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nikaro
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Most successful entrepreneurs work at least 18 hours a day 31 May 2024, 18:29
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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75% (hard)

Question Stats:

53% (02:07) correct 47% (01:46) wrong based on 363 sessions

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­Most successful entrepreneurs work at least 18 hours a day, and no one who works at least 18 hours a day has time for leisure activities. But all happy entrepreneurs have time for leisure activities.

If the statements above are true, each of the following could be true EXCEPT:

(A) Anyone who has no time for leisure activities works at least 18 hours a day.
(B) Some entrepreneurs who work at least 18 hours a day are successful.
(C) Some happy entrepreneurs are successful.
(D) Some entrepreneurs who work at least 18 hours a day are happy.
(E) Some successful entrepreneurs work less than 18 hours a day­
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D
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Most successful entrepreneurs work at least 18 hours a day 01 Jul 2024, 09:46
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is this question from GMAT or LSAT?
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Most successful entrepreneurs work at least 18 hours a day 09 May 2025, 22:14
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KarishmaB chetan2u Bunuel can you please help answering this question.
I've selected A as answer, although D also seems to be correct I don't understand what is wrong here.
We're given 18hrs -> ~leisure. It is a sufficient condition, for 18hrs to work to not have leisure time.
And option A is reversing this condition, which should be making it not true. Hence, I've selected it. Please help
nikaro
­Most successful entrepreneurs work at least 18 hours a day, and no one who works at least 18 hours a day has time for leisure activities. But all happy entrepreneurs have time for leisure activities.

If the statements above are true, each of the following could be true EXCEPT:

(A) Anyone who has no time for leisure activities works at least 18 hours a day.
(B) Some entrepreneurs who work at least 18 hours a day are successful.
(C) Some happy entrepreneurs are successful.
(D) Some entrepreneurs who work at least 18 hours a day are happy.
(E) Some successful entrepreneurs work less than 18 hours a day­
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Most successful entrepreneurs work at least 18 hours a day 09 May 2025, 23:07
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Most successful entrepreneurs work at least 18 hours a day 10 May 2025, 05:40
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­Most successful entrepreneurs work at least 18 hours a day, and no one who works at least 18 hours a day has time for leisure activities. But all happy entrepreneurs have time for leisure activities.

If the statements above are true, each of the following could be true EXCEPT:

Key to getting this question correct is noticing that it involves statements that COULD be true rather than inferences that MUST be true.

To get this question correct, we have to find the choice that COULD NOT be true. Choices that may or may not be true will not be correct.

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

The passage says, "no one who works at least 18 hours a day has time for leisure activities."

At the same time, it does not say that ONLY those who work at least 18 hours a day have no time for leisure activities.

Thus, it could be the case that some who do not work 18 hours a day have no time for leisure activities. So, this choice is tricky because it does not have to be true given what the passage says.

At the same time, this choice is not correct because it COULD be true.

After all, even though the passage doesn't say so, it could be true that anyone who has no time for leisure activities works at least 18 hours a day.

After all, the passage does not indicate that there is anyone who works less than 18 hours a day who has no time for leisure activities.

Eliminate.

(B) Some entrepreneurs who work at least 18 hours a day are successful.

This could be true since the passage says, "Most successful entrepreneurs work at least 18 hours a day."

Since "most" is a specific case of "some," this choice matches what the passage says.

Eliminate.

(C) Some happy entrepreneurs are successful.

The passage says, "Most successful entrepreneurs work at least 18 hours a day."

That information indicates that some successful entrepreneurs do not work at least 18 hours a day.

In that case, some successful entrepreneurs may have time for leisure activities.

In that case, some successful entrepreneurs may be happy.

So, this choice could be true.

Eliminate.

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

This choice is interesting.

After all, the passage says the following:

no one who works at least 18 hours a day has time for leisure activities. But all happy entrepreneurs have time for leisure activities.

If "all happy entrepreneurs have time for leisure activities," then entrepreneurs who do not have time for leisure activities must not be happy.

In that case, if "no one who works at least 18 hours a day has time for leisure activities," then no entrepreneur who works 18 hours a day is happy.

Thus, the information presented by the passage indicates that this choice cannot be true.

Keep.

(E) Some successful entrepreneurs work less than 18 hours a day­.

The passage says, "Most successful entrepreneurs work at least 18 hours a day."

If "most" do, then it follows that some do not.

So, this choice fits what the passage says and thus could be true.

Eliminate.

Correct answer: D
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Most successful entrepreneurs work at least 18 hours a day 11 May 2025, 21:27
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nikaro
­Most successful entrepreneurs work at least 18 hours a day, and no one who works at least 18 hours a day has time for leisure activities. But all happy entrepreneurs have time for leisure activities.

If the statements above are true, each of the following could be true EXCEPT:

(A) Anyone who has no time for leisure activities works at least 18 hours a day.
(B) Some entrepreneurs who work at least 18 hours a day are successful.
(C) Some happy entrepreneurs are successful.
(D) Some entrepreneurs who work at least 18 hours a day are happy.
(E) Some successful entrepreneurs work less than 18 hours a day­
Show more

See the conditions given on a Venn diagram.

Attachment:
Screenshot 2025-05-12 at 9.49.31 AM.png
Screenshot 2025-05-12 at 9.49.31 AM.png [ 119.42 KiB | Viewed 1689 times ]


If the statements above are true, each of the following could be true EXCEPT:

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

This says that the green region has no people. It is possible because nothing in our statements implies that there must be people there. It is also possible that there are. Hence this statement could be true.


(B) Some entrepreneurs who work at least 18 hours a day are successful.

We are given that most successful entrepreneurs work at least 18 hours a day. Hence this is true.

(C) Some happy entrepreneurs are successful.

It is certainly possible that some happy entrepreneurs have an overlap with the successful entrepreneur circle above.

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

This cannot be true. Some entrepreneurs who work at least 18 hours are successful but they cannot be happy. There is NO overlap possible between the happy circle and the >= 18 hrs part because there cannot be overlap between leisure circle and >= 18 hrs part. And all happy lie within the leisure circle.

(E) Some successful entrepreneurs work less than 18 hours a day­
This is certainly possible and we can see from the Venn.

Answer (D)

Check a discussion on another such question here: https://youtu.be/0uqq17WCJiE
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Most successful entrepreneurs work at least 18 hours a day 12 May 2025, 09:47
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A syllogism venn diagram is the easiest way to do this.
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