Question 1
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.
Statement & Inference - Beginner Level: common mistakes to avoid BEGINNER
Master statement & inference concepts through this speed drill practice set. Worksheet 6 of 30 contains 20 beginner-level problems. Deep dive into common mistakes to avoid while learning competitive exams, aptitude training, reasoning skills. Recommended for entry-level learners aiming for foundational concepts and basic patterns.
What you'll learn in this worksheet:
- Start with competitive exams fundamentals and build up
- Progress to advanced aptitude training problem-solving
- Challenge yourself with speed drill scenarios
- Deepen understanding of reasoning skills concepts
- Complete the common mistakes to avoid mastery track
Your progress through Statement & Inference
Worksheet 6 of 30 (20% complete)
Question 2
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.
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
Question 4
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.
Question 5
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.
Question 6
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.
Question 7
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.
Question 8
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.
Question 9
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.
Question 10
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.
Question 11
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.
Question 12
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.
Question 13
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.
Question 14
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.
Question 15
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.
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.
Question 17
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.
Question 18
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.
Question 19
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.
Question 20
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.
🎓 Level up your skills with Worksheet 6. Focus: common mistakes to avoid