Question

In each question below are given two or three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts. Give answer
Statements:
I. Some tigers are panthers.
II. No lion is a tiger.
Conclusions
I. Some panthers being lions is a possibility.
II. Panthers, which are not tigers, being lions is a possibility.

• A. if only conclusion I follows.
• B. if only conclusion II follows.
• C. if either conclusion I or conclusion II follows.
• D. if neither conclusion I nor conclusion II follows.
• E. if both conclusion I and conclusion II follow.

Answer 1

The correct option is E if both conclusion I and conclusion II follow.

Let $Tigers=T$, $Panthers=P$ and $Lions=L$.

Staements:

$1)T\cap P\ne \Phi$

$2)T\cap L=\Phi$

Conclusion-I : $P\cap L\ne \Phi$

which doesn't contradict any statements.

So, some panthers beig lion is a possibility.

So, Conclusion-I follows.

Conclusion-II : $(P-P\cap T)\cap L\ne \Phi$

$\Rightarrow P\cap L-P\cap T\cap L\ne \Phi$

$\Rightarrow P\cap L-P\cap \Phi \ne \Phi$

$\Rightarrow P\cap L\ne \Phi$ which is same as Conclusion-II.

So, both conclusions follow. $\left[E\right]$