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Inference - Intermediate-Advanced Level: implicit information INTERMEDIATE-ADVANCED

Ready to master inference? This time-bound test features 20 intermediate-advanced-level challenges. Worksheet 22 of 30 sharpens your implicit information skills. Master logical inferences, implied meaning, deductive inference through guided practice. Perfect for advanced developing test preparation.

📝 Worksheet 22 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Inference
Worksheet 22 of 30 (73% complete)

Question 1

Consider these premises: • If you practice daily, you improve • If you improve, you win matches • Sarah practices daily Which conclusion logically follows?
By combining the premises logically:
• If you practice daily, you improve
• If you improve, you win matches
• Sarah practices daily

We can deduce: Sarah will win matches

This uses 3-step logical reasoning, applying transitive properties and categorical logic.
syllogism, chain-reasoning

Question 2

Statistical information: 90% of lottery winners go bankrupt within 5 years. Maria won the lottery. What is the most reasonable inference?
This is probabilistic reasoning. The statistical evidence (90% of lottery winners go bankrupt within 5 years. Maria won the lottery.) doesn't guarantee certainty, but it provides strong support for: Maria will likely face financial difficulties

Remember: Probability inferences are about likelihood, not certainty.
probabilistic, statistical, likelihood

Question 3

Analogical reasoning: "Books store knowledge. Libraries store books." What is the most reasonable inference by analogy?
This uses analogical reasoning: Books store knowledge. Libraries store books.

The analogy maps relationships from the source domain to the target domain, suggesting: Libraries are repositories of knowledge (by storing books, libraries indirectly store the knowledge within them)

Analogical inferences are suggestive but not logically certain; the strength depends on the relevance and similarity of the mapped features.
analogy, metaphor, mapping

Question 4

Logical condition: Being a mammal is necessary for being a dog. Fido is a dog. What can you infer?
This tests necessary vs. sufficient conditions.

- If A is SUFFICIENT for B: A → B (A guarantees B, but B can happen without A)
- If A is NECESSARY for B: B → A (B cannot happen without A)

Fido is a mammal
necessary-conditions, sufficient-conditions, logic

Question 5

Observation: The ancient ruins have precise stone cuts. They could have used copper tools, advanced lost technology, or simple wedges and hammers. Which is the most reasonable inference about the cause?
This is abductive reasoning (inference to the best explanation). Given the observation 'The ancient ruins have precise stone cuts. They could have used copper tools, advanced lost technology, or simple wedges and hammers.', we consider possible causes and select the most plausible one. They probably used simple wedges and hammers (most plausible given known technology) is the best explanation because it's the most common, simplest, or most likely cause.
abduction, best-explanation, diagnosis

Question 6

Statistical finding: Quality control tested 100 products and found 2 defects. The production run has 10,000 items. What can you infer about the population?
This uses statistical inference: from a representative sample, we can make probabilistic claims about the population. Approximately 200 items in the run are defective (based on 2% sample rate) is the appropriate inference, accounting for sampling error and confidence levels.
sampling, generalization, confidence

Question 7

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
multi-step, quantifier, modal

Question 8

Quantifier logic: • All A are B • Some B are C • No C are D What can be inferred about the relationships?
This tests understanding of quantifiers (all, some, no, most). Some A may be C (but not necessarily)

Remember: 'Some' means 'at least one' (could be all). 'Most' means 'more than half'. No categorical statement about individuals follows from 'most' statements.
quantifiers, all-some-none, logic

Question 9

Observation: Students' test scores improved by 25% after hiring new teachers What causal inference is most reasonable?
This inference uses temporal precedence (the cause occurred before the effect) and correlation to suggest causation: New teachers likely contributed to score improvement

However, be aware of alternative explanations (confounding variables, regression to the mean, etc.) that might also explain the observation.
causation, temporal, correlation

Question 10

Consider this argument: "John got promoted quickly. He must have worked very hard." What unstated assumption must be true for this reasoning to be valid?
The argument makes a hidden assumption: Hard work leads to quick promotion (and no other factors like luck, connections, or timing influenced the promotion)

This assumption is not explicitly stated but is necessary for the conclusion to follow from the premises. If this assumption is false, the argument becomes weak or invalid.
assumption, critical-thinking, argument-analysis

Question 11

Given: Every square is a rectangle. This shape is a square. What can you logically conclude?
This is a direct inference. The conclusion follows necessarily from the premise: "Every square is a rectangle. This shape is a square." leads to "This shape is a rectangle" because the premise establishes a universal relationship and then confirms the condition.
direct, deductive, modus-ponens

Question 12

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).
contrapositive, modus-tollens

Question 13

Statistical information: Most car accidents occur within 5 miles of home. John had an accident 3 miles from home. What is the most reasonable inference?
This is probabilistic reasoning. The statistical evidence (Most car accidents occur within 5 miles of home. John had an accident 3 miles from home.) doesn't guarantee certainty, but it provides strong support for: This fits a common pattern

Remember: Probability inferences are about likelihood, not certainty.
probabilistic, statistical, likelihood

Question 14

Consider this argument: "The company's profits doubled. The CEO must be doing great work." What unstated assumption must be true for this reasoning to be valid?
The argument makes a hidden assumption: CEO performance directly affects company profits (and no external factors like market conditions caused the increase)

This assumption is not explicitly stated but is necessary for the conclusion to follow from the premises. If this assumption is false, the argument becomes weak or invalid.
assumption, critical-thinking, argument-analysis

Question 15

Quantifier logic: • No reptiles have fur • All snakes are reptiles • Some pets are snakes What can be inferred about the relationships?
This tests understanding of quantifiers (all, some, no, most). Some pets do not have fur

Remember: 'Some' means 'at least one' (could be all). 'Most' means 'more than half'. No categorical statement about individuals follows from 'most' statements.
quantifiers, all-some-none, logic

Question 16

Observation: The ancient ruins have precise stone cuts. They could have used copper tools, advanced lost technology, or simple wedges and hammers. Which is the most reasonable inference about the cause?
This is abductive reasoning (inference to the best explanation). Given the observation 'The ancient ruins have precise stone cuts. They could have used copper tools, advanced lost technology, or simple wedges and hammers.', we consider possible causes and select the most plausible one. They probably used simple wedges and hammers (most plausible given known technology) is the best explanation because it's the most common, simplest, or most likely cause.
abduction, best-explanation, diagnosis

Question 17

Statistical information: 75% of rainy days are cloudy. Today is rainy. What is the most reasonable inference?
This is probabilistic reasoning. The statistical evidence (75% of rainy days are cloudy. Today is rainy.) doesn't guarantee certainty, but it provides strong support for: Today is probably cloudy

Remember: Probability inferences are about likelihood, not certainty.
probabilistic, statistical, likelihood

Question 18

Consider these premises: • No criminals are honest • Some politicians are criminals • Robert is a politician Which conclusion logically follows?
By combining the premises logically:
• No criminals are honest
• Some politicians are criminals
• Robert is a politician

We can deduce: Robert may not be honest

This uses 3-step logical reasoning, applying transitive properties and categorical logic.
syllogism, chain-reasoning

Question 19

Analogical reasoning: "Plants need water to survive. Fish live in water." What is the most reasonable inference by analogy?
This uses analogical reasoning: Plants need water to survive. Fish live in water.

The analogy maps relationships from the source domain to the target domain, suggesting: Fish have abundant access to what they need to survive (water provides oxygen and habitat like soil provides water and nutrients for plants)

Analogical inferences are suggestive but not logically certain; the strength depends on the relevance and similarity of the mapped features.
analogy, metaphor, mapping

Question 20

Consider these premises: • No reptiles are warm-blooded • All snakes are reptiles • Python is a snake Which conclusion logically follows?
By combining the premises logically:
• No reptiles are warm-blooded
• All snakes are reptiles
• Python is a snake

We can deduce: Python is not warm-blooded

This uses 3-step logical reasoning, applying transitive properties and categorical logic.
syllogism, chain-reasoning
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