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Statement & Inference - Beginner Level: tricky variations BEGINNER

Level up your statement & inference skills with this entry level practice. 20 beginner-level problems await in Worksheet 4 of 30. Focus area: tricky variations. Learn practice tests, exam preparation, competitive exams through systematic practice. Designed for entry-level learners seeking foundational concepts and basic patterns.

📝 Worksheet 4 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Statement & Inference
Worksheet 4 of 30 (13% complete)

Question 1

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 2

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 safe for all patients' Does this inference go beyond what the statement supports?
Yes — Side effects exist; long-term safety unknown
inference, overreach, validity, evidence

Question 3

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 4

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 5

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 6

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 7

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 8

Statement: A survey of 10,000 households found that 70% own smartphones, 50% own tablets, and 30% own both devices. Which inference is correct?
Using set theory principles and mathematical logic, 'All of the above are correct' can be inferred from the given data.
inference, statistical, sets

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 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 10

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 11

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 12

Facts: Sales decreased 20% last quarter. Customer satisfaction scores dropped 15%. Competitor launched similar product at 30% lower price. Marketing budget was cut by 40%. Which explanation is MOST plausible given these facts?
The most plausible explanation is: 'The competitor's lower-priced product captured market share' because Directly explains sales decrease; price competition affects both sales and satisfaction. Abductive reasoning seeks the inference that best explains all observed facts with fewest assumptions.
inference, abductive, explanation, plausibility

Question 13

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 14

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

Question 15

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 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: In a company of 500 employees, 300 work in sales, 200 in marketing, and 100 in both departments. 50 work in neither department. Which inference is correct?
Using set theory principles and mathematical logic, 'Both A and B are correct' 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: Companies that adopt flexible working see 25% increase in productivity. Employee satisfaction rises by 30% with flexible hours. Remote work reduces operational costs by 15%. Company Z implemented full flexible working policy. What can be reasonably inferred?
Following the causal chains presented in the statement, 'All outcomes are likely for Company Z' represents the most comprehensive and logical inference.
inference, causal, complex

Question 20

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
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