PI Logical Deduction Problems 4

Question 1

In a group of 30 people, 18 like coffee and 15 like tea. At least how many like both?

Accepted Answer

3

Answer

By inclusion-exclusion: 18 + 15 − 30 = 3, so at least 3 like both.

Question 2

All certified technicians passed the exam. James did not pass the exam. Which statement is valid?

Accepted Answer

James is not a certified technician

Answer

By contrapositive, failing the exam means James is not a certified technician.

Question 3

A box contains red and blue balls. If you draw one ball, the chance it is red is 1/4. There are 12 balls total. How many are red?

Accepted Answer

3

Answer

1/4 × 12 = 3 red balls.

Question 4

If neither A nor B is true, then C must be true. A is false and B is false. What follows?

Accepted Answer

C is true

Answer

Both A and B are false, satisfying the condition, so C must be true.

Question 5

Four people finish a race: Alice, Bob, Carol, Dan. Alice beats Bob. Dan beats Carol. Bob beats Dan. What is the finishing order?

Accepted Answer

Alice, Bob, Dan, Carol

Answer

The order is Alice > Bob > Dan > Carol from the three given relationships.

PI - Cognitive Assessment Practice Test