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

0

Answer

5

Answer

13

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

James is a certified technician

Answer

James may still be certified

Answer

The exam does not determine certification

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

2

Answer

4

Answer

6

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

C is false

Answer

C may or may not be true

Answer

A 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

Alice, Dan, Bob, Carol

Answer

Bob, Alice, Dan, Carol

Answer

Dan, Alice, Bob, Carol

Question 6

Some X are Y. Some Y are Z. What can definitely be concluded?

Accepted Answer

Nothing definite about X and Z

Answer

Some X are Z

Answer

No X are Z

Answer

All X are Z

Question 7

A rule states: employees who work overtime get a bonus OR a day off, but not both. Lisa got a bonus. What is true?

Accepted Answer

Lisa does not get a day off

Answer

Lisa also gets a day off

Answer

Lisa may get both

Answer

Lisa did not work overtime