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Contrapositive Inference - Expert Level: conceptual clarity Contrapositive Inference EXPERT

This skill evaluation ⚡ worksheet focuses on Contrapositive Inference - a key topic in Inference. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master contrapositive inference ssc cgl, contrapositive inference reasoning tricks, and fast contrapositive inference solving through systematic practice.

📝 Worksheet 9 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Contrapositive Inference
Worksheet 9 of 10 (88% complete)

Question 1

Rule: If it's a square, it has four sides Observation: This shape doesn't have four sides What can you logically infer?
This uses the contrapositive rule. The statement "If it's a square, it has four sides" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "This shape doesn't have four sides" (the consequence is false), we can conclude "This is not a square" (the condition is false).

Question 2

Rule: If you're over 18, you can vote Observation: Sarah cannot vote What can you logically infer?
This uses the contrapositive rule. The statement "If you're over 18, you can vote" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Sarah cannot vote" (the consequence is false), we can conclude "Sarah is under 18" (the condition is false).

Question 3

Rule: If you water plants, they grow Observation: The plants didn't grow What can you logically infer?
This uses the contrapositive rule. The statement "If you water plants, they grow" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "The plants didn't grow" (the consequence is false), we can conclude "They weren't watered" (the condition is false).

Question 4

Rule: If it's raining, there are clouds Observation: There are no clouds What can you logically infer?
This uses the contrapositive rule. The statement "If it's raining, there are clouds" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "There are no clouds" (the consequence is false), we can conclude "It's not raining" (the condition is false).

Question 5

Rule: If you're over 18, you can vote Observation: Sarah cannot vote What can you logically infer?
This uses the contrapositive rule. The statement "If you're over 18, you can vote" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Sarah cannot vote" (the consequence is false), we can conclude "Sarah is under 18" (the condition is false).

Question 6

Rule: If it's a dog, it has fur Observation: Max doesn't have fur What can you logically infer?
This uses the contrapositive rule. The statement "If it's a dog, it has fur" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Max doesn't have fur" (the consequence is false), we can conclude "Max is not a dog" (the condition is false).

Question 7

Rule: If it's a holiday, schools are closed Observation: The school is open What can you logically infer?
This uses the contrapositive rule. The statement "If it's a holiday, schools are closed" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "The school is open" (the consequence is false), we can conclude "It's not a holiday" (the condition is false).

Question 8

Rule: If you exercise regularly, you stay healthy Observation: John is not healthy What can you logically infer?
This uses the contrapositive rule. The statement "If you exercise regularly, you stay healthy" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "John is not healthy" (the consequence is false), we can conclude "John doesn't exercise regularly" (the condition is false).

Question 9

Rule: If it's a dog, it has fur Observation: Max doesn't have fur What can you logically infer?
This uses the contrapositive rule. The statement "If it's a dog, it has fur" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Max doesn't have fur" (the consequence is false), we can conclude "Max is not a dog" (the condition is false).

Question 10

Rule: If it's a dog, it has fur Observation: Max doesn't have fur What can you logically infer?
This uses the contrapositive rule. The statement "If it's a dog, it has fur" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Max doesn't have fur" (the consequence is false), we can conclude "Max is not a dog" (the condition is false).

Question 11

Rule: If it's sunny, we go to the beach Observation: We didn't go to the beach What can you logically infer?
This uses the contrapositive rule. The statement "If it's sunny, we go to the beach" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "We didn't go to the beach" (the consequence is false), we can conclude "It wasn't sunny" (the condition is false).

Question 12

Rule: If it's a holiday, schools are closed Observation: The school is open What can you logically infer?
This uses the contrapositive rule. The statement "If it's a holiday, schools are closed" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "The school is open" (the consequence is false), we can conclude "It's not a holiday" (the condition is false).

Question 13

Rule: If it's sunny, we go to the beach Observation: We didn't go to the beach What can you logically infer?
This uses the contrapositive rule. The statement "If it's sunny, we go to the beach" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "We didn't go to the beach" (the consequence is false), we can conclude "It wasn't sunny" (the condition is false).

Question 14

Rule: If you water plants, they grow Observation: The plants didn't grow What can you logically infer?
This uses the contrapositive rule. The statement "If you water plants, they grow" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "The plants didn't grow" (the consequence is false), we can conclude "They weren't watered" (the condition is false).

Question 15

Rule: If it's raining, there are clouds Observation: There are no clouds What can you logically infer?
This uses the contrapositive rule. The statement "If it's raining, there are clouds" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "There are no clouds" (the consequence is false), we can conclude "It's not raining" (the condition is false).

Question 16

Rule: If it's raining, there are clouds Observation: There are no clouds What can you logically infer?
This uses the contrapositive rule. The statement "If it's raining, there are clouds" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "There are no clouds" (the consequence is false), we can conclude "It's not raining" (the condition is false).

Question 17

Rule: If it's a dog, it has fur Observation: Max doesn't have fur What can you logically infer?
This uses the contrapositive rule. The statement "If it's a dog, it has fur" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Max doesn't have fur" (the consequence is false), we can conclude "Max is not a dog" (the condition is false).

Question 18

Rule: If it's sunny, we go to the beach Observation: We didn't go to the beach What can you logically infer?
This uses the contrapositive rule. The statement "If it's sunny, we go to the beach" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "We didn't go to the beach" (the consequence is false), we can conclude "It wasn't sunny" (the condition is false).

Question 19

Rule: If you're over 18, you can vote Observation: Sarah cannot vote What can you logically infer?
This uses the contrapositive rule. The statement "If you're over 18, you can vote" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Sarah cannot vote" (the consequence is false), we can conclude "Sarah is under 18" (the condition is false).

Question 20

Rule: If it's a dog, it has fur Observation: Max doesn't have fur What can you logically infer?
This uses the contrapositive rule. The statement "If it's a dog, it has fur" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Max doesn't have fur" (the consequence is false), we can conclude "Max is not a dog" (the condition is false).
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