Answer
The student will pass the test if the system is consistent. The system is consistent if none of the statements contradict each other.
The student will then pass the test, if he/ she uses one of the $8$ answer options in the last $3$ ( yellow )columns of the given table (note: sequence $1$ occurs four times in the truth table and sequence 2 twice)
Sequence $1: F, T, F, T$
Sequence $2: T, T, T, T$
Sequence $3: T, T, F, T $
Sequence $4: F, F, F, F$
Sequence $5: F, F, T, F$
Sequence $6: F, T, T, T$
$T$=accepts and $F$=rejects.
Work Step by Step
The student will pass the test if the system is consistent. The system is consistent if none of the statements contradict each other.
The student will then pass the test, if he/ she uses one of the $8$ answer options in the last $3$ ( yellow )columns of the given table (note: sequence $1$ occurs four times in the truth table and sequence 2 twice)
Sequence $1: F, T, F, T$
Sequence $2: T, T, T, T$
Sequence $3: T, T, F, T $
Sequence $4: F, F, F, F$
Sequence $5: F, F, T, F$
Sequence $6: F, T, T, T$
$T$=accepts and $F$=rejects.
