Crossover Aptitude Logical Reasoning: Syllogisms Questions and Answers

Question 1

Given the following premises, which conclusion creates a valid syllogism?

Premise 1: All innovative solutions are disruptive.
Premise 2: Some disruptive things are challenging to implement.

Accepted Answer

No valid conclusion can be drawn.

Answer

All innovative solutions are challenging to implement.

Answer

Some innovative solutions are challenging to implement.

Answer

No innovative solutions are challenging to implement.

Question 2

Analyze the following argument:

1. No managers at this company are under 30.
2. All of the data analysts are under 30.

Therefore, no data analysts at this company are managers.

What is the logical status of this argument?

Accepted Answer

Valid

Answer

Invalid due to two negative premises.

Answer

Invalid due to an undistributed middle term.

Answer

Uncertain

Question 3

Which of the following is a fundamental rule for a valid categorical syllogism?

Accepted Answer

The middle term must be distributed in at least one premise.

Answer

The syllogism must have at least one negative premise.

Answer

The conclusion can be universal even if both premises are particular.

Answer

If a term is distributed in the premise, it must be distributed in the conclusion.

Question 4

Consider the following scenario: A project requires a team member who is both a certified programmer and fluent in Spanish. The project lead reasons: 'All our front-end developers are certified programmers. Maria is fluent in Spanish. Therefore, Maria is a perfect fit.' Why is this reasoning flawed?

Accepted Answer

It commits the fallacy of four terms.

Answer

It contains a negative premise and an affirmative conclusion.

Answer

The conclusion is valid, but the premises are untrue.

Answer

It commits the fallacy of the undistributed middle.

Question 5

Given the premises:

1. Some remote workers are freelancers.
2. All freelancers manage their own taxes.

Which conclusion logically follows?

Accepted Answer

Some people who manage their own taxes are remote workers.

Answer

All remote workers manage their own taxes.

Answer

No remote workers manage their own taxes.

Answer

Some freelancers are not remote workers.

Question 6

An argument states: 'If both premises of a syllogism are negative, no valid conclusion can be drawn.' This statement is an example of:

Accepted Answer

A logical rule known as the Fallacy of Exclusive Premises.

Answer

The Fallacy of the Illicit Major.

Answer

The Existential Fallacy.

Answer

A valid form of disjunctive syllogism.