Which of the following statements is contrary to the statement- "No football players are kind-hearted human beings"?
All football players are kind-hearted human beings.
This question is based on the classical Square of Opposition, which describes logical relationships between four types of categorical statements: A (universal affirmative: "All S are P"), E (universal negative: "No S are P"), I (particular affirmative: "Some S are P"), and O (particular negative: "Some S are not P").
The given statement, "No football players are kind-hearted human beings", is an E-type (universal negative) statement.
The question asks for the statement that is CONTRARY to this. In the square of opposition, the "contrary" relationship exists specifically between the A-type and E-type statements that share the same subject and predicate: they cannot both be true at the same time, but they CAN both be false at the same time.
The A-type statement with the same subject (football players) and predicate (kind-hearted human beings) is: "All football players are kind-hearted human beings" — this is exactly Option 4, and it is the contrary of the given E-type statement.
Let's rule out the other options to reinforce the concept:
- "Some football players are kind-hearted human beings" (Option 1) is the I-type statement — this is actually the CONTRADICTORY of the given E-type statement (contradictories always have opposite truth values), not the contrary.
- "Some football players are not kind-hearted human beings" (Option 2) is the O-type statement, which is implied by (subalternate to) the E-type statement being true — it is not the contrary.
- "No kind-hearted human beings are football players" (Option 3) is simply the converse of the given E-type statement (E-type statements convert validly), so it means essentially the same thing as the original — it is not a contrary, it's equivalent.
So the correct answer is Option 4: All football players are kind-hearted human beings
Similar Questions
Which of the following is contrary to the statement "No mammals are birds"?
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Which of the following propositions can be directly inferred from the statement - "All mammals are four-legged animals?
Which of the following statements are contradictory to each other?
A. All objects are perishable.
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If the statement 'No men are honest' is given as false, then which of the following could be immediately inferred from it?
A. 'All men are honest' is true
B. 'All men are honest' is undetermined
C. 'Some men are not honest' is true
D. 'Some men are honest' is true
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Given below are two statements
Statement I: Contrary statements are so related that if one of them is true, the other must be false.
Statement II: Contrary statements cannot both be false.
In light of the above statements, choose the correct answer from the options given below :If the proposition ‘domestic animals are hardly ferocious’ is taken to be false, which of the following proposition/propositions can be claimed to be certainly true? Select the correct code:
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Code:
Given below are four statements. Among them two are related in such a way that they can both be true but they cannot both be false. Select the code that indicates those two statements:
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Code:
Among the following propositions two are related in such a way that they cannot both be true but can both be false. Select the code that states those two propositions.
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If proposition 'some milk is curd' is taken to be true, then which of the following propositions can be false?
Important Questions from Classical Square of Opposition
Which of the following statements are so related that they can not both be true but could both be false?
A. All Biologists are outstanding teachers.
B. Some Biologists are outstanding teachers.
C. No Biologists are outstanding teachers.
D. Some Biologists are not outstanding teachers.
Choose the correct answer from the options given below:
- Which of the following propositions are so related that they can neither be true together nor can they be false together?
A. All printers are computer peripherals.
B. Some computer peripherals are printers.
C. Some printers are not computer peripherals.
D. No printers are computer peripherals.
Choose the correct answer from the options given below: - Which of the following statements contradict each other ?
A. All ducks are birds.
B. Some ducks are birds.
C. Some ducks are not birds.
D. No ducks are birds.
Choose the most appropriate answer from the options given below : - If the statement "No birds are animals" is given as false, which of the following statements can be inferred to be true ?
A. Some animals are not birds.
B. Some birds are not animals.
C. Some animals are birds.
D. Some birds are animals.
Choose the most appropriate answer from the options given below : - Which of the following statements are sub-contraries?
A. All sparrows are birds.
B. No sparrows are birds.
C. Some sparrows are birds.
D. Some sparrows are not birds.
Choose the correct answer from the options given below:
