Syllogisms: Master Logical Reasoning for Competitive Exams

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Syllogisms

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Syllogisms MCQ & Objective Questions

Syllogisms are a crucial part of logical reasoning that students encounter in various exams. Mastering this concept can significantly enhance your performance in both school and competitive exams. By practicing Syllogisms MCQ and objective questions, you can sharpen your analytical skills and improve your chances of scoring better. Engaging with practice questions helps you understand the underlying principles and prepares you for important questions that may appear in your exams.

What You Will Practise Here

Understanding the structure of syllogisms
Identifying valid and invalid syllogistic forms
Analyzing categorical propositions
Recognizing common fallacies in reasoning
Solving Syllogisms MCQ questions with detailed explanations
Applying Venn diagrams to illustrate syllogistic relationships
Practicing important Syllogisms questions for exams

Exam Relevance

Syllogisms frequently appear in various examinations, including CBSE, State Boards, NEET, and JEE. These exams often feature questions that assess your ability to deduce conclusions from given premises. Common question patterns include identifying the validity of arguments and selecting the correct conclusion based on provided statements. Understanding Syllogisms is essential for excelling in logical reasoning sections of these exams.

Common Mistakes Students Make

Confusing the terms 'major premise' and 'minor premise'
Overlooking the importance of the middle term in syllogisms
Misinterpreting the logical connectors (and, or, not)
Failing to apply Venn diagrams correctly
Assuming all conclusions are valid without proper analysis

FAQs

Question: What are syllogisms in logical reasoning?
Answer: Syllogisms are logical arguments that consist of two premises followed by a conclusion, used to deduce relationships between different categories.

Question: How can I improve my skills in solving Syllogisms objective questions?
Answer: Regular practice with Syllogisms MCQ questions and understanding the underlying concepts will enhance your skills and confidence.

Start solving practice MCQs today to test your understanding of Syllogisms and boost your exam preparation. Remember, consistent practice is the key to mastering this essential topic!

Venn Diagram Method & Formal Rules

Q. In a group of 100 people, 60 like coffee, 40 like tea, and 20 like both. How many people like either coffee or tea?

A. 80
B. 60
C. 40
D. 100

Solution

To find the number of people who like either coffee or tea, use the formula: (Coffee + Tea - Both) = (60 + 40 - 20) = 80.

Correct Answer: A — 80

Q. In a group of 100 people, 60 like tea, 50 like coffee, and 30 like both. How many people like only tea?

A. 30
B. 50
C. 20
D. 40

Solution

People who like only tea = Total tea lovers - Both tea and coffee lovers = 60 - 30 = 30.

Correct Answer: A — 30

Q. In a group of 120 people, 80 like football, 50 like basketball, and 30 like both. How many like only football?

A. 50
B. 30
C. 20
D. 40

Solution

People who like only football = Total football lovers - Both football and basketball lovers = 80 - 30 = 50.

Correct Answer: A — 50

Q. In a group of 90 people, 50 like reading, 40 like writing, and 20 like both. How many like only writing?

A. 20
B. 30
C. 10
D. 40

Solution

People who like only writing = Total writing lovers - Both reading and writing lovers = 40 - 20 = 20.

Correct Answer: A — 20

Q. In a survey of 200 students, 120 like Mathematics, 80 like Science, and 50 like both. How many students like only Science?

A. 30
B. 50
C. 20
D. 40

Solution

Students who like only Science = Total Science lovers - Both Mathematics and Science lovers = 80 - 50 = 30.

Correct Answer: A — 30

Q. In a survey of 300 people, 150 like chocolate, 100 like vanilla, and 50 like both. How many like only chocolate?

A. 100
B. 150
C. 50
D. 200

Solution

People who like only chocolate = Total chocolate lovers - Both chocolate and vanilla lovers = 150 - 50 = 100.

Correct Answer: A — 100

Q. In a survey, 150 people were asked about their favorite fruit. 90 like apples, 70 like bananas, and 40 like both. How many like only bananas?

A. 30
B. 40
C. 50
D. 20

Solution

People who like only bananas = Total banana lovers - Both apple and banana lovers = 70 - 40 = 30.

Correct Answer: A — 30

Q. In a survey, 200 people were asked about their favorite sport. 120 like cricket, 80 like football, and 40 like both. How many like only cricket?

A. 80
B. 40
C. 100
D. 60

Solution

People who like only cricket = Total cricket lovers - Both cricket and football lovers = 120 - 40 = 80.

Correct Answer: A — 80

Q. In a survey, 30 people like chocolate, 25 like vanilla, and 10 like both. How many people like only chocolate?

A. 20
B. 15
C. 10
D. 5

Solution

To find those who like only chocolate, subtract those who like both: 30 - 10 = 20.

Correct Answer: A — 20

Q. No fish are mammals. Some mammals are not dogs. Therefore, some fish are not dogs. Is this conclusion valid?

A. Yes
B. No
C. Only if all mammals are dogs
D. Cannot be determined

Solution

The conclusion is not valid because the relationship between fish and dogs is not established.

Correct Answer: B — No

Q. No mammals lay eggs. All whales are mammals. Therefore, no whales lay eggs. Is this conclusion valid? (2023)

A. Yes
B. No
C. Only if all mammals are whales
D. Only if some mammals lay eggs

Solution

The conclusion is valid. Since all whales are mammals and no mammals lay eggs, it follows that no whales lay eggs.

Correct Answer: A — Yes

Q. No students are lazy. Some lazy people are not successful. Therefore, some students are successful. Is this conclusion valid?

A. Yes
B. No
C. Only if all students are hardworking
D. Only if some lazy people are students

Solution

The conclusion is valid because if no students are lazy, then it follows that they cannot be among those who are not successful.

Correct Answer: A — Yes

Q. Some birds can fly. All sparrows are birds. Therefore, some sparrows can fly. Is this conclusion valid? (2023)

A. Yes
B. No
C. Only if all birds can fly
D. Only if some birds are sparrows

Solution

The conclusion is valid. Since all sparrows are birds and some birds can fly, it follows that some sparrows can fly.

Correct Answer: A — Yes

Q. Some cars are red. All red things are fast. Therefore, some cars are fast. Is this conclusion valid? (2023)

A. Yes
B. No
C. Only if all cars are red
D. Only if some fast things are cars

Solution

The conclusion is valid. If some cars are red and all red things are fast, then it follows that some cars are fast.

Correct Answer: A — Yes

Q. Some students are diligent. All diligent people succeed. Therefore, some students succeed. Is this conclusion valid? (2023)

A. Yes
B. No
C. Only if all students are diligent
D. Only if some diligent people are students

Solution

The conclusion is valid. If some students are diligent and all diligent people succeed, then it follows that some students succeed.

Correct Answer: A — Yes

Q. Some teachers are strict. All strict people are disciplined. Therefore, some teachers are disciplined. Is this conclusion valid?

A. Yes
B. No
C. Only if all teachers are strict
D. Only if some disciplined people are teachers

Solution

The conclusion is not valid because while some teachers are strict, it does not guarantee that those teachers are among the disciplined.

Correct Answer: B — No

Q. What is the meaning of the idiom 'to beat around the bush'?

A. To avoid the main topic
B. To speak directly
C. To be very clear
D. To make a decision

Solution

'To beat around the bush' means to avoid getting to the point of a conversation.

Correct Answer: A — To avoid the main topic

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