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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
  1. 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.

  2. 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.

  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?

    Answer: 3

    1/4 × 12 = 3 red balls.

  4. 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.

  5. 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.

  6. 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.

  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?

    Answer: Lisa does not get a day off

    The exclusive or means if Lisa got the bonus, she cannot also get a day off.