#2 Testbook Mock Test(DM - Propositional Logic)

Question

Consider the following set of propositions:

I. I carry an umbrella only if it rains.

II. If I carry an umbrella I use it.

III. I get wet in rain only if I don't use umbrella.

IV. It rains today.

Possible conclusion is:

(A) I will not get wet today.

(B) I will get wet today.

(C) I might get wet today.

(D) None of the above.

Comments

 If I carry an umbrella  then I use it. And  if I use umbrella then I will not get wet in rain

Answer 1

Answer : None.

Premises are :

carry umbrella $\rightarrow$ It rains.

carry umbrella $\rightarrow$ I use it

I get wet in rain $\rightarrow$ I don't use umbrella

It rains.

No conclusion can be drawn as no Inference Rule can be used here.

Comments

Answer given by testbook is option (C).

Since no conclusion can be drawn, it means I may or may not get wet today which in other words is I might get wet today. So option (C) seems correct.

---

that is if we Have to choose something for the sake of answering, yes C seems to be ok.

---

But I think this type of ambiguous question will not be asked in gate