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Logic & Puzzles

A security system uses a boolean expression to arm the alarm: (A AND B) OR (NOT C). If a sensor C fails, always reading TRUE, which outcome follows?

A)Alarm always disarmed, A and B false
B)System relies solely on sensor A
C)Alarm arms only when A and B true
D)Alarm always disarmed, regardless A, B

💡 Explanation

The NOT C term becomes always false because C is always true; therefore, the expression simplifies to (A AND B) OR FALSE, which is equivalent to (A AND B). However, that section is then not OR'd with any other true value, which means regardless of A and B values, the expression would still lead to the alarm always being disarmed, rather than only when A and B are true.

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