PI - Cognitive Assessment Logical Deduction Problems 2

Question 1

All managers attend the conference. Sarah is a manager. Which conclusion must be true?

Accepted Answer

Sarah attends the conference

Answer

Since all managers attend the conference and Sarah is a manager, Sarah must attend the conference. This is a direct syllogism.

Question 2

If it rains, the game is cancelled. The game was not cancelled. What can you conclude?

Accepted Answer

It did not rain

Answer

This is modus tollens: If P then Q. Not Q. Therefore, not P. Since the game wasn't cancelled, it didn't rain.

Question 3

Tom is taller than Jerry. Jerry is taller than Sam. Mike is shorter than Sam. Who is the tallest?

Accepted Answer

Tom

Answer

Ordering from tallest to shortest: Tom > Jerry > Sam > Mike. Tom is the tallest.

Question 4

In a group of 30 people, 18 speak English, 15 speak French, and 5 speak neither. How many speak both languages?

Accepted Answer

8

Answer

People who speak at least one language: 30 - 5 = 25. Using inclusion-exclusion: 18 + 15 - both = 25, so both = 8.

Question 5

No reptiles are mammals. All snakes are reptiles. Which conclusion is valid?

Accepted Answer

No snakes are mammals

Answer

Since no reptiles are mammals and all snakes are reptiles, no snakes can be mammals.

PI - Cognitive Assessment Practice Test