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18 Jan 2025, 19:08
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Difficulty:
65%
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Question Stats:
59% (01:54) correct
41%
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wrong
based on 357
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Everyone who is excessively generous is not levelheaded, and no one who is levelheaded is bold.
Which one of the following is strictly implied by the above?
A. Everyone who is excessively generous is not bold.
B. Everyone who is not bold is excessively generous.
C. No one who is not bold lacks excessive generosity.
D. If someone is level headed, then that person is neither bold nor excessively generous.
E. If someone is not levelheaded, then that person is either bold or excessively generous.
Which one of the following is strictly implied by the above?
A. Everyone who is excessively generous is not bold.
B. Everyone who is not bold is excessively generous.
C. No one who is not bold lacks excessive generosity.
D. If someone is level headed, then that person is neither bold nor excessively generous.
E. If someone is not levelheaded, then that person is either bold or excessively generous.
28 Jan 2025, 07:13
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To solve this, let's analyze the statements step by step and evaluate the answer choices.
Premises:
Everyone who is excessively generous is not levelheaded.
If someone is excessively generous, they cannot be levelheaded.
Formally: Excessively generous → not levelheaded.
No one who is levelheaded is bold.
If someone is levelheaded, they cannot be bold.
Formally: Levelheaded → not bold.
Goal:
We are asked to determine what is strictly implied by these two statements. Let's analyze each option carefully.
Option A: Everyone who is excessively generous is not bold.
From premise 1, we know that someone who is excessively generous is not levelheaded (Excessively generous → not levelheaded).
From premise 2, we know that anyone who is not levelheaded cannot be bold (Not levelheaded → not bold).
By combining these two premises:
Excessively generous → not levelheaded → not bold.
Therefore, this statement is strictly implied by the premises.
Option B: Everyone who is not bold is excessively generous.
The premises do not state that being not bold (i.e., lacking boldness) implies being excessively generous. There are no logical connections between "not bold" and "excessively generous" directly.
This statement is not implied by the premises.
Option C: No one who is not bold lacks excessive generosity.
This can be rewritten as: If someone is not bold, they must be excessively generous.
Similar to option B, there is no premise or inference that directly links "not bold" to "excessively generous."
This statement is not implied by the premises.
Option D: If someone is levelheaded, then that person is neither bold nor excessively generous.
From premise 1: Someone who is excessively generous is not levelheaded (Excessively generous → not levelheaded). This is equivalent to saying that if someone is levelheaded, they cannot be excessively generous (Levelheaded → not excessively generous).
From premise 2: If someone is levelheaded, they are not bold (Levelheaded → not bold).
Combining these two:
Levelheaded → not bold AND not excessively generous.
This statement is strictly implied by the premises.
Option E: If someone is not levelheaded, then that person is either bold or excessively generous.
Premise 1 says: Excessively generous → not levelheaded, but it does not state what happens if someone is not levelheaded.
Premise 2 says: Levelheaded → not bold, but it does not imply that someone who is not levelheaded must be bold or excessively generous.
This statement is not implied by the premises.
Final Answer:
Both A and D are strictly implied by the premises. However, if the question requires choosing only one, the best choice is A, as it is the most direct implication.
Premises:
Everyone who is excessively generous is not levelheaded.
If someone is excessively generous, they cannot be levelheaded.
Formally: Excessively generous → not levelheaded.
No one who is levelheaded is bold.
If someone is levelheaded, they cannot be bold.
Formally: Levelheaded → not bold.
Goal:
We are asked to determine what is strictly implied by these two statements. Let's analyze each option carefully.
Option A: Everyone who is excessively generous is not bold.
From premise 1, we know that someone who is excessively generous is not levelheaded (Excessively generous → not levelheaded).
From premise 2, we know that anyone who is not levelheaded cannot be bold (Not levelheaded → not bold).
By combining these two premises:
Excessively generous → not levelheaded → not bold.
Therefore, this statement is strictly implied by the premises.
Option B: Everyone who is not bold is excessively generous.
The premises do not state that being not bold (i.e., lacking boldness) implies being excessively generous. There are no logical connections between "not bold" and "excessively generous" directly.
This statement is not implied by the premises.
Option C: No one who is not bold lacks excessive generosity.
This can be rewritten as: If someone is not bold, they must be excessively generous.
Similar to option B, there is no premise or inference that directly links "not bold" to "excessively generous."
This statement is not implied by the premises.
Option D: If someone is levelheaded, then that person is neither bold nor excessively generous.
From premise 1: Someone who is excessively generous is not levelheaded (Excessively generous → not levelheaded). This is equivalent to saying that if someone is levelheaded, they cannot be excessively generous (Levelheaded → not excessively generous).
From premise 2: If someone is levelheaded, they are not bold (Levelheaded → not bold).
Combining these two:
Levelheaded → not bold AND not excessively generous.
This statement is strictly implied by the premises.
Option E: If someone is not levelheaded, then that person is either bold or excessively generous.
Premise 1 says: Excessively generous → not levelheaded, but it does not state what happens if someone is not levelheaded.
Premise 2 says: Levelheaded → not bold, but it does not imply that someone who is not levelheaded must be bold or excessively generous.
This statement is not implied by the premises.
Final Answer:
Both A and D are strictly implied by the premises. However, if the question requires choosing only one, the best choice is A, as it is the most direct implication.
21 Apr 2025, 08:17
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Breaking down the question gets us that:
Everyone who is excessively generous is not levelheaded.
That means: If someone is very generous — too generous — then they are not levelheaded.
No one who is levelheaded is bold.
That means: If someone is levelheaded — calm and reasonable — then they are not bold.
The only answer that states that is D.
Everyone who is excessively generous is not levelheaded.
That means: If someone is very generous — too generous — then they are not levelheaded.
No one who is levelheaded is bold.
That means: If someone is levelheaded — calm and reasonable — then they are not bold.
The only answer that states that is D.
