Can Film Actors Be Poets As Well?

Logic Level 2

(1). No film actors are Cricketers.
(2). Some cricketers are poets.

If the statements above are true, then which of the following must be true?

All film actors are poets All poets are film actors Some poets are film actors Some poets are not film actors

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3 solutions

If some cricketers are poets, but no film actors are cricketers, then it follows that no film actors are poets.

In other words, no poets are film actors. So, it's true to say that some poets are not film actors.

Munem Shahriar
Aug 30, 2017

We can easily rule out first and second option with given details in the problem.

If some cricketers are poets then they can't be film actors because the problem says ''No film actors are cricketers.''

T Sidharth
Jul 18, 2016

This can be easily understood by Venn diagrams

This is one configuration

This is another

It is clear that in either of the configurations there is always a possibility that some poets are not part of the film actors

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