question_answer

Direction: In each set of question below are two/ three statements followed by two conclusions numbered I and II. You have to take the two / three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

All wires are switches.

No switch Is a plug.

All plugs are chargers.

Conclusions:

I. No plug is a wire.

II. All wires being chargers is a possibility.

A)  if only Conclusion I follows

B)  if only Conclusion II follows

C)  if either Conclusion I or II follows

D)  if neither Conclusion I nor II follows

E)  if both Conclusions I and II follow

Correct Answer: A

Solution :

(i) All wires are switches \[\to \] Universal Affirmative (A-type).

(ii) Some wars are battles \[\to \] Particular Affirmative (I-type).

(iii) No switch is a plug \[\to \] Universal Negative (E-type).

(iv) Some switches are not plugs \[\to \] Particular Negative (O-type).

\[A\text{ }+\text{ }E\Rightarrow ~E-\]type of Conclusion "No wire is a plug". (P) \[E+A\text{ }\Rightarrow \text{ }{{O}_{1}}-\]type of Conclusion ?Some chargers are not switches". (Q)  \[E+A\Rightarrow {{O}_{1}}-\]type of Conclusion "Some chargers are not wires". I (R)  Conclusion I is Converse of Conclusion P. On the basis of Conclusion R, we can say that Conclusion II is invalid.