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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
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
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In the above example it is 5.
Types of Sets:
Null/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}
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
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
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!
Hello Ashish,
Yes, you can get admission to MBA programs at IISWBM without a CAT score, but only for certain courses. Note that IISWBM has MBA programs under the University of Calcutta and flagship courses like MBA (Day) or MBA-HRM typically require a CAT score. Other programs like the PGDM or Executive MBA/Course may have other entrance examinations on which consideration would be made, or considerations may be based on merit, and of course work experience. Always run any eligibility detail checks with the official IISWBM (https://www.iiswbm.edu/) website or The IISWBM prospectus.
Hello,
Yes, a state (Delhi) NC-OBC certificate is valid for CAT 2025 , but it must be in the central government format (for appointment to posts under Government of India).
Also, it should be issued after 31st March 2025, as required by IIMs. If your certificate meets these conditions, it will be accepted.
Hope it helps !
Hello aspirant,
With 375 marks and an AIR of around 2.6 lakh in NEET 2025, getting admission to Ayurvedic & Unani Tibbia College (AUTC), New Delhi under the state quota is quite difficult. The cutoffs for government BAMS seats in AUTC generally stay below AIR 50,000, especially for the General and EWS categories. Your score may not meet the cutoff in the first or second rounds, but you might still have a slim chance in the mop-up or stray vacancy rounds, depending on how many seats remain and how other candidates opt. If you're a Delhi domicile and have all your documents ready, you should definitely apply and fill AUTC as a top choice. It’s also good to keep backup options in other AYUSH colleges open.
GIBS Business School in Bangalore accepts multiple national and state-level entrance exam scores for admission to its PGDM program. You can apply using scores from exams like CAT, MAT, XAT, CMAT, GMAT, ATMA, or various state-level CETs.
The admission process typically considers your entrance exam score along with your academic record, performance in the group discussion and personal interview, and any work experience you may have. For the BBA program, admissions are generally based on your Class 12 marks and do not require entrance exam scores.
If you're planning to apply, it's a good idea to keep your exam score, academic documents, and personal statement ready for the selection rounds.
If your son’s first preference is CSE, then Amrita Bangalore clearly leads among the three, simply because CSE opens more doors in terms of placements, internships, and future-proof careers. Amrita is also NAAC A++ and has a strong reputation, especially for CSE. Category 2 is also manageable fee-wise compared to higher categories.
VIT Chennai is a decent campus, and their ECE program is solid, but Category 5 means much higher fees and very low chance of branch upgrade later. CSE at VIT Chennai would have been more competitive here — but ECE at that fee tier is not as strong a deal unless your son has a strong interest in core electronics.
Manipal Bangalore (MIT Bengaluru campus) is a newer campus. ECE there is still developing in terms of placements and faculty compared to the main Manipal campus. Unless your son strongly prefers Bangalore or is getting some advantage here like scholarships or internship access, it doesn't stand out above Amrita.
So, recommendation: Go with Amrita Bangalore CSE (Category 2). It balances a strong branch with a decent campus and better long-term potential in the tech industry. If your son is open to core electronics and you’re okay with the higher cost, VIT Chennai is fine, but still comes second to CSE at Amrita.
All the best!
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