# CAT Set Theory Questions: Concepts, Formulae, Books, Download Set Theory CAT Questions PDF

By BYJU'S Exam Prep

Updated on: September 13th, 2023

**CAT Set Theory Questions** are asked under the topic of Modern Mathematics in the QA section of CAT. Practising Set Theory CAT Questions will help the candidates to solve questions on Venn Diagram easily. Generally, 1-2 questions are asked from CAT Set Theory Questions.

If the candidates solve Set Theory CAT Questions, they will be able to score well in the QA. The difficulty level of CAT Set Theory Questions is moderate-difficult. In this article, BYJU’S Exam Prep experts have mentioned all the details related to CAT Set Theory Questions, including concepts, formulas, topics and many more. The candidates who are preparing for the upcoming exam must note all these details to score well.

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**CAT Set Theory Questions** are asked under the topic of Modern Mathematics in the QA section of CAT. Practising Set Theory CAT Questions will help the candidates to solve questions on Venn Diagram easily. Generally, 1-2 questions are asked from CAT Set Theory Questions.

If the candidates solve Set Theory CAT Questions, they will be able to score well in the QA. The difficulty level of CAT Set Theory Questions is moderate-difficult. In this article, BYJU’S Exam Prep experts have mentioned all the details related to CAT Set Theory Questions, including concepts, formulas, topics and many more. The candidates who are preparing for the upcoming exam must note all these details to score well.

**What are Set Theory Concepts for CAT?**

Set theory is an important topic for CAT Preparation. CAT Set theory Questions concepts are most interesting, and it is also helpful to solve the questions asked in the data interpretation and logical reasoning section. The candidates should expect a few CAT Set Theory Questions, which mainly deal with graphs and properties.

Clearing Set Theory Questions for CAT will enhance your accuracy level in exams. Hence, the candidates must pay attention to graphs, concepts, and properties related to CAT Set theory Questions. As per the previous year’s CAT Analysis, the set theory contains a good weightage in the CAT Exam. So it is important for all the candidates to make the best preparation for Set Theory Questions for CAT.

**Important Set Theory Formulae for CAT**

Note the section below to get a list of all the important formulas which are required to solve CAT Set Theory questions.

- COMMUTATIVE LAWS: A B = B A, A ∩ B = B ∩ A
- ASSOCIATIVE LAWS: (A B) C = A (B C), (A ∩ B) ∩ C = A ∩ (B ∩ C)
- DISTRIBUTIVE LAWS: A (B ∩ C) = (A B) ∩ (A C), A ∩ (B C) = (A ∩ B) (A ∩ C)
- IDENTITY LAWS: A = A, A ∩ U = A
- COMPLEMENT LAWS: A A
^{c}= U, A ∩ A^{c}= - DE MORGAN’S LAW: (A B)
^{C}= A^{C}∩ B^{C}, (A ∩ B)^{C}= A^{C}B^{C}

**CAT Set Theory Questions: Types of Set**

The Set Theory Questions for CAT are divided into many types based on the elements or types of elements. In order to grasp more clearly, let’s have a look at the various sorts of sets that are mentioned below. Basic CAT Set Theory questions mainly describe the below sets:

Finite set: The number of elements is finite

- Infinite set: The number of elements is infinite
- Empty set: It has no elements
- Singleton set: It has one only element
- Equal set: Two sets are equal if they have the same elements
- Equivalent set: Two sets are equivalent if they have the same number of elements
- Power set: A set of every possible subset.
- Universal set: Any set that contains all the sets under consideration.
- Subset: When all the elements of set A belong to set B, then A is a subset of B

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**Set Theory CAT Questions PDF**

CAT Set Theory Questions are commonly asked in the exam. Candidates can expect 1-2 questions from Set Theory in CAT. To get a better understanding of the types of CAT Set Theory Questions asked, the candidates should practice as many questions as possible. Aspiring candidates can check the below given Set Theory CAT Questions PDF:

**☛ ****Download Set Theory Questions for CAT Preparation**

**Practice Set Theory CAT Questions**

Practising CAT Set Theory Questions will help the candidates to understand the type of questions asked. The candidates should be thorough with basic concepts of Set Theory Concepts for CAT in order to solve questions accurately. Candidates can check below some sample questions for CAT Set Theory:

**Question 1:Set P comprises all multiples of 4 less than 500. Set Q comprises all odd multiples of 7 less than 500, Set R comprises all multiples of 6 less than 500. How many elements are present in {P ∪ Q ∪ R}?**

- A) 202
- B) 243
- C) 228
- D) 18

**Answer: A**

**Question 2: 95% of the students in a class have taken Marketing, 80% have chosen Finance, 84% have chosen operations (ops), and 90% have chosen Human Resources (HR). What is the maximum and minimum percentage of people who have chosen all of the four?**

- A) 80% and 56%
- B) 95% and 53%
- C) 80% and 49%
- D) 80% and 51%

**Answer: C**

**Question 3: Set A = {2, 3, 5, 6, 7}, Set B = {a, b, c}. How many onto functions can be defined from Set B to Set A?**

- A) 2
- B) 3
- C) 4
- D) None of the above

**Answer: D**

**Question 4: A class in college has 150 students numbered from 1 to 150, in which all the even-numbered students are doing CA, whose number are divisible by 5 are doing Actuarial and those whose numbers are divisible by 7 are preparing for MBA. How many of the students are doing nothing?**

- A) 37
- B) 45
- C) 51
- D) 62

**Answer: C**

**Question 5: In a survey conducted to know people’s preference for android phones and I phones, 80 people preferred android phones, while 60 people preferred I phones. There were 20 who liked both and may prefer any. If there was no one who didn’t prefer at least one of the phones, then on how many people was the survey conducted?**

- A) 120
- B) 40
- C) 80
- D) 60

**Answer: A**

**How to Prepare for CAT Set Theory Questions?**

Set Theory CAT Questions also help the candidates to solve Venn Diagram CAT Questions easily. Therefore, practising CAT Set Theory Questions will help the candidates to solve both Set Theory and Venn Diagram Questions. The candidates should know proper tips and tricks to solve Set Theory CAT Questions. Below are so,e tricks and tips to prepare for CAT Set Theory Questions.

- The candidates should thoroughly know the basic Set Theory formulas for CAT.
- The candidates should know all the types of sets in order to answer the CAT Set Theory Questions.
- Practising previous year’s papers and mock tests will help to know what type of Set Theory CAT Questions are asked.