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Argument Validity - Intermediate Level: tricky scenarios handling Argument Validity INTERMEDIATE

This expert challenge 📈 worksheet focuses on Argument Validity - a key topic in Logical Connectives. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve argument validity, argument validity tricks, and argument validity shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Argument Validity
Worksheet 5 of 10 (44% complete)

Question 1

Evaluate this logical argument: Premise: If it rains, the ground gets wet. Premise: The ground is wet. Therefore, it is raining. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Affirming the Consequent

This is a fallacy! The ground could be wet for other reasons (sprinklers, flood, etc.). P → Q and Q does NOT guarantee P.

Conclusion: This argument is INVALID.

Question 2

Evaluate this logical argument: Premise: If it rains, the ground gets wet. Premise: The ground is wet. Therefore, it is raining. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Affirming the Consequent

This is a fallacy! The ground could be wet for other reasons (sprinklers, flood, etc.). P → Q and Q does NOT guarantee P.

Conclusion: This argument is INVALID.

Question 3

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You studied. Therefore, you will pass. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Modus Ponens

Modus Ponens: P → Q and P together force Q to be true.

Conclusion: This argument is VALID.

Question 4

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You did NOT pass. Therefore, you did NOT study. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Modus Tollens

Modus Tollens: If P → Q and ¬Q, then ¬P follows necessarily.

Conclusion: This argument is VALID.

Question 5

Evaluate this logical argument: Premise: If it rains, the ground gets wet. Premise: It is raining. Therefore, the ground gets wet. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Modus Ponens

This is Modus Ponens: If P → Q and P are true, then Q must be true.

Conclusion: This argument is VALID.

Question 6

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You did NOT pass. Therefore, you did NOT study. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Modus Tollens

Modus Tollens: If P → Q and ¬Q, then ¬P follows necessarily.

Conclusion: This argument is VALID.

Question 7

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You did NOT study. Therefore, you will NOT pass. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Denying the Antecedent

Fallacy! You might still pass without studying (natural talent, cheating, easy exam). ¬P does NOT imply ¬Q.

Conclusion: This argument is INVALID.

Question 8

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You did NOT study. Therefore, you will NOT pass. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Denying the Antecedent

Fallacy! You might still pass without studying (natural talent, cheating, easy exam). ¬P does NOT imply ¬Q.

Conclusion: This argument is INVALID.

Question 9

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You did NOT study. Therefore, you will NOT pass. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Denying the Antecedent

Fallacy! You might still pass without studying (natural talent, cheating, easy exam). ¬P does NOT imply ¬Q.

Conclusion: This argument is INVALID.

Question 10

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You did NOT pass. Therefore, you did NOT study. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Modus Tollens

Modus Tollens: If P → Q and ¬Q, then ¬P follows necessarily.

Conclusion: This argument is VALID.

Question 11

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You did NOT pass. Therefore, you did NOT study. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Modus Tollens

Modus Tollens: If P → Q and ¬Q, then ¬P follows necessarily.

Conclusion: This argument is VALID.

Question 12

Evaluate this logical argument: Premise: If it rains, the ground gets wet. Premise: It is raining. Therefore, the ground gets wet. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Modus Ponens

This is Modus Ponens: If P → Q and P are true, then Q must be true.

Conclusion: This argument is VALID.

Question 13

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You did NOT study. Therefore, you will NOT pass. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Denying the Antecedent

Fallacy! You might still pass without studying (natural talent, cheating, easy exam). ¬P does NOT imply ¬Q.

Conclusion: This argument is INVALID.

Question 14

Evaluate this logical argument: Premise: If it rains, the ground gets wet. Premise: It is raining. Therefore, the ground gets wet. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Modus Ponens

This is Modus Ponens: If P → Q and P are true, then Q must be true.

Conclusion: This argument is VALID.

Question 15

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You did NOT study. Therefore, you will NOT pass. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Denying the Antecedent

Fallacy! You might still pass without studying (natural talent, cheating, easy exam). ¬P does NOT imply ¬Q.

Conclusion: This argument is INVALID.

Question 16

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You did NOT study. Therefore, you will NOT pass. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Denying the Antecedent

Fallacy! You might still pass without studying (natural talent, cheating, easy exam). ¬P does NOT imply ¬Q.

Conclusion: This argument is INVALID.

Question 17

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You did NOT pass. Therefore, you did NOT study. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Modus Tollens

Modus Tollens: If P → Q and ¬Q, then ¬P follows necessarily.

Conclusion: This argument is VALID.

Question 18

Evaluate this logical argument: Premise: If it rains, the ground gets wet. Premise: The ground is wet. Therefore, it is raining. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Affirming the Consequent

This is a fallacy! The ground could be wet for other reasons (sprinklers, flood, etc.). P → Q and Q does NOT guarantee P.

Conclusion: This argument is INVALID.

Question 19

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You studied. Therefore, you will pass. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Modus Ponens

Modus Ponens: P → Q and P together force Q to be true.

Conclusion: This argument is VALID.

Question 20

Evaluate this logical argument: Premise: If you study, you will pass. Premise: You did NOT pass. Therefore, you did NOT study. Is this argument valid? (If the premises are true, must the conclusion be true?)
Argument form: Modus Tollens

Modus Tollens: If P → Q and ¬Q, then ¬P follows necessarily.

Conclusion: This argument is VALID.
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