OFAI Logical Reasoning and Deductive Thinking 2 — Questions and Answers
Question 1: Look at the pattern: 3, 6, 12, 24, ___. What is the next number?
- 36
- 42
- 48 (Correct answer)
- 30
Correct answer: 48
Each number is doubled: 3×2=6, 6×2=12, 12×2=24, 24×2=48.
Question 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?
- Day 7
- Day 10
- Day 12 (Correct answer)
- Day 13
Correct 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).
Question 3: No firefighter can operate a ladder truck without a Class E license. Officer Park does not have a Class E license. What follows?
- Officer Park can operate the ladder truck with supervision
- Officer Park cannot operate the ladder truck (Correct answer)
- Officer Park may operate the ladder truck in emergencies
- Class E licenses are only for senior officers
Correct 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.
Question 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?
- Tanker, Engine, Ladder, Rescue (Correct answer)
- Engine, Tanker, Ladder, Rescue
- Ladder, Tanker, Engine, Rescue
- Tanker, Ladder, Engine, Rescue
Correct 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.
Question 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?
- Nothing, as long as the alarm works
- The building must be evacuated (Correct answer)
- Only partial evacuation is required
- Wait until the sprinklers are repaired
Correct 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.
Question 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?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Only $500 and $800 exceed $450, so exactly 2 incidents require supervisor sign-off.
Question 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?
- 8
- 9 (Correct answer)
- 10
- 11
Correct answer: 9
Effective reach = 30 - 2 = 28 metres; 28 ÷ 3 = 9.33, so the ladder can safely reach up to the 9th floor.
OFAI Logical Reasoning and Deductive Thinking 2
Look at the pattern: 3, 6, 12, 24, ___.
What is the next number?