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Must Be True Classification - Intermediate Level: tricky scenarios handling Must Be True Classification INTERMEDIATE

This expert challenge 📈 worksheet focuses on Must Be True Classification - a key topic in Statement Conclusion. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve must be true classification, must be true classification tricks, and must be true classification 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 Must Be True Classification
Worksheet 5 of 10 (44% complete)

Question 1

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 2

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 3

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 4

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 5

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 6

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 7

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 8

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 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: 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 11

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 12

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: John passed the exam Based only on the premises, is this statement:
Could be true — Studying 15 hours meets the requirement, but the premise doesn't say studying guarantees passing

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 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 14

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 15

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 16

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 17

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 18

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 19

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 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: 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
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