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Statement & Inference - Expert Level: exam-oriented practice EXPERT

Strategic basic drills ★ for statement & inference: 20 expert-level problems. Worksheet 29 of 30 - Focus: exam-oriented practice. Develop expertise in reasoning questions, logical thinking, problem solving with step-by-step solutions. Ideal for expert-level learners targeting challenging problems and time-bound practice.

📝 Worksheet 29 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Statement & Inference
Worksheet 29 of 30 (96% complete)

Question 1

Statement: Product A costs $100 and has 5-star rating. Product B costs $150 and has 4-star rating. Product C costs $80 and has 3-star rating. What can be inferred from this comparison?
Analyzing the comparative data, 'All of the above can be inferred' captures the key insight from the comparison.
inference, comparative, analysis

Question 2

Statement: Cities with more green spaces have better air quality. Better air quality correlates with lower respiratory diseases. Investment in parks reduces urban heat by 3-5°C. City M plans to triple its green coverage. What can be reasonably inferred?
Following the causal chains presented in the statement, 'Multiple positive effects are expected' represents the most comprehensive and logical inference.
inference, causal, complex

Question 3

Statement: Airport delays: 15% of flights delayed in good weather, 45% in bad weather, 60% during peak hours. Tomorrow has bad weather forecast during peak travel time. What probabilistic inference is most valid?
Considering the probabilistic data and multiple variables, 'Multiple risk factors coincide' represents the most comprehensive inference.
inference, probabilistic, multi-variable

Question 4

Statement: Medical screening: Test A detects 90% of cases but has 5% false positives. Test B detects 85% of cases with 2% false positives. Combining both tests increases accuracy to 95% with 1% false positives. What probabilistic inference is most valid?
Considering the probabilistic data and multiple variables, 'All assessments are accurate' represents the most comprehensive inference.
inference, probabilistic, multi-variable

Question 5

Statement: The project was scheduled for completion in March. Due to delays, it was extended to June. Additional complications arose in May, requiring another 3-month extension. What temporal inference can be made?
Examining the chronological data, 'All inferences are reasonable' represents the most accurate temporal inference.
inference, temporal, trends

Question 6

Statement: Product A costs $100 and has 5-star rating. Product B costs $150 and has 4-star rating. Product C costs $80 and has 3-star rating. What can be inferred from this comparison?
Analyzing the comparative data, 'All of the above can be inferred' captures the key insight from the comparison.
inference, comparative, analysis

Question 7

Statement: In a double-blind study of 1000 patients, Treatment X reduced symptoms in 80% compared to 30% for placebo (p < 0.001). Side effects occurred in 5% of patients. Inference: 'Treatment X will work for everyone with the condition' Does this inference go beyond what the statement supports?
Yes — 20% didn't respond; individual results vary
inference, overreach, validity, evidence

Question 8

Statement: Airport delays: 15% of flights delayed in good weather, 45% in bad weather, 60% during peak hours. Tomorrow has bad weather forecast during peak travel time. What probabilistic inference is most valid?
Considering the probabilistic data and multiple variables, 'Multiple risk factors coincide' represents the most comprehensive inference.
inference, probabilistic, multi-variable

Question 9

Statement: Route A: 50 km, 1 hour, $10 toll. Route B: 60 km, 45 minutes, $15 toll. Route C: 40 km, 1.5 hours, no toll. What can be inferred from this comparison?
Analyzing the comparative data, 'Each route has trade-offs' captures the key insight from the comparison.
inference, comparative, analysis

Question 10

Statement: No student who misses more than 5 classes can appear for the final exam. Tom missed 7 classes. Which inference can be drawn directly?
Based on the given statement, 'Tom cannot appear for the final exam' is the direct logical inference without additional assumptions.
inference, logical, direct

Question 11

Facts: The front door is unlocked. The TV is on. A window is broken in the back. A laptop is missing from the desk. Dog is barking aggressively. Which explanation is MOST plausible given these facts?
The most plausible explanation is: 'A burglar broke in through the back window and stole the laptop' because Explains broken window, missing laptop, unlocked door (exit), and dog's reaction. Abductive reasoning seeks the inference that best explains all observed facts with fewest assumptions.
inference, abductive, explanation, plausibility

Question 12

Statement: Regions with higher education spending have lower crime rates. Countries that invest more in education see reduced unemployment. Education funding has increased by 40% in State X over the past 5 years. What can be reasonably inferred?
Following the causal chains presented in the statement, 'Both A and B can be inferred' represents the most comprehensive and logical inference.
inference, causal, complex

Question 13

Facts: The front door is unlocked. The TV is on. A window is broken in the back. A laptop is missing from the desk. Dog is barking aggressively. Which explanation is MOST plausible given these facts?
The most plausible explanation is: 'A burglar broke in through the back window and stole the laptop' because Explains broken window, missing laptop, unlocked door (exit), and dog's reaction. Abductive reasoning seeks the inference that best explains all observed facts with fewest assumptions.
inference, abductive, explanation, plausibility

Question 14

Statement: If it rains tomorrow, the picnic will be cancelled. The weather forecast shows heavy rain for tomorrow. Which inference can be drawn directly?
Based on the given statement, 'The picnic will be cancelled' is the direct logical inference without additional assumptions.
inference, logical, direct

Question 15

Statement: The project was scheduled for completion in March. Due to delays, it was extended to June. Additional complications arose in May, requiring another 3-month extension. What temporal inference can be made?
Examining the chronological data, 'All inferences are reasonable' represents the most accurate temporal inference.
inference, temporal, trends

Question 16

Statement: Medical screening: Test A detects 90% of cases but has 5% false positives. Test B detects 85% of cases with 2% false positives. Combining both tests increases accuracy to 95% with 1% false positives. What probabilistic inference is most valid?
Considering the probabilistic data and multiple variables, 'All assessments are accurate' represents the most comprehensive inference.
inference, probabilistic, multi-variable

Question 17

Statement: Medical study: Out of 1000 patients, 600 recovered with Treatment A, 500 with Treatment B, 300 with both treatments, and 100 with neither. Which inference is correct?
Using set theory principles and mathematical logic, 'All inferences are valid' can be inferred from the given data.
inference, statistical, sets

Question 18

Statement: All vegetarians avoid meat. Sarah is a vegetarian. Which inference can be drawn directly?
Based on the given statement, 'Sarah avoids meat' is the direct logical inference without additional assumptions.
inference, logical, direct

Question 19

Statement: A survey of 500 adults found that 60% prefer coffee over tea, 25% prefer tea, and 15% drink neither. The survey had a margin of error of ±4%. Inference: 'Young adults prefer coffee more than older adults' Does this inference go beyond what the statement supports?
Yes — The survey didn't measure age breakdowns
inference, overreach, validity, evidence

Question 20

Statement: In a double-blind study of 1000 patients, Treatment X reduced symptoms in 80% compared to 30% for placebo (p < 0.001). Side effects occurred in 5% of patients. Inference: 'Treatment X is better than no treatment' Is this inference valid based on the statement?
Yes — 80% vs 30% for placebo (which is effectively no treatment comparison)
inference, overreach, validity, evidence
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