Quantifiers Questions - - Question 21

Most successful entrepreneurs work at least 18 hours a day, and no one who works at least 18 hours a day has time for...

izyat June 30, 2019

Ruling out incorrect questions

Can provide an explanation for how to solve this question? It seems like A would not be true as well.

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Ravi June 30, 2019

@izyat,

Happy to help. Let's take a look at (A) and (D).

Here's how we can diagram the stimulus:

SE - most - >18+ hours

18+ hours - ->no leisure time

HE - >time for leisure

There are several conclusions that we can make from the premises of
the stimulus.

The first thing we can conclude from the first and second premises is
that most successful entrepreneurs don't have time for leisure. Also,
from the second premise and contrapositive of the third premise, we
can conclude that anyone who is working 18+ hours a day isn't a happy
entrepreneur. Lastly, in combining all of the statements, we can
conclude that most successful entrepreneurs aren't happy
entrepreneurs.

(A) says, "Anyone who has no time for leisure activities works at
least 18 hours a day."

(A) is the converse of the second premise (it's swapping the
sufficient and necessary conditions for each other). While (A) is not
valid and doesn't have to be true, there is a possibility that it is
true. Remember, we're looking for the answer that CANNOT be true (must
be false).

(D) says, "Some entrepreneurs who work at least 18 hours a day are happy."

One of the conclusions we arrived at was that anyone who is working
18+ hours per day isn't happy, so there is absolutely no way that (D)
could be true. Thus, it's the correct answer choice.

Does this make sense? Let us know if you have any more questions!

Kath October 8, 2019

Do you mean that because anyone who works more than 18 hours - > not happy, then any successful entrepreneurs who work more then 18 hours - > not happy?

I was confused because first diagram 'successful entrepreneurs who work more than 18 hours" as "SE + more than 18 hours". I made the diagram more complex than It should be. And sometimes the questions just trick us. For example, the native Australian parrots. I first diagramed it as "NA + P".

Could you please explain it to us how can we make this easier so we wouldn't be trapped in the real exam?

@Ravi

mprezzy January 3, 2020

Can someone please explain a little further how it is possible that not LA -> W at least 18 hr / per day is a possibly in a CANNOT be true (MBF) question? I still do not understand how that is a possibility.