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...

chamoritta112 March 8, 2018

Why D?

Why is D the correct answer? E also seems like it could be the answer too. I don't understand how statement E ("some successful entrepreneurs work less than 18 hours a day") could also be true. After all, statement E is diagramed as: SE -some- not WAL18H and the first premise in the stimulus is diagramed as either "SE - most - WAL18H" or "WAL18H - some - SE". I thought quantity statements don't have contrapositives.

Replies
Create a free account to read and take part in forum discussions.

Already have an account? log in

Mehran March 8, 2018

@chamoritta112 (D) says, "Some entrepreneurs who work at least 18 hours a day are happy."

This cannot be true because we know that anyone who works at least 18 hours a day does not have time for leisure activities and any entrepreneur who does not have time for leisure activities is not a happy entrepreneur.

W>18hrs ==> not LA ==> not HE

(D) is saying W>18hrs-some-HE which directly conflicts (i.e. shows sufficient without necessary).

Let's compare with (E), "Some successful entrepreneurs work less than 18 hours a day."

Nothing in the stimulus conflicts with (E) so (E) could be true.

The fact that "most successful entrepreneurs work at least 18 hours a day" that does not rule out the possibility that there is a successful entrepreneur who works less than 18 hours per day.

Hope that helps! Please let us know if you have any other questions.

chamoritta112 March 9, 2018

Thanks for the explanation!