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Statement & Inference - Advanced Level: common mistakes to avoid ADVANCED

Master statement & inference concepts through this hard problem set practice set. Worksheet 26 of 30 contains 20 advanced-level problems. Deep dive into common mistakes to avoid while learning exam preparation, competitive exams, aptitude training. Recommended for advanced learners aiming for complex scenarios and multi-step problems.

📝 Worksheet 26 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Statement & Inference
Worksheet 26 of 30 (86% complete)

Question 1

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 2

Statement: School X has 95% pass rate with 500 students. School Y has 90% pass rate with 1000 students. School Z has 85% pass rate with 200 students. What can be inferred from this comparison?
Analyzing the comparative data, 'Each school has distinct advantages' captures the key insight from the comparison.
inference, comparative, analysis

Question 3

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 4

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 5

Facts: The office coffee pot is empty at 10 AM. It was full at 9 AM. No one is currently in the break room. Three coffee cups with residue are in the sink. Which explanation is MOST plausible given these facts?
The most plausible explanation is: 'Someone drank all the coffee and didn't make more' because Directly explains empty pot and used cups. Abductive reasoning seeks the inference that best explains all observed facts with fewest assumptions.
inference, abductive, explanation, plausibility

Question 6

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: 'No other factors contributed to the accident decrease' Does this inference go beyond what the statement supports?
Yes — Other factors (better roads, safer cars) could also play a role
inference, overreach, validity, evidence

Question 7

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 8

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 9

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 10

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 11

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 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

Statement: School X has 95% pass rate with 500 students. School Y has 90% pass rate with 1000 students. School Z has 85% pass rate with 200 students. What can be inferred from this comparison?
Analyzing the comparative data, 'Each school has distinct advantages' captures the key insight from the comparison.
inference, comparative, analysis

Question 14

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 15

Statement: School X has 95% pass rate with 500 students. School Y has 90% pass rate with 1000 students. School Z has 85% pass rate with 200 students. What can be inferred from this comparison?
Analyzing the comparative data, 'Each school has distinct advantages' captures the key insight from the comparison.
inference, comparative, analysis

Question 16

Statement: Sales increased 20% in Q1, decreased 10% in Q2, and increased 15% in Q3. Q4 typically shows 25% growth due to holiday season. What temporal inference can be made?
Examining the chronological data, 'Growth pattern shows recovery' represents the most accurate temporal inference.
inference, temporal, trends

Question 17

Facts: The office coffee pot is empty at 10 AM. It was full at 9 AM. No one is currently in the break room. Three coffee cups with residue are in the sink. Which explanation is MOST plausible given these facts?
The most plausible explanation is: 'Someone drank all the coffee and didn't make more' because Directly explains empty pot and used cups. Abductive reasoning seeks the inference that best explains all observed facts with fewest assumptions.
inference, abductive, explanation, plausibility

Question 18

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 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: Sales increased 20% in Q1, decreased 10% in Q2, and increased 15% in Q3. Q4 typically shows 25% growth due to holiday season. What temporal inference can be made?
Examining the chronological data, 'Growth pattern shows recovery' represents the most accurate temporal inference.
inference, temporal, trends
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