Logical Deduction Problems Flashcards

All managers attend weekly meetings. Sarah does not attend weekly meetings. What can be concluded?

Answer: Sarah is not a manager

Since all managers attend weekly meetings and Sarah does not, Sarah cannot be a manager.

If it rains, the ground gets wet. The ground is not wet. What must be true?

Answer: It did not rain

By contrapositive, if the ground is not wet, then it did not rain.

Every employee in Department A has a security badge. Tom has a security badge. What can be concluded?

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.

No reptiles are warm-blooded. All snakes are reptiles. Therefore:

Answer: No snakes are warm-blooded

Since all snakes are reptiles and no reptiles are warm-blooded, no snakes are warm-blooded.

Only seniors can apply for the leadership program. Maria applied for the leadership program. What is true?

Answer: Maria is a senior

'Only seniors can apply' means applying implies being a senior.

All projects submitted on time received funding. Project X did not receive funding. What follows?

Answer: Project X was not submitted on time

By contrapositive, if a project did not receive funding, it was not submitted on time.

Some athletes are vegetarians. All vegetarians avoid red meat. What can be concluded?

Answer: Some athletes avoid red meat

The athletes who are vegetarians also avoid red meat, so some athletes avoid red meat.