Logical Deduction Problems Flashcards
7 cards from real PI practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Logical Deduction Problems flashcards as text
In a group of 30 people, 18 like coffee and 15 like tea. At least how many like both?
Answer: 3
By inclusion-exclusion: 18 + 15 − 30 = 3, so at least 3 like both.
All certified technicians passed the exam. James did not pass the exam. Which statement is valid?
Answer: James is not a certified technician
By contrapositive, failing the exam means James is not a certified technician.
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?
Answer: 3
1/4 × 12 = 3 red balls.
If neither A nor B is true, then C must be true. A is false and B is false. What follows?
Answer: C is true
Both A and B are false, satisfying the condition, so C must be true.
Four people finish a race: Alice, Bob, Carol, Dan. Alice beats Bob. Dan beats Carol. Bob beats Dan. What is the finishing order?
Answer: Alice, Bob, Dan, Carol
The order is Alice > Bob > Dan > Carol from the three given relationships.
Some X are Y. Some Y are Z. What can definitely be concluded?
Answer: Nothing definite about X and Z
Overlapping 'some' statements don't guarantee any overlap between X and Z.
A rule states: employees who work overtime get a bonus OR a day off, but not both. Lisa got a bonus. What is true?
Answer: Lisa does not get a day off
The exclusive or means if Lisa got the bonus, she cannot also get a day off.