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Statement & Inference - Intermediate-Advanced Level: problem decomposition INTERMEDIATE-ADVANCED

Strategic expert challenge ★ for statement & inference: 20 intermediate-advanced-level problems. Worksheet 19 of 30 - Focus: problem decomposition. Develop expertise in exam preparation, competitive exams, aptitude training with step-by-step solutions. Ideal for advanced developing learners targeting advanced concepts with increasing complexity.

📝 Worksheet 19 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Statement & Inference
Worksheet 19 of 30 (63% complete)

Question 1

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 2

Statement: After the city installed speed cameras, traffic accidents decreased by 30% in one year. The city budget was $50M, of which $2M went to camera installation. Inference: 'The speed cameras likely caused the decrease in accidents' Is this inference valid based on the statement?
Yes — Temporal correlation and plausible mechanism support this inference
inference, overreach, validity, evidence

Question 3

Statement: After the city installed speed cameras, traffic accidents decreased by 30% in one year. The city budget was $50M, of which $2M went to camera installation. Inference: 'The speed cameras were worth the investment' Does this inference go beyond what the statement supports?
Yes — Would need cost-benefit analysis including value of prevented accidents
inference, overreach, validity, evidence

Question 4

Statement: Patient's temperature was 102°F on Monday, 100°F on Tuesday, 99°F on Wednesday, and normal on Thursday. What temporal inference can be made?
Examining the chronological data, 'Recovery followed a clear pattern' represents the most accurate temporal inference.
inference, temporal, trends

Question 5

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 6

Statement: Historical data shows: 80% of startups fail within 2 years. Companies with experienced founders have 60% success rate. Startups with funding have 70% survival rate. TechCorp is a funded startup with experienced founders. What probabilistic inference is most valid?
Considering the probabilistic data and multiple variables, 'Multiple positive factors favor TechCorp' represents the most comprehensive inference.
inference, probabilistic, multi-variable

Question 7

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 8

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 9

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 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

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 12

Statement: The factory will close down if the strike continues for more than a week. The strike has been going on for 10 days. Which inference can be drawn directly?
Based on the given statement, 'The factory will close down' is the direct logical inference without additional assumptions.
inference, logical, direct

Question 13

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 14

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 15

Statement: Patient's temperature was 102°F on Monday, 100°F on Tuesday, 99°F on Wednesday, and normal on Thursday. What temporal inference can be made?
Examining the chronological data, 'Recovery followed a clear pattern' represents the most accurate temporal inference.
inference, temporal, trends

Question 16

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 17

Statement: Patient's temperature was 102°F on Monday, 100°F on Tuesday, 99°F on Wednesday, and normal on Thursday. What temporal inference can be made?
Examining the chronological data, 'Recovery followed a clear pattern' represents the most accurate temporal inference.
inference, temporal, trends

Question 18

Statement: Historical data shows: 80% of startups fail within 2 years. Companies with experienced founders have 60% success rate. Startups with funding have 70% survival rate. TechCorp is a funded startup with experienced founders. What probabilistic inference is most valid?
Considering the probabilistic data and multiple variables, 'Multiple positive factors favor TechCorp' represents the most comprehensive inference.
inference, probabilistic, multi-variable

Question 19

Statement: Patient's temperature was 102°F on Monday, 100°F on Tuesday, 99°F on Wednesday, and normal on Thursday. What temporal inference can be made?
Examining the chronological data, 'Recovery followed a clear pattern' represents the most accurate temporal inference.
inference, temporal, trends

Question 20

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
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