question_answer

Direction: Answer the questions based on the following information.

A, B, C and D are to be seated in a row but C and D cannot be together. Also, B cannot be at the third place.

P, Q, R and S are four statements. Relation between these statements is as follows

I. If P is true, than Q must be true.

II. If Q is true, then R must be true.

III. If S is true, then either Q is false or R is false.

Which of the following must be true?

A)  If P is true, then S is false

B)  If S is false, then Q must be true

C)  If Q is true, then P must be true

D)  If R is true, then Q must be true

Correct Answer: A

Solution :

On the basis of the information given in the questions, we find that C and D can take three positions as shown in the diagram following the restriction that C and D cannot be together. If P is true, then both Q and R have to be true. For S to be true, either Q or R must be false. Hence, if P is true, S cannot be true.