Daily Olympiad: Logical Reasoning - Syllogisms [20260530] – 7 Practice Problems & Printable PDF

1. All lawyers are advocates. Some advocates are politicians. What conclusion follows?

A. Some lawyers are politicians B. All lawyers are politicians C. No lawyers are politicians D. No conclusion can be drawn directly

Solution

Correct: D

In syllogism, two 'some' premises do not lead to a definitive conclusion. 'All lawyers are advocates' and 'Some advocates are politicians' do not guarantee any direct link between lawyers and politicians. The correct answer is 'No conclusion can be drawn directly' (Option D).

2. No cats are dogs. All dogs are mammals. Which conclusion is valid?

A. All cats are mammals B. No mammals are cats C. Some mammals are not cats D. Some mammals are cats

Solution

Correct: C

From 'No cats are dogs' and 'All dogs are mammals', the term 'mammals' is distributive, and 'cats' are not explicitly linked to mammals. The valid conclusion is 'Some mammals are not cats' (Option C) because 'dogs', being mammals and not cats, form part of this group.

3. All students are humans. Some humans are teachers. What can be concluded?

A. Some students are teachers B. All students are teachers C. No students are teachers D. No conclusion can be drawn directly

Solution

Correct: D

Two 'some' premises (in this case, 'Some humans are teachers') lead to no direct link between students and teachers. The correct answer is 'No conclusion can be drawn directly' (Option D).

4. Some fruits are apples. All apples are sweet. What conclusion follows?

A. All fruits are sweet B. Some fruits are sweet C. No fruits are sweet D. No conclusion can be drawn directly

Solution

Correct: B

Valid syllogism: 'Some fruits are apples' and 'All apples are sweet' imply 'Some fruits are sweet' (Option B). Other options overextend the premises.

5. All books are knowledge. Some knowledge is not useful. What is the valid conclusion?

A. Some books are not useful B. No books are useful C. All books are useful D. No conclusion can be drawn directly

Solution

Correct: D

A negative premise 'Some knowledge is not useful' cannot guarantee a valid conclusion linking 'books' and 'useful'. The correct answer is 'No conclusion can be drawn directly' (Option D).

6. No birds are aquatic. Some aquatic creatures are fish. What follows?

A. Some fish are birds B. All fish are birds C. No fish are birds D. No conclusion can be drawn directly

Solution

Correct: D

The premises 'No birds are aquatic' and 'Some aquatic creatures are fish' do not logically connect 'fish' and 'birds'. The correct answer is 'No conclusion can be drawn directly' (Option D).

7. All engineers are professionals. Some professionals are graduates. What follows?

A. Some engineers are graduates B. All engineers are graduates C. No engineers are graduates D. No conclusion can be drawn directly

Solution

Correct: D

The premises do not establish a direct link between engineers and graduates. 'Some professionals are graduates' does not imply a direct connection with engineers. The correct answer is 'No conclusion can be drawn directly' (Option D).

Daily Olympiad: Logical Reasoning - Syllogisms [20260530]

1. All lawyers are advocates. Some advocates are politicians. What conclusion follows?

2. No cats are dogs. All dogs are mammals. Which conclusion is valid?

3. All students are humans. Some humans are teachers. What can be concluded?

4. Some fruits are apples. All apples are sweet. What conclusion follows?

5. All books are knowledge. Some knowledge is not useful. What is the valid conclusion?

6. No birds are aquatic. Some aquatic creatures are fish. What follows?

7. All engineers are professionals. Some professionals are graduates. What follows?

Related Practice Tests

Daily Olympiad: Logical Reasoning - Syllogisms [20260511]

Daily Olympiad: Logical Reasoning - Assumptions [20260512]

Daily Olympiad: Logical Reasoning - Analogies [20260512]

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