- Sequential Output Tracing (Input Output)
- Syllogism
- Critical Reasoning: Assumptions & Conclusions
- Relationships
- Cause & Effect
- Circular Arrangement
- Coding-Decoding
- Complex Arrangements
- Critical Reasoning: Course of Action
- Critical Path
- Direction and Word Puzzle
- Games And Tournaments
- Linear Arrangement
- Team Selection
- Venn Diagram
- Bar Graphs
- Data Sufficiency
- Line Graph
- Pie Chart
- Tables and Caselets

Set theory or venn diagram is a topic which falls under the logical reasoning side of any entrance exam. In these sets of questions, inter-mingled situations are given out of which repetitive situations need to be identified & eliminated in order to find the missing data.

Set theory and Venn Diagrams are one of the most commonly tested topics in MBA exams. Questions from the Set theory have appeared consistently in the CAT, XAT, GMAT exam for the last several years. Set theory and Venn diagram is a very interesting topic, as it is also useful in Data Interpretation and Logical Reasoning

Set Theory | ||||

Year | Slot | No of Questions | Good attempt | Difficulty |

2019 | Slot 1 | 4 | 2 | Moderate |

Slot 2 | 3 | 2 | Difficult | |

2018 | Slot 1 | 4 | 4 | Easy |

Slot 2 | 4 | 3 | Moderate | |

2017 | Slot 1 | 4 | 3 | Easy |

Slot 2 | 4 | 3 | Easy |

Year | No of Questions | Good attempt | Difficulty |

2019 | 2 | 2 | Moderate |

2018 | 1 | 1 | Easy |

2017 | 3 | 2 | Moderate-Difficult |

IIFT Exam:

Year | No of Questions | Good attempt | Difficulty |

2019 | 3 | 2 | Moderate |

2018 | 1 | 1 | Moderate |

2017 | 2 | 1 | Difficult |

1. What is the union of sets?

The union of two sets is a set containing all elements that are in AA or in BB (possibly both). For example, {1,2}∪{2,3}={1,2,3}{1,2}∪{2,3}={1,2,3}. Thus, we can write x∈(A∪B)x∈(A∪B) if and only if (x∈A)(x∈A) or (x∈B)(x∈B).

2. What is the intersection of sets?

The intersection of two sets AA and BB, denoted by A∩BA∩B, consists of all elements that are both in AA and−−−and_ BB. For example, {1,2}∩{2,3}={2}{1,2}∩{2,3}={2}.

3. What is the complement of set?

The complement of a set AA, denoted by AcAc or A¯A¯, is the set of all elements that are in the universal set SS but are not in AA.

4. What is disjoint sets?

Two sets AA and BB are mutually exclusive or disjoint if they do not have any shared elements, i.e., their intersection is the empty set, A∩B=∅A∩B=∅. More generally, several sets are called disjoint if they are pairwise disjoint, i.e., no two of them share a common element.

The Venn diagram for this problem looks like this.

Every student is learning at least one language. Hence there is no one who fall in the category‘neither’.

So in this case, n(EᴜF) = n(µ).

It is mentioned in the problem that a total of 18 are learning English. This DOES NOT mean that 18 are learning ONLY English. Only when the word ‘only’ is mentioned in the problem should we consider it so.

Now, 18 are learning English and 8 are learning both. This means that 18 – 8 = 10 are learning ONLY English.

n(µ) = 30, n(E) = 10

n(EᴜF) = n(E) + n(F) – n(E∩F)

30 = 18+ n(F) – 8

n(F) = 20

Therefore, total number of students learning French = 20.

2. Set Fn gives all factors of n. Set Mn gives all multiples of n less than 1000. Which of the following statements is/are true? **(CAT 2019, Slot 1)**

a. F108 ∩ F84 = F12

b. M12 ∪ M18 = M36

c. M12 ∩ M18 = M36

d. M12 ⊂ (M6 ∩ M4)

• a, b, and c only

• a, c and d only

• a and c only

• All statements are true

F108 ∩ F84

This is the set of all numbers that are factors of both 108 and 84

=> this is set of all common factors of 84 and 108

=> this is set of numbers that are factors of the Highest Common Factor of 84 and 108.

HCF (84, 108) = 12

F108 ∩ F84 = F12 – this is true

M12 will have numbers {12, 24, 36, 48, ….} Numbers like 12, 24, … will not feature in M36. So, Statement B cannot be true.

M12 ∩ M18 – this is the set of all common multiples of 12 and 18.

This is the set of numbers that are multiples of the Least Common Multiple of 12 and 18. (which is 36).This statement is also true. iv. Using the same logic as that used in statement iii, we can determine that statement iv is also true. Remember that every set is a subset of itself.

3. In a class 40% of the students enrolled for Math and 70% enrolled in Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects? (SNAP 2019)

a) 5%

b) 15%

c) 0%

d) 25%

We know that (A U B) = A + B – (A n B), where (A U B) represents the set of people who have enrolled for at least one of the two subjects, Math, or Economics and (A n B) represents the set of people who have enrolled for both the subjects, Math, and Economics.

(A U B) = A + B – (A n B) => (A U B) = 40 + 70 – 15 = 95%

That is 95% of the students have enrolled for at least one of the two subjects, Math, or Economics.

Therefore, the balance (100 – 95) % = 5% of the students have not enrolled for either of the two subjects.

4. In a survey it was found that 10% people don’t use Facebook, Twitter or Whatsapp. 8% uses all the three. There are 15% who uses Facebook and Twitter, 20% who use Twitter and Whatsapp and 20% who use Facebook and Whatsapp. The number of people that use only Facebook, only Twitter and only Whatsapp is equal. If the survey was conducted on 1000 people, answer the following:

What is the ratio of a number of people that uses Whatsapp only to the people using either Whatsapp or Facebook or both? **(CAT 2019, Slot 2)**

a) 1/6

b) 25/75

c) 1/9

d) 1/3

Let the no. of people that use only Facebook = only Twitter = only Whatsapp = x

Let’s construct of Venn diagram:

From the figure we can see that x + x + x + 8 + 20 + 20 + 15 + 10 = 100

=) 3x = 100 – 73

=) x = 27/3 = 9

Thus the of no people who use Whatsapp only = 9% or 9 x 1000/100 = 90

% of people that use Whatsapp only = 9

% of people that use either Whatsapp or Facebook or both = 20 + 20 + 8 + 9 + 9 +15 = 81 Thus the ratio = 9/81=1/9

• List out the formula related to the topic and focus on understanding the fundamentals and application. For this, we recommend using the MBAP CAT E-Book (Concept Theory) study material.

• Break down the steps and simplify the process to understand a question. Also, practice almost 50-60 questions each for a particular concept. If you find difficulty understanding the concepts, use the MBAP Live Lecture Recording (Basic) on Basic Concepts.

• Always look for a definite answer. To get better clarity on Set Theory, use MBAP CAT E-Book (Practice Questions) and solve all the relevant practice questions. Also, solve the MBAP lecture assignment to complete the basics.

• Watch tutorials for a better understanding.

• Practicing is the only way to master the Set Theory topic.

• Understand the concepts and learn how to apply them in different applications.

• It will be way easier for you to attempt the questions by solving previous year papers. They are all readily available if you use MBAP Topic Wise Previous Year CAT Questions.

Counselling Session

By IIM Mentor

- MBA Entrance Exams: GK Section Preparation For IIFT, CMAT, XAT, TISS And Other
- CMAT 2019 Exam Analysis
- How to decide which colleges to apply through SNAP?
- What is MAT Exam 2021 about: Everything Under One Roof!
- Narsee Monjee Institute of Management Studies (NMIMS)
- IPM (5-Year Integrated Programme) vs CAT (2 Years Regular MBA) - A Comparative Analysis
- Prepare for CAT Exam Again or Settle for Tier 2 B-school? Pros and Cons
- MAHCET: Latest Exam Pattern, CET Exam Date and more

Read More

During my CAT preparation, I enrolled at MBA Pathshala for classroom coaching. Abhijit Sir & Haider Sir guided me through the process of planning & executing the strategies I had to use to succeed in the test. I received regular feedback on my progress during the GD and PI preparations after CAT. I received calls from IIMs, SPJIMR, and MDI. MBAP played a huge role in this, and I cannot thank them enough for their efforts.

Read More

MBAP is a great place to prepare for MBA-CET, CAT, and CMAT, and the faculty are unbeatable. Most importantly, they pay personal attention to each student. Most faculty members come from IIMs. One-on-one interaction helped me improve as the exams approached, as well as get calls from IIMs I, S, and all New and Baby IIMs. Interview sessions were very beneficial for me to convert IIM S.

Read More

I am glad I chose MBA Pathshala for my MBA coaching. The faculty here is excellent and very competent. If I had any questions or needed extra classes, they always gave me one. I got through my GD-PIs too after the exams with their help. Thanks to MBAP, I was able to pass CAT and other entrance exams. Among others, I received calls from XLRI, XIMB, and IIMs. A few of the colleges I've converted are KJ Somaiya, TAPMI, IIM Sambalpur, and IIM Sirmaur.

Read More

MBAP prepared me for GD, WAT, and PI. Abhijit Singh, Haider, and other MBAP faculty provided excellent training. Good knowledge was imparted from the very beginning. Regular mock interviews were conducted. As a former SPJIMR, I would recommend students to join MBAP.

Read More

Coaching offers me personalized attention and a competitive environment. Because the preparation was so rigorous, I eventually began to perform at my best. The mock interviews/GD/WATs were conducted by anonymous panels, and it really boosted my confidence. Although I got a call from SCMHRD (SNAP-98.12), Abhijeet sir felt that I should try again and aim for IIM-A/B/C. It has been your pleasure to have been your mentor.

Read More

You will get good support from the faculty until you get into a B-School. The shortcut techniques you will learn will be extremely useful. You will be able to resolve doubts at any time. If you plan on taking CAT CET or any other entrance exam, go for MBA Pathshala. With the help of MBAP tutors, I received a call from IMT Ghaziabad.

Yash Dandavate**********GMAT Score - 660

Read More

GMAT prep with MBAP was the best I've ever experienced. With Rohan Kulkarni Sir's Verbal Guidance, I scored 85th percentile in my GMAT exam as I was very weak in English. I always found Haider Sir and Abhijeet to answer my questions and to develop strategies and shortcuts to tackle GMAT problems for me. MBAP is a great option for GMAT and CAT prep.

Previous

Next

- B-19, Satyam Shopping Complex, M. G. Road, Ghatkopar (E)- 400077
- 9820257156 / 9769617665
- info@mbapindia.com

Menu

**Inspiring Education… Assuring Success!!**Ⓒ 2020 – All Rights Are Reserved

Free Content !!!

Signup now to get the All recent CAT Exam Paper with Solution... Subscribe below with your Email ID

Free Content !!!

Signup now to get the All recent CAT Exam Paper with Solution... Subscribe below with your Email ID