Question 17

Let P. Q, R and S be statements such that
(i) if both P and Q are true then R is false and
(ii) if P is false then S is false
Suppose R is true. Then which of the following necessarily holds?

Solution

Since R is true, then, both P and Q cannot be true together.

Also, using statement (ii), we can draw out the following cases:

Now, evaluating the given options,

only option 4 is true in all the four cases.

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