PI Logical Deduction Problems 3 ā Questions and Answers
Question 1: A is taller than B. B is taller than C. C is taller than D. Who is the shortest?
- A
- B
- C
- D (Correct answer)
Correct answer: D
The chain A > B > C > D places D at the bottom.
Question 2: If the alarm is on, the door is locked. If the door is locked, no one can enter. The alarm is on. What follows?
- Someone can enter
- No one can enter (Correct answer)
- The door might be open
- The alarm may turn off
Correct answer: No one can enter
Alarm on ā door locked ā no one can enter, so no one can enter.
Question 3: Exactly three people ā X, Y, Z ā are standing in a line. X is not first. Z is not last. Y is not second. What is the order?
- X, Y, Z
- Z, X, Y (Correct answer)
- Y, Z, X
- Z, Y, X
Correct answer: Z, X, Y
Z must be first or second; since Y is not second and X is not first, the order is Z, X, Y.
Question 4: All A are B. No B are C. Therefore:
- Some A are C
- No A are C (Correct answer)
- All C are A
- Some B are A
Correct answer: No A are C
All A fall within B, and no B are C, so no A can be C.
Question 5: Five tasks must finish before task 6. Tasks 1 and 3 depend on task 2. Task 2 depends on task 4. What must be done first?
- Task 1
- Task 3
- Task 4 (Correct answer)
- Task 6
Correct answer: Task 4
Task 4 has no listed dependencies and must precede task 2, which precedes tasks 1 and 3.
Question 6: Either the report is late or the data is incorrect ā but not both. The report is not late. What is true?
- The data is correct
- The data is incorrect (Correct answer)
- Both conditions are false
- The report may still be late
Correct answer: The data is incorrect
The exclusive or means exactly one is true; since the report is not late, the data must be incorrect.
Question 7: P implies Q. Q implies R. R is false. What can be deduced?
- P is true
- Q is true
- P is false (Correct answer)
- R may still be true
Correct answer: P is false
R false ā Q false (contrapositive QāR) ā P false (contrapositive PāQ).
PI Logical Deduction Problems 3
A is taller than B.
B is taller than C.
C is taller than D.
Who is the shortest?