PI Logical Deduction Problems 5 — Questions and Answers
Question 1: A sequence follows the rule: each term is the sum of the two before it. The sequence starts 2, 3, 5, 8, __. What is next?
- 10
- 11
- 13 (Correct answer)
- 16
Correct answer: 13
8 + 5 = 13, following the Fibonacci-style rule.
Question 2: Every time the system fails, an alert is sent. An alert was NOT sent. What can be concluded?
- The system failed
- The system did not fail (Correct answer)
- Alerts are unreliable
- The system may have failed
Correct answer: The system did not fail
By contrapositive, no alert means no system failure.
Question 3: Three boxes are labeled A, B, C. A is heavier than C. B is lighter than A. C is heavier than B. Rank from heaviest to lightest.
- A, B, C
- A, C, B (Correct answer)
- C, A, B
- B, C, A
Correct answer: A, C, B
A > C and A > B and C > B, giving the order A, C, B.
Question 4: If sales exceed target, the team gets a bonus. If the team gets a bonus, morale improves. Sales did not exceed the target. What can be said about morale?
- Morale improved
- Morale did not improve
- Morale may or may not have improved (Correct answer)
- Morale always improves
Correct answer: Morale may or may not have improved
The chain only guarantees improvement when sales exceed target; other factors could affect morale.
Question 5: All products with a green label are organic. Product K has no label at all. What is true about Product K?
- Product K is organic
- Product K is not organic
- Product K's organic status is unknown (Correct answer)
- Product K has a different label
Correct answer: Product K's organic status is unknown
The rule only covers green-labeled products; no label means no information about organic status.
Question 6: Of 50 survey respondents, 30 prefer option A and 25 prefer option B, with some preferring both. How many prefer only A?
- 5
- 25
- At least 5
- Cannot be determined without overlap count (Correct answer)
Correct answer: Cannot be determined without overlap count
Without knowing the exact overlap, the number who prefer only A cannot be calculated.
Question 7: Statement: 'If the temperature drops below freezing, the pipes burst.' The pipes did not burst. Which conclusion is valid?
- The temperature dropped below freezing
- The temperature did not drop below freezing (Correct answer)
- The pipes are fine regardless of temperature
- Freezing temperatures are unlikely
Correct answer: The temperature did not drop below freezing
Contrapositive: pipes did not burst → temperature did not drop below freezing.
PI Logical Deduction Problems 5
A sequence follows the rule: each term is the sum of the two before it.
The sequence starts 2, 3, 5, 8, __.
What is next?