# Competitive Exams: Philosphy MCQs (Practice_Test 10 of 90)

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Consider the proof:

p- (q-r) P

~ s- (r-t) P

p-s P

~ s p/-q-t

~ p

q-r

q-t

q-t

Steps: 1 and 5: Disjunctive syllogism, 2 and 4: Modus Ponens, 3 and 4: Modus Tollens, 6 and 7: Hypothetical Syllogism. Which of the above steps are correct?

1, 2 and 3

2, 3 and 4

1, 3 and 4

1, 2, 3 and 4

From which one of the following is logically derived?

(R-T) (Q-R).

(S-T). ~ R. ~ S

(R T) -~ T

(S R) ~ S

Consider the following arguments:

Either the Principal has not noticed the change in the schedule of admissions or he approves of it. He has actually noticed the change. He has approved of it.

Either the Principal has not noticed the change in the schedule of admissions or he approves of it. He approves of it. He has noticed it.

Either the Principal has not noticed the change in the schedule of admissions or he approves of it. He has not approved of it. He has not noticed it.

Either the Principal has not noticed the change in the schedule of admissions, or he approves of it. He has not noticed it. He has not approved of it.

Which of the above statements are valid?

1, 2 and 4

2, 3 and 4

3 and 4

1 and 3

Which one of the following an be validly deduced from the premises S-T and S-T?

T

~ T

~ S

S