ITPEC FE Subject A October 2024 Question 1

Source exam: ITPEC FE Subject A October 2024Topic: Basic Theory & Math

ITPEC FE Subject A October 2024 — Question 1 of 60

Propositional Logic — determine truth values from given conditions.

Given: P = True, (not P) or Q = True, (not Q) or R = True.

  • not P = FalseFalse or Q = TrueQ = True
  • not Q = FalseFalse or R = TrueR = True

Result: Q = True, R = True → (d)

Why not others:
- (a) Q=False, R=FalseFalse or False = False, violates first condition

- (b) Q=False, R=TrueFalse or False = False, violates first condition

- (c) Q=True, R=FalseFalse or False = False, violates second condition

Key rule: When X or Y = True and X = False, then Y must be True.

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