PI Logical Deduction Problems 2 — Questions and Answers
Question 1: All managers attend weekly meetings. Sarah does not attend weekly meetings. What can be concluded?
- Sarah is a manager
- Sarah is not a manager (Correct answer)
- Sarah attends monthly meetings
- Sarah's schedule is unknown
Correct answer: Sarah is not a manager
Since all managers attend weekly meetings and Sarah does not, Sarah cannot be a manager.
Question 2: If it rains, the ground gets wet. The ground is not wet. What must be true?
- It is raining
- It did not rain (Correct answer)
- It will rain later
- The ground is dry for another reason
Correct answer: It did not rain
By contrapositive, if the ground is not wet, then it did not rain.
Question 3: Every employee in Department A has a security badge. Tom has a security badge. What can be concluded?
- Tom is in Department A
- Tom may or may not be in Department A (Correct answer)
- Tom is not in Department A
- All employees have security badges
Correct answer: Tom may or may not be in Department A
Having a security badge does not guarantee membership in Department A, since others may also have badges.
Question 4: No reptiles are warm-blooded. All snakes are reptiles. Therefore:
- Some snakes are warm-blooded
- No snakes are warm-blooded (Correct answer)
- Some reptiles are snakes
- Warm-blooded animals are not reptiles
Correct answer: No snakes are warm-blooded
Since all snakes are reptiles and no reptiles are warm-blooded, no snakes are warm-blooded.
Question 5: Only seniors can apply for the leadership program. Maria applied for the leadership program. What is true?
- Maria is a senior (Correct answer)
- Maria may not be a senior
- Maria was rejected
- The program is for all students
Correct answer: Maria is a senior
'Only seniors can apply' means applying implies being a senior.
Question 6: All projects submitted on time received funding. Project X did not receive funding. What follows?
- Project X was submitted on time
- Project X was not submitted on time (Correct answer)
- Project X was rejected for quality reasons
- Funding decisions are unrelated to timing
Correct answer: Project X was not submitted on time
By contrapositive, if a project did not receive funding, it was not submitted on time.
Question 7: Some athletes are vegetarians. All vegetarians avoid red meat. What can be concluded?
- All athletes avoid red meat
- No athletes eat red meat
- Some athletes avoid red meat (Correct answer)
- Vegetarians are not athletes
Correct answer: Some athletes avoid red meat
The athletes who are vegetarians also avoid red meat, so some athletes avoid red meat.
PI Logical Deduction Problems 2
All managers attend weekly meetings.
Sarah does not attend weekly meetings.
What can be concluded?