Must Be True Classification Beginner-Intermediate Worksheet: Focus on common variations practice Must Be True Classification BEGINNER INTERMEDIATE

Level up your Must Be True Classification skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: must be true classification for competitive exams, how to solve must be true classification, must be true classification tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

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Worksheet 4 of 10 (33% complete)

Question 1

Premises: If it's raining, the ground is wet. The ground is not wet. Statement: It is not raining Based only on the premises, is this statement:
Must be true — If it were raining, ground would be wet (modus tollens)

Question 2

Premises: All students who passed the exam studied at least 10 hours. John studied 15 hours. Mary studied 5 hours. Sarah studied 10 hours exactly. Statement: Mary did not pass the exam Based only on the premises, is this statement:
Could be true — She studied less than 10 hours, so she cannot have passed given the premise

Question 3

Premises: All students who passed the exam studied at least 10 hours. John studied 15 hours. Mary studied 5 hours. Sarah studied 10 hours exactly. Statement: Sarah passed the exam Based only on the premises, is this statement:
Could be true — She meets the study requirement, but passing isn't guaranteed

Question 4

Premises: If it's raining, the ground is wet. The ground is not wet. Statement: Someone watered the lawn Based only on the premises, is this statement:
Could be true — Ground could be wet from other causes, but it's not wet, so unlikely

Question 5

Premises: If it's raining, the ground is wet. The ground is not wet. Statement: It could be raining but the ground dried quickly Based only on the premises, is this statement:
Must be false — Premise says 'if raining → ground wet' with no time delay specified

Question 6

Premises: All students who passed the exam studied at least 10 hours. John studied 15 hours. Mary studied 5 hours. Sarah studied 10 hours exactly. Statement: No one who studied less than 10 hours passed Based only on the premises, is this statement:
Must be true — This is exactly what the premise states (contrapositive)

Question 7

Premises: If it's raining, the ground is wet. The ground is not wet. Statement: Someone watered the lawn Based only on the premises, is this statement:
Could be true — Ground could be wet from other causes, but it's not wet, so unlikely

Question 8

Premises: Some doctors are researchers. No researchers are lazy. All lazy people are unhappy. Statement: Some unhappy people are not doctors Based only on the premises, is this statement:
Must be true — Lazy people are unhappy, but they aren't researchers; they could be doctors or not

Question 9

Premises: Some doctors are researchers. No researchers are lazy. All lazy people are unhappy. Statement: Some doctors are not lazy Based only on the premises, is this statement:
Must be true — Some doctors are researchers, and no researchers are lazy

Question 10

Premises: If it's raining, the ground is wet. The ground is not wet. Statement: It could be raining but the ground dried quickly Based only on the premises, is this statement:
Must be false — Premise says 'if raining → ground wet' with no time delay specified

Question 11

Premises: If it's raining, the ground is wet. The ground is not wet. Statement: Someone watered the lawn Based only on the premises, is this statement:
Could be true — Ground could be wet from other causes, but it's not wet, so unlikely

Question 12

Premises: If it's raining, the ground is wet. The ground is not wet. Statement: It could be raining but the ground dried quickly Based only on the premises, is this statement:
Must be false — Premise says 'if raining → ground wet' with no time delay specified

Question 13

Premises: All students who passed the exam studied at least 10 hours. John studied 15 hours. Mary studied 5 hours. Sarah studied 10 hours exactly. Statement: Mary definitely failed Based only on the premises, is this statement:
Must be true — Premise says ALL who passed studied ≥10 hours. Mary studied 5 hours, so she cannot have passed

Question 14

Premises: Some doctors are researchers. No researchers are lazy. All lazy people are unhappy. Statement: Some doctors are not lazy Based only on the premises, is this statement:
Must be true — Some doctors are researchers, and no researchers are lazy

Question 15

Premises: All students who passed the exam studied at least 10 hours. John studied 15 hours. Mary studied 5 hours. Sarah studied 10 hours exactly. Statement: No one who studied less than 10 hours passed Based only on the premises, is this statement:
Must be true — This is exactly what the premise states (contrapositive)

Question 16

Premises: Some doctors are researchers. No researchers are lazy. All lazy people are unhappy. Statement: Some doctors are not lazy Based only on the premises, is this statement:
Must be true — Some doctors are researchers, and no researchers are lazy

Question 17

Premises: Some doctors are researchers. No researchers are lazy. All lazy people are unhappy. Statement: No doctors are lazy Based only on the premises, is this statement:
Could be true — We only know some doctors aren't lazy; others might be

Question 18

Premises: All students who passed the exam studied at least 10 hours. John studied 15 hours. Mary studied 5 hours. Sarah studied 10 hours exactly. Statement: Mary definitely failed Based only on the premises, is this statement:
Must be true — Premise says ALL who passed studied ≥10 hours. Mary studied 5 hours, so she cannot have passed

Question 19

Premises: If it's raining, the ground is wet. The ground is not wet. Statement: It could be raining but the ground dried quickly Based only on the premises, is this statement:
Must be false — Premise says 'if raining → ground wet' with no time delay specified

Question 20

Premises: All students who passed the exam studied at least 10 hours. John studied 15 hours. Mary studied 5 hours. Sarah studied 10 hours exactly. Statement: Sarah passed the exam Based only on the premises, is this statement:
Could be true — She meets the study requirement, but passing isn't guaranteed
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