Syllogism MCQ & Objective Questions
Syllogism is a crucial topic for students preparing for various school and competitive exams in India. Understanding syllogistic reasoning not only enhances logical thinking but also plays a significant role in scoring better in exams. Practicing MCQs and objective questions on syllogism helps students grasp essential concepts and improves their problem-solving skills, making it easier to tackle important questions during their exam preparation.
What You Will Practise Here
Basic definitions and principles of syllogism
Types of syllogisms: categorical, hypothetical, and disjunctive
Common forms of syllogistic reasoning
Venn diagrams for visual representation of syllogisms
Identifying valid and invalid syllogistic arguments
Practice questions on syllogism with detailed explanations
Strategies for solving syllogism MCQs effectively
Exam Relevance
Syllogism is frequently featured in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that assess their ability to analyze arguments and draw logical conclusions. Common question patterns include identifying valid syllogisms, completing syllogistic statements, and applying Venn diagrams to solve problems. Mastering this topic can significantly enhance a student's performance in logical reasoning sections of competitive exams.
Common Mistakes Students Make
Confusing the premises and conclusions in syllogistic arguments
Misinterpreting the logical connectors (and, or, not) in statements
Overlooking the importance of the middle term in syllogisms
Failing to visualize relationships using Venn diagrams
Rushing through questions without careful analysis of the options
FAQs
Question: What is a syllogism?Answer: A syllogism is a form of reasoning where a conclusion is drawn from two given or assumed propositions (premises).
Question: How can I improve my skills in solving syllogism MCQs?Answer: Regular practice with objective questions and understanding the underlying concepts will enhance your skills in solving syllogism MCQs.
Start solving practice MCQs on syllogism today to test your understanding and boost your confidence for upcoming exams. Remember, consistent practice is the key to mastering this topic!
Q. A bird in the hand is worth two in the bush. If you have one bird, you should not risk it for two. What does this idiom imply?
A.
Take risks for greater rewards
B.
Value what you have
C.
Birds are not valuable
D.
Always seek more
Show solution
Solution
The idiom implies that it is better to hold onto what you have than to risk it for something that may not be attainable.
Correct Answer:
B
— Value what you have
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Q. A is taller than B. B is taller than C. Which of the following must be true?
A.
A is taller than C
B.
C is taller than A
C.
B is the tallest
D.
C is shorter than A
Show solution
Solution
If A is taller than B and B is taller than C, then A must be taller than C.
Correct Answer:
A
— A is taller than C
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Q. All birds can fly. Penguins are birds. Therefore, penguins can fly. Is this conclusion valid?
A.
Yes
B.
No
C.
Only in some cases
D.
Only if they are young
Show solution
Solution
The conclusion is not valid because not all birds can fly; penguins are an exception.
Correct Answer:
B
— No
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Q. All dogs bark. Max is a dog. Therefore, Max barks. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if Max is awake
D.
Cannot be determined
Show solution
Solution
The conclusion is valid because if all dogs bark and Max is a dog, it follows that Max barks.
Correct Answer:
A
— Yes
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Q. All dogs bark. Some pets are dogs. Therefore, some pets bark. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all pets are dogs
D.
Only if some pets are not dogs
Show solution
Solution
The conclusion is valid because if all dogs bark and some pets are dogs, then those pets must bark.
Correct Answer:
A
— Yes
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Q. All fruits are healthy. Some healthy foods are not fruits. Therefore, some fruits are not healthy. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all healthy foods are fruits
D.
Only if some fruits are unhealthy
Show solution
Solution
The conclusion is not valid because it contradicts the premise that all fruits are healthy.
Correct Answer:
B
— No
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Q. All mammals have hearts. Some whales are mammals. Therefore, some whales have hearts. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all mammals are whales
D.
Only if some whales are not mammals
Show solution
Solution
The conclusion is valid because if all mammals have hearts and some whales are mammals, then those whales must have hearts.
Correct Answer:
A
— Yes
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Q. All students are learners. Some learners are not diligent. Therefore, some students are not diligent. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all diligent learners are students
D.
Cannot be determined
Show solution
Solution
The conclusion cannot be determined because while some learners are not diligent, it does not specify if those learners are students.
Correct Answer:
B
— No
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Q. All students are learners. Some learners are not teachers. Therefore, some students are not teachers. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all learners are students
D.
Only if some students are teachers
Show solution
Solution
The conclusion is valid because if all students are learners and some learners are not teachers, then some students must not be teachers.
Correct Answer:
A
— Yes
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Q. If 'A' is a parent and 'B' is a child, can we conclude that 'A' is not a child?
A.
Yes
B.
No
C.
Only if 'B' is not a parent
D.
Only if 'A' is not a sibling
Show solution
Solution
The conclusion is valid because a parent cannot also be a child in the same relationship context.
Correct Answer:
A
— Yes
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Q. If 'A' is a parent of 'B' and 'B' is a sibling of 'C', what is the relationship between 'A' and 'C'?
A.
Parent
B.
Sibling
C.
Child
D.
Cannot be determined
Show solution
Solution
The relationship cannot be determined as 'A' could be a parent or another relative of 'C'.
Correct Answer:
D
— Cannot be determined
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Q. If 'A' is a synonym of 'B' and 'B' is a synonym of 'C', what can we conclude about 'A' and 'C'?
A.
A is a synonym of C
B.
A is not related to C
C.
A and C are antonyms
D.
Cannot be determined
Show solution
Solution
If A is a synonym of B and B is a synonym of C, then A must also be a synonym of C.
Correct Answer:
A
— A is a synonym of C
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Q. If 'A' is taller than 'B' and 'B' is taller than 'C', can we conclude that 'A' is taller than 'C'?
A.
Yes
B.
No
C.
Only if 'C' is not taller than 'B'
D.
Only if 'A' is not shorter than 'B'
Show solution
Solution
The conclusion is valid due to the transitive property of height.
Correct Answer:
A
— Yes
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Q. If 'X' is a square and 'Y' is a rectangle, can 'Y' be a square?
A.
Yes
B.
No
C.
Only if 'X' is a larger square
D.
Cannot be determined
Show solution
Solution
No, a rectangle cannot be a square unless all sides are equal, which is not guaranteed.
Correct Answer:
B
— No
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Q. If 'X' is a square and 'Y' is a rectangle, can we conclude that 'X' is not a rectangle?
A.
Yes
B.
No
C.
Only if 'Y' is not a square
D.
Only if all rectangles are not squares
Show solution
Solution
The conclusion is valid because a square is a specific type of rectangle, but not all rectangles are squares.
Correct Answer:
A
— Yes
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Q. If 'X' is greater than 'Y' and 'Y' is greater than 'Z', which of the following must be true?
A.
X is greater than Z
B.
Z is greater than X
C.
Y is less than Z
D.
X is equal to Y
Show solution
Solution
From the given statements, we can conclude that X is greater than Z.
Correct Answer:
A
— X is greater than Z
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Q. If a person is a teacher, then they are educated. John is not educated. Therefore, John is not a teacher. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all teachers are educated
D.
Only if some teachers are not educated
Show solution
Solution
The conclusion is valid due to the contrapositive reasoning: if John is not educated, then he cannot be a teacher.
Correct Answer:
A
— Yes
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Q. If all A are B and all B are C, can we conclude that all A are C?
A.
Yes
B.
No
C.
Only if A is a subset of B
D.
Only if C is a subset of B
Show solution
Solution
Yes, this is a valid syllogism known as transitive reasoning.
Correct Answer:
A
— Yes
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Q. If all students are learners and some learners are not thinkers, can we conclude that some students are not thinkers?
A.
Yes
B.
No
C.
Only if all learners are students
D.
Only if some students are learners
Show solution
Solution
The conclusion is not valid because it does not necessarily follow that some students are not thinkers.
Correct Answer:
B
— No
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Q. If all students study hard, and John is a student, can we conclude that John studies hard?
A.
Yes
B.
No
C.
Only if John wants to pass
D.
Cannot be determined
Show solution
Solution
The conclusion is valid because if all students study hard and John is a student, then John must study hard.
Correct Answer:
A
— Yes
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Q. If all students study hard, then they will pass the exam. John is a student and he passed the exam. Can we conclude that John studied hard?
A.
Yes
B.
No
C.
Only if he studied last night
D.
Cannot be determined
Show solution
Solution
The conclusion is not valid because passing the exam does not necessarily mean that John studied hard; he could have passed for other reasons.
Correct Answer:
B
— No
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Q. If all teachers are educated and some educated people are not rich, can we conclude that some teachers are not rich?
A.
Yes
B.
No
C.
Only if all educated people are teachers
D.
Cannot be determined
Show solution
Solution
The conclusion is not valid because while some educated people are not rich, it does not imply that any teachers are among them.
Correct Answer:
B
— No
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Q. If it is a holiday, then the office is closed. The office is open. Therefore, it is not a holiday. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if the office is usually closed on holidays
D.
Only if it is a weekday
Show solution
Solution
The conclusion is valid due to the contrapositive reasoning: if the office is open, then it cannot be a holiday.
Correct Answer:
A
— Yes
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Q. If it is a holiday, then the office is closed. Today is not a holiday. Therefore, the office is open. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if it is a weekend
D.
Cannot be determined
Show solution
Solution
The conclusion is not valid because the office could be closed for other reasons even if today is not a holiday.
Correct Answer:
B
— No
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Q. If it rains, the ground gets wet. The ground is not wet. Therefore, it did not rain. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if it is cloudy
D.
Only if the ground is dry
Show solution
Solution
The conclusion is valid due to the logical principle of contrapositive: if the ground is not wet, then it follows that it did not rain.
Correct Answer:
A
— Yes
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Q. If it rains, the ground gets wet. The ground is wet. Can we conclude that it rained?
A.
Yes
B.
No
C.
Only if it was a heavy rain
D.
Cannot be determined
Show solution
Solution
The conclusion is not valid because the ground could be wet for other reasons, not just rain.
Correct Answer:
B
— No
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Q. If it rains, the ground gets wet. The ground is wet. Therefore, it rained. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if it has not been watered
D.
Only if it is cloudy
Show solution
Solution
The conclusion is not valid because the ground could be wet for other reasons, such as watering or other forms of precipitation.
Correct Answer:
B
— No
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Q. If some dogs are friendly and all friendly animals are pets, can we conclude that some dogs are pets?
A.
Yes
B.
No
C.
Only if all pets are dogs
D.
Only if some pets are not dogs
Show solution
Solution
Yes, the conclusion is valid because if some dogs are friendly and all friendly animals are pets, then those friendly dogs must be pets.
Correct Answer:
A
— Yes
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Q. No birds are mammals. All sparrows are birds. Therefore, no sparrows are mammals. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all birds are sparrows
D.
Only if some birds are mammals
Show solution
Solution
The conclusion is valid because if no birds are mammals and all sparrows are birds, then no sparrows can be mammals.
Correct Answer:
A
— Yes
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Q. No dogs are cats. Some pets are dogs. Therefore, some pets are not cats. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all pets are dogs
D.
Cannot be determined
Show solution
Solution
The conclusion is valid because if no dogs are cats and some pets are dogs, then those pets cannot be cats.
Correct Answer:
A
— Yes
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