queen such that she can attack the maximum number of fighters. So, the trick is to use each option one by one and you will find that D3 is the only option in which we attack 3 fighters and on the rest options, Queen can attack at max 2 fighters. So, the answer must be D3.
Tips/Tricks for CAT math grid quadrants
Solve as much Sudoku as possible
Solve puzzles books like Shakuntla Devi, George Summer’s
Solve Arrangement Reasoning Puzzles
Formulae related to Permutation &Combination and Averages must be thoroughly covered before attending these types of questions
CAT entrance exam: Pre-requisite
Sudoku
References to CAT Study (Theory)math grid quadrants
LRDI by Nishit K. Sinha
CAT Funda (YouTube link: https://www.youtube.com/watch?v=z69ElNGKPFs)
Quantifiers cat Academy https://www.youtube.com/watch?v=DARbWHBZiv4
References to Study (Practice) Problems on Grids
Cat Wordpandit Website
MBA Entrance Previous years Papers and Sample Papers.
Cat Pepration-iquanta https://www.youtube.com/watch?v=aizuiNK9BW4
Part-3: CAT Exam Preparation 2024: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)
CAT Exam Important Topic: Strategy to Prepare “Idioms and Phrases” (Part-2) for CAT 2024 exam
Students can download the following for more practice tests idioms and phrases for CAT exam pdf
Previous Years Questions on Idioms and Phrases for MBA exams
Tips and tricks for idioms and phrases using CAT previous years questions are given below:
Q1. Idioms for MBA exam are given below:
She took one of the cookies, but I turned a blind eye.
To condemn someone
To overlook
To ignore something wrong
To protest against something right
To become blind after meeting an accident
Ans. Option C
Explanation: to “turn a blind eye” to something means to pretend not to have noticed it.
Idioms Trick: Eliminate wrong options
Option D and E is wrong according to the context of the sentence.
A can be eliminated as condemning has to do nothing with the meaning.
Option B and option C are close but if you closely look at option B, the word overlook means to fail something and blind eye means to ignore hence option C is correct.
Q2. Idioms for MBA exam are given below:
Yesterday’s test was a piece of cake:
Very Sweet
Very Tough
Contains many questions
Very Easy
Ans: D
Explanation:
Idioms Trick: See the context of Idiom
As a piece of cake is very easy to cut and eat, in the same context this idiom signifies that something that is very easy for you.
Q3. Phrases for mba exam are given below:
In the sentence below, replace the phrase underlined to make the sentence grammatically correct. If the sentence is correct, mark (d) i.e. “No correction required” is the answer.
Whether I stay in Delhi or Gurugram, it is all and one to me.
all but one
all one
one and all
No correction required
Ans: [b]
CAT Trick on Phrases: See the context of Phrase
Here Delhi or Gurugram makes no difference to me. Therefore, ‘all one’ will be the right choice.
Q4. In the following question, an idiom or proverb has been highlighted. Choose its correct meaning in the given context from the alternatives given below.
Rani played a cat-and-mouse game with all her friends.
Rani played a game
Rani had a cat
Her friends gave her cats and mice
She played like a cat with her friends who were all mice
Ans: [a]
CAT Trick: See the meaning of the Idiom and the context in which it is used
‘Cat and Mouse’ game means ‘to play a trick’. Option ‘a’ seems to be the best choice.
CAT 2024: Pre-requisite to Idioms and Phrases
The basic idea of sentence structure.
Good Vocabulary.
References to Study (Theory) idioms for CAT 2024 exam
200 Practical English Idioms by Alex Makar
Knowation (YouTube: https://www.youtube.com/watch?v=trft83xQqyM)
References to Practice idioms and phrases questions for CAT exam
200 Practical English Idioms by Alex Makar
engvid.com (Web)
Ck cetking (YouTube: https://www.youtube.com/watch?v=XOJo60Jteb8)
Practice and remain focused; Day 51 will be posted tomorrow.
Thank you!
All the Best!
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Questions related to CAT
Have a question related to CAT ?
Hello,
Here are important points regarding your query :-
- Opportunity for candidates: IIM Kashipur might be inviting candidates for further consideration, regardless of initial CAT scores.
- Broadening applicant pool: They may aim to review diverse profiles beyond just percentile.
- Different criteria: Other factors like academic performance, work experience, and diversity may contribute to the decision.
- Possibility of screening: The email could be a formality, and actual shortlisting will depend on various selection criteria.
- No guarantee of shortlist: The invitation doesn’t ensure selection; many institutes offer preliminary applications before filtering through comprehensive evaluations.
Hope it helps !
Prachi Kumari 13 January,2025
Hi,
Based on the previous year analysis, According to your CAT 2024 percentile some of the colleges in which you have chances to get a seat includes:
- ISBR Business School
- SOIL Institute of Management
- Birla Institute of Management Technology
- GD Goenka University
- The ICFAI University
- Great Lake Institute of Management
- Jaipur National University
You can predict more colleges using the CLAT 2024 college predictor tool .
Hope this information will help you
Devraj 12 January,2025
Hello Greetings
With a CAT 2024 percentile of 68.28%, you may face a challenging time getting into IIT Delhi, as their cutoffs are typically higher. However, being an SC female student, you may be eligible for relaxation in the cutoff criteria .
To give you a better idea, here are some general CAT cutoff percentiles for IITs and other top B-schools:
- *IIT Delhi*: Typically above 90 percentile for general category students.
- *Newer IIMs*: Such as IIM Vishakapatnam, IIM Shillong, and IIM Udaipur, may have lower cutoffs, around 80-90 percentile.
- *Other top B-schools*: Like IMT Ghaziabad, XIM Bhubaneswar, and TAPMI, may also consider students with lower percentiles.
It's essential to note that CAT cutoffs can vary from year to year, and other factors like your academic background, work experience, and performance in the personal interview (PI) and written ability test (WAT) also play a significant role in the admission process.
To explore more options and predict your chances of getting into various colleges, you can use online CAT college predictor tools .
Have a great day
Sakshi Badoni 09 January,2025
Hello Greetings
Considering your 82.58 percentile in CAT and 22 months of industry experience in IT and Financial analysis, you have several options for General Management PGDM or PGPM programs.
*Decent Colleges Accepting Low CAT Percentile:*
- _SPJIMR_: Offers PGDM and PGPM programs, accepting CAT scores, with a minimum eligibility criterion of 50% aggregate in graduation ¹ ².
- _SOIL_: Provides PGPM and PGDM programs, considering CAT scores, with a focus on experiential learning ³.
- Other institutes like _IMT Ghaziabad_, _XIMB_, and _IRMA_ might also accept candidates with lower CAT percentiles, but this may vary depending on the program and intake.
*Key Factors to Consider:*
- _Work Experience_: With 22 months of experience, you might be eligible for PGPM programs, which typically require more work experience than PGDM programs ¹.
- _Career Gap_: Explain your career gap effectively in your application, highlighting any relevant activities or skills gained during that period.
- _Profile-Based Selection_: Some institutes consider profiles, including work experience, academic background, and extracurricular activities, in addition to CAT scores ¹.
*Next Steps:*
1. Research the institutes mentioned above and their programs.
2. Review the eligibility criteria, admission process, and fees for each program.
3. Prepare your application, ensuring you effectively communicate your strengths, work experience, and career goals.
4. Be prepared for interviews, focusing on your profile, experience, and motivation for pursuing a PGDM or PGPM program.
Remember, a lower CAT percentile doesn't necessarily limit your options. Focus on showcasing your strengths, experience, and fit with the program to increase your chances of admission.
Have a great day
Sakshi Badoni 09 January,2025
Hi Gaurav,
The Common Admission Test (CAT) is a national-level management entrance exam conducted annually in India for admission into MBA/PGDM programs at prestigious institutions like the Indian Institutes of Management (IIMs) and other top B-schools.
For registering for CAT 2025, you can follow the given steps:
- Visit the Official Website: Go to https://iimcat.ac.in .
- Register: Provide your name, email, date of birth, and mobile number. Receive a User ID and Password via email/SMS.
- Log In: Use the credentials to log in to the application portal.
- Fill the Form: Enter personal, academic, and work details. Choose IIM programs and exam city preferences.
- Upload Documents: Upload a passport-sized photo, signature, and relevant certificates (SC/ST/OBC/EWS/PwD if applicable).
- Pay Fee: Pay 2,400 (General/EWS/OBC) or 1,200 (SC/ST/PwD) online.
- Submit and Save: Complete the form and download a copy for future reference.
For more recent details, you can check out the given link.
Best wishes!
gitika yadav 05 January,2025
Popular CAT Questions
Directions for question :
M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.
Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.
The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :
It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired.
Question :
In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?
Option: 1
September 2020
Option: 2
May 2021
Option: 3
January 2021
Option: 4
January 2022
Directions for question:
The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :
Question:
What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?
Option: 1 None
Option: 2 None
Option: 3 None
Option: 4 None
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