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Master Complex Logical Inference - Intermediate-Advanced Level Problems Complex Logical Inference INTERMEDIATE ADVANCED

Excel in competitive exams with this self assessment worksheet on Complex Logical Inference. Worksheet 7 of 10 contains 20 intermediate-advanced-level problems. Target your accuracy improvement skills while practicing complex logical inference shortcut methods, complex logical inference bank exam questions, and complex logical inference ssc cgl.

📝 Worksheet 7 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:
Your progress through Complex Logical Inference
Worksheet 7 of 10 (66% complete)

Question 1

Given these logical premises: • If it's Monday, then school is open • If school is open, then buses run • Buses are not running Which statement must be true?
This requires multi-step logical deduction:
• If it's Monday, then school is open
• If school is open, then buses run
• Buses are not running

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: It's not Monday

Question 2

Given these logical premises: • Either John or Mary broke the vase • If John broke it, he would admit it • John didn't admit it Which statement must be true?
This requires multi-step logical deduction:
• Either John or Mary broke the vase
• If John broke it, he would admit it
• John didn't admit it

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: Mary broke the vase

Question 3

Given these logical premises: • If it's a weekday, I work • If I work, I get tired • If I'm tired, I sleep early • I didn't sleep early Which statement must be true?
This requires multi-step logical deduction:
• If it's a weekday, I work
• If I work, I get tired
• If I'm tired, I sleep early
• I didn't sleep early

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: It's not a weekday

Question 4

Given these logical premises: • If it's Monday, then school is open • If school is open, then buses run • Buses are not running Which statement must be true?
This requires multi-step logical deduction:
• If it's Monday, then school is open
• If school is open, then buses run
• Buses are not running

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: It's not Monday

Question 5

Given these logical premises: • The light is either on or off • If the light is on, the switch is up • The switch is not up Which statement must be true?
This requires multi-step logical deduction:
• The light is either on or off
• If the light is on, the switch is up
• The switch is not up

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: The light is off

Question 6

Given these logical premises: • If A, then B • If B, then C • If C, then not D • A is true Which statement must be true?
This requires multi-step logical deduction:
• If A, then B
• If B, then C
• If C, then not D
• A is true

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: D is false

Question 7

Given these logical premises: • If P, then Q • If Q, then R • If R, then S • Not S Which statement must be true?
This requires multi-step logical deduction:
• If P, then Q
• If Q, then R
• If R, then S
• Not S

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: Not P

Question 8

Given these logical premises: • If you study, you'll pass • If you pass, you'll graduate • You didn't graduate Which statement must be true?
This requires multi-step logical deduction:
• If you study, you'll pass
• If you pass, you'll graduate
• You didn't graduate

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: You didn't study

Question 9

Given these logical premises: • If you study, you'll pass • If you pass, you'll graduate • You didn't graduate Which statement must be true?
This requires multi-step logical deduction:
• If you study, you'll pass
• If you pass, you'll graduate
• You didn't graduate

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: You didn't study

Question 10

Given these logical premises: • If A, then B • If B, then C • If C, then not D • A is true Which statement must be true?
This requires multi-step logical deduction:
• If A, then B
• If B, then C
• If C, then not D
• A is true

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: D is false

Question 11

Given these logical premises: • If P, then Q • If Q, then R • If R, then S • Not S Which statement must be true?
This requires multi-step logical deduction:
• If P, then Q
• If Q, then R
• If R, then S
• Not S

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: Not P

Question 12

Given these logical premises: • If it's a weekday, I work • If I work, I get tired • If I'm tired, I sleep early • I didn't sleep early Which statement must be true?
This requires multi-step logical deduction:
• If it's a weekday, I work
• If I work, I get tired
• If I'm tired, I sleep early
• I didn't sleep early

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: It's not a weekday

Question 13

Given these logical premises: • All X are Y • Some Y are Z • No Z are W • P is X Which statement must be true?
This requires multi-step logical deduction:
• All X are Y
• Some Y are Z
• No Z are W
• P is X

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: P is not W

Question 14

Given these logical premises: • Every cat is a mammal • No mammal can fly • Some pets are cats • Whiskers is a cat Which statement must be true?
This requires multi-step logical deduction:
• Every cat is a mammal
• No mammal can fly
• Some pets are cats
• Whiskers is a cat

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: Whiskers cannot fly

Question 15

Given these logical premises: • All birds can fly • Penguins are birds but cannot fly • This statement is about typical birds • Tweety is a typical bird Which statement must be true?
This requires multi-step logical deduction:
• All birds can fly
• Penguins are birds but cannot fly
• This statement is about typical birds
• Tweety is a typical bird

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: Tweety can fly

Question 16

Given these logical premises: • If P, then Q • If Q, then R • If R, then S • Not S Which statement must be true?
This requires multi-step logical deduction:
• If P, then Q
• If Q, then R
• If R, then S
• Not S

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: Not P

Question 17

Given these logical premises: • All X are Y • Some Y are Z • No Z are W • P is X Which statement must be true?
This requires multi-step logical deduction:
• All X are Y
• Some Y are Z
• No Z are W
• P is X

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: P is not W

Question 18

Given these logical premises: • If you study, you'll pass • If you pass, you'll graduate • You didn't graduate Which statement must be true?
This requires multi-step logical deduction:
• If you study, you'll pass
• If you pass, you'll graduate
• You didn't graduate

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: You didn't study

Question 19

Given these logical premises: • The light is either on or off • If the light is on, the switch is up • The switch is not up Which statement must be true?
This requires multi-step logical deduction:
• The light is either on or off
• If the light is on, the switch is up
• The switch is not up

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: The light is off

Question 20

Given these logical premises: • If it's Monday, then school is open • If school is open, then buses run • Buses are not running Which statement must be true?
This requires multi-step logical deduction:
• If it's Monday, then school is open
• If school is open, then buses run
• Buses are not running

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: It's not Monday
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