ReasoningAbility.com

Inference - Beginner-Intermediate Level: implicit information BEGINNER-INTERMEDIATE

Quick intensive drill ★ session: 20 beginner-intermediate-level inference questions. Worksheet 7 of 30 - Focus: implicit information. Practice implicit information, conclusion drawing, logical deduction with instant feedback. Great for developing students needing building on fundamentals with moderate challenges practice.

📝 Worksheet 7 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Inference
Worksheet 7 of 30 (23% complete)

Question 1

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 2

Statistical information: 80% of startups fail within 3 years. Alex just started a company. What is the most reasonable inference?
This is probabilistic reasoning. The statistical evidence (80% of startups fail within 3 years. Alex just started a company.) doesn't guarantee certainty, but it provides strong support for: Alex's company will probably fail within 3 years

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

Question 3

Analogical reasoning: "Learning a language is like learning an instrument." What is the most reasonable inference by analogy?
This uses analogical reasoning: Learning a language is like learning an instrument.

The analogy maps relationships from the source domain to the target domain, suggesting: Both require consistent practice, feedback loops, and progressive skill building

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

Given these logical premises: • All A are B • No B are C • All D are A • Some E are D Which statement must be true?
This requires multi-step logical deduction:
• All A are B
• No B are C
• All D are A
• Some E are D

Applying logical rules (modus ponens, modus tollens, contrapositive, transitive property, quantifier logic), we can conclude: Some E are not C
multi-step, quantifier, modal

Question 5

Given: If it rains, the ground gets wet. It is raining. What can you logically conclude?
This is a direct inference. The conclusion follows necessarily from the premise: "If it rains, the ground gets wet. It is raining." leads to "The ground is wet" because the premise establishes a universal relationship and then confirms the condition.
direct, deductive, modus-ponens

Question 6

Rule: If you eat sugar, your energy increases Observation: Tom's energy didn't increase What can you logically infer?
This uses the contrapositive rule. The statement "If you eat sugar, your energy increases" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Tom's energy didn't increase" (the consequence is false), we can conclude "Tom didn't eat sugar" (the condition is false).
contrapositive, modus-tollens

Question 7

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 8

Consider these premises: • All doctors are educated • Some educated people are rich • Dr. Smith is a doctor Which conclusion logically follows?
By combining the premises logically:
• All doctors are educated
• Some educated people are rich
• Dr. Smith is a doctor

We can deduce: Dr. Smith is educated

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

Question 9

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 10

Observation: The patient has a fever and cough. Possible diagnoses: common cold, flu, COVID-19, or pneumonia. Which is the most reasonable inference about the cause?
This is abductive reasoning (inference to the best explanation). Given the observation 'The patient has a fever and cough. Possible diagnoses: common cold, flu, COVID-19, or pneumonia.', we consider possible causes and select the most plausible one. The flu is a likely diagnosis (given typical seasonal presentation) is the best explanation because it's the most common, simplest, or most likely cause.
abduction, best-explanation, diagnosis

Question 11

Statistical finding: A poll of 500 adults found 60% prefer product A over product B. What can you infer about the population?
This uses statistical inference: from a representative sample, we can make probabilistic claims about the population. Product A is likely preferred by most adults (within margin of error) is the appropriate inference, accounting for sampling error and confidence levels.
sampling, generalization, confidence

Question 12

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 13

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 14

Consider this argument: "She scored 100% on the test. She must be very intelligent." What unstated assumption must be true for this reasoning to be valid?
The argument makes a hidden assumption: High test scores indicate high intelligence (and the test was a valid measure of intelligence)

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

Given: If you touch fire, you get burned. Tom touched fire. What can you logically conclude?
This is a direct inference. The conclusion follows necessarily from the premise: "If you touch fire, you get burned. Tom touched fire." leads to "Tom got burned" because the premise establishes a universal relationship and then confirms the condition.
direct, deductive, modus-ponens

Question 16

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 17

Analogical reasoning: "Neurons transmit signals in the brain like wires transmit electricity." What is the most reasonable inference by analogy?
This uses analogical reasoning: Neurons transmit signals in the brain like wires transmit electricity.

The analogy maps relationships from the source domain to the target domain, suggesting: Neurons form a biological wiring system for information transmission

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

Question 18

Consider this argument: "The new restaurant is always crowded. The food must be excellent." What unstated assumption must be true for this reasoning to be valid?
The argument makes a hidden assumption: Crowded restaurants indicate excellent food (and not factors like location, price, or marketing)

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 19

Statistical finding: A poll of 500 adults found 60% prefer product A over product B. What can you infer about the population?
This uses statistical inference: from a representative sample, we can make probabilistic claims about the population. Product A is likely preferred by most adults (within margin of error) is the appropriate inference, accounting for sampling error and confidence levels.
sampling, generalization, confidence

Question 20

Consider this argument: "She scored 100% on the test. She must be very intelligent." What unstated assumption must be true for this reasoning to be valid?
The argument makes a hidden assumption: High test scores indicate high intelligence (and the test was a valid measure of intelligence)

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
Previous Worksheet Next Worksheet