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
In a square of opposition, if 'No animals with horns are carnivores' is false, which of the following is the correct code?
codes:
A. 'Some animals with horns are carnivores' is true.
B. 'Some animals with horns are not carnivores' is true.
C. 'All animals with horns are carnivores' is false
D. 'All the animals with horns are carnivores' is undermined.
If the statement-"Some athletes are kind human beings" is given as true, then which of the following statements can be immediately inferred to be false?
Which of the following statements are logically equivalent?
A. Some cricketers are kind men.
B. Some kind men are cricketers.
C. Some cricketers are not non-kind men.
D. Some non-kind men are not non-cricketers.
Choose the correct answer from the options given below:
As per square of opposition, if the statement- "All apes are mammals" is given as true, which of the following statements can be immediately inferred to be false?
A. No apes are mammals.
B. Some apes are mammals.
C. Some mammals are apes.
D. Some apes are not mammals.
Choose the correct answer from the options given below:
Which of the following statements are logically equivalent?
A. Some apes are not non-monkeys.
B. Some monkeys are not non-apes.
C. Some monkeys are apes.
D. Some apes are monkeys.
Choose the correct answer from the options given below:
If the statement, 'Some animals are not ferocious' is given as true, then which of the following could be immediately inferred from it:
A. 'All animals are ferocious' is undetermined
B. 'Some animals are ferocious' is false
C. 'No animals are ferocious' is undetermined
D. 'All animals are ferocious' is false
Choose the correct answer from the options given below:
In Classical Square of Opposition, if 'Some S is not P' is true then which of the following could be immediately inferred from it?
A. 'Some S is P' is false
B. 'All S is P' is false
C. 'No S is P' is undetermined
D. 'Some S is P' is undetermined
E. 'All S is P' is undetermined
Choose the correct answer from the options given below:
If the statement "All women are honest" is given as true, what could be immediately inferred from the following?
(A) 'No women are honest' is false
(B) 'Some women are not honest' is true
(C) 'Some women are not honest' is false
(D) 'Some women are honest' is true
Choose the correct answer from the options given below: