A College Student Receives an Interest-Free Loan of $8,570 from a Relative

question 105

Multiple Choice

A college student receives an interest-free loan of $8,570 from a relative. The student will repay $170 per month until the loan is paid off. After how many months will the student owe $5,000?

• A)after 4.2 months.
• B)after 21 months.
• C)after 31 months.
• D)after 29 months.
• E)after 24 months.

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Definitions:

Valid Argument

An argument whose conclusion logically follows from its premises, such that if the premises are true, the conclusion must also be true.

False Conclusion

An incorrect outcome or deduction drawn from an argument, often due to faulty premises or reasoning.

Categorical Syllogism

A form of reasoning consisting of three propositions: a major premise, a minor premise, and a conclusion, each of which contains one of three terms appearing exactly twice across the three propositions.

Syllogism Figures

The different possible arrangements of the three terms in a syllogism, affecting the structure of the argument.