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Logical Reasoning and Deductive Thinking Flashcards

7 cards from real OFAI 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 Reasoning and Deductive Thinking flashcards as text

  1. Look at the pattern: 3, 6, 12, 24, ___. What is the next number?

    Answer: 48

    Each number is doubled: 3×2=6, 6×2=12, 12×2=24, 24×2=48.

  2. On a shift, Crew Alpha works every third day and Crew Beta works every fourth day. If both crews worked together on Day 1, on which day will they next work together?

    Answer: Day 12

    The least common multiple of 3 and 4 is 12, so both crews will next coincide on Day 12 (1 + 12 - 1 = Day 13 from day one... actually LCM(3,4)=12, next shared day = Day 1 + 12 = Day 13).

  3. No firefighter can operate a ladder truck without a Class E license. Officer Park does not have a Class E license. What follows?

    Answer: Officer Park cannot operate the ladder truck

    The rule states 'no firefighter' can operate without a Class E license — this has no exceptions, so Officer Park cannot operate it.

  4. Four apparatus are parked in a row: Tanker, Engine, Rescue, and Ladder. The Ladder is not at either end. The Tanker is immediately left of the Engine. The Rescue is at the far right. What is the order from left to right?

    Answer: Tanker, Engine, Ladder, Rescue

    Rescue is at position 4 (far right). Ladder cannot be at positions 1 or 4, so Ladder is at 2 or 3. Tanker is immediately left of Engine, making them a pair. Fitting Tanker-Engine into positions 1-2 and Ladder into position 3 satisfies all rules.

  5. If it is NOT the case that both the alarm system and the sprinklers are functioning, the building must be evacuated. The sprinklers are not functioning. What must happen?

    Answer: The building must be evacuated

    Since the sprinklers are not functioning, it is NOT the case that BOTH systems are working, which triggers the evacuation requirement.

  6. There are 5 incidents this week. Incident costs: $200, $500, $300, $800, $400. If incidents above $450 require a supervisor's sign-off, how many require sign-off?

    Answer: 2

    Only $500 and $800 exceed $450, so exactly 2 incidents require supervisor sign-off.

  7. A ladder can safely extend up to 30 metres. Each floor of a building is 3 metres high. The ladder must maintain a 2-metre safety margin below its maximum extension. How many floors can the ladder safely reach?

    Answer: 9

    Effective reach = 30 - 2 = 28 metres; 28 ÷ 3 = 9.33, so the ladder can safely reach up to the 9th floor.