Q. Statement: All birds can fly. Argument: Therefore, penguins can fly.
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A.
Argument is strong.
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B.
Argument is weak.
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C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is weak because it incorrectly includes penguins, which cannot fly.
Correct Answer:
B
— Argument is weak.
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Q. Statement: All cats are mammals. Argument: Therefore, all mammals are cats.
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A.
Argument is strong.
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B.
Argument is weak.
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C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is weak because it incorrectly assumes that all mammals are cats, which is not true.
Correct Answer:
B
— Argument is weak.
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Q. Statement: All cats are mammals. Argument: Therefore, some mammals are cats.
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A.
The argument is valid.
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B.
The argument is invalid.
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C.
The argument is irrelevant.
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D.
The argument is a tautology.
Solution
The argument is valid because if all cats are mammals, it logically follows that some mammals are indeed cats.
Correct Answer:
A
— The argument is valid.
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Q. Statement: All dogs are animals. Argument: Therefore, all animals are dogs.
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A.
The argument is valid.
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B.
The argument is invalid.
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C.
The argument is a syllogism.
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D.
The argument is a paradox.
Solution
The argument is invalid because the statement does not imply that all animals are dogs, only that all dogs are included in the category of animals.
Correct Answer:
B
— The argument is invalid.
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Q. Statement: All fruits have seeds. Argument: Therefore, strawberries are fruits because they have seeds.
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A.
Argument is strong.
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B.
Argument is weak.
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C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is strong because it correctly identifies strawberries as fruits based on the given statement.
Correct Answer:
A
— Argument is strong.
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Q. Statement: All humans are mortal. Argument: Therefore, Socrates is mortal because he is a human.
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A.
Argument is strong.
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B.
Argument is weak.
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C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is strong because it correctly applies the general statement about humans to a specific case (Socrates).
Correct Answer:
A
— Argument is strong.
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Q. Statement: All humans are mortal. Argument: Therefore, Socrates is mortal.
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A.
The argument is valid.
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B.
The argument is invalid.
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C.
The argument is a syllogism.
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D.
The argument is a tautology.
Solution
The argument is valid because Socrates, being a human, must be mortal as per the statement.
Correct Answer:
A
— The argument is valid.
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Q. Statement: All mammals have lungs. Argument: Therefore, all animals with lungs are mammals.
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A.
Argument is strong.
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B.
Argument is weak.
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C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is weak because having lungs does not exclusively mean that an animal is a mammal.
Correct Answer:
B
— Argument is weak.
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Q. Statement: All mammals have lungs. Argument: Therefore, whales have lungs.
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A.
Argument is strong.
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B.
Argument is weak.
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C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is strong because it correctly states that whales, being mammals, must have lungs.
Correct Answer:
A
— Argument is strong.
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Q. Statement: All squares are rectangles. Argument: Therefore, all rectangles are squares.
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A.
The argument is valid.
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B.
The argument is invalid.
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C.
The argument is a generalization.
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D.
The argument is a misinterpretation.
Solution
The argument is invalid because while all squares are rectangles, not all rectangles are squares.
Correct Answer:
B
— The argument is invalid.
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Q. Statement: All squares are rectangles. Argument: Therefore, some rectangles are squares.
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A.
Argument is strong.
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B.
Argument is weak.
-
C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is strong because it correctly states that squares are a specific type of rectangle.
Correct Answer:
A
— Argument is strong.
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Q. Statement: No birds are mammals. Argument: Therefore, all mammals are birds.
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A.
Argument is strong.
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B.
Argument is weak.
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C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is weak because the statement does not support the conclusion that all mammals are birds.
Correct Answer:
B
— Argument is weak.
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Q. Statement: No birds are mammals. Argument: Therefore, all mammals are not birds.
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A.
The argument is valid.
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B.
The argument is invalid.
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C.
The argument is a contradiction.
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D.
The argument is a fallacy.
Solution
The argument is invalid because the statement only indicates that no birds are mammals, not that all mammals cannot be birds.
Correct Answer:
B
— The argument is invalid.
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Q. Statement: No dogs are cats. Argument: Therefore, no cats are dogs.
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A.
Argument is strong.
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B.
Argument is weak.
-
C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is strong because it correctly reflects the statement that no dogs are cats.
Correct Answer:
A
— Argument is strong.
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Q. Statement: No fish are mammals. Argument: Therefore, some mammals are not fish.
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A.
Argument is strong.
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B.
Argument is weak.
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C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is strong because it logically follows that if no fish are mammals, some mammals cannot be fish.
Correct Answer:
A
— Argument is strong.
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Q. Statement: No mammals lay eggs. Argument: Therefore, all egg-laying animals are not mammals.
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A.
Argument is strong.
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B.
Argument is weak.
-
C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is strong because it logically follows from the statement that no mammals lay eggs.
Correct Answer:
A
— Argument is strong.
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Q. Statement: No reptiles are mammals. Argument: Therefore, some mammals are not reptiles.
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A.
The argument is valid.
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B.
The argument is invalid.
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C.
The argument is a contradiction.
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D.
The argument is a fallacy.
Solution
The argument is valid because if no reptiles are mammals, it follows that some mammals cannot be reptiles.
Correct Answer:
A
— The argument is valid.
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Q. Statement: No reptiles are mammals. Argument: Therefore, some mammals are reptiles.
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A.
Argument is strong.
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B.
Argument is weak.
-
C.
Argument is irrelevant.
-
D.
Argument is valid.
Solution
The argument is weak because the statement clearly states that no reptiles are mammals, making the conclusion false.
Correct Answer:
B
— Argument is weak.
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Q. Statement: Some birds can swim. Argument: Therefore, all birds can swim.
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A.
Argument is strong.
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B.
Argument is weak.
-
C.
Argument is irrelevant.
-
D.
Argument is valid.
Solution
The argument is weak because it generalizes that all birds can swim based on the fact that some can.
Correct Answer:
B
— Argument is weak.
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Q. Statement: Some cars are electric. Argument: Therefore, all cars are electric.
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A.
Argument is strong.
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B.
Argument is weak.
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C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is weak because it incorrectly generalizes that all cars are electric based on the fact that some are.
Correct Answer:
B
— Argument is weak.
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Q. Statement: Some cars are electric. Argument: Therefore, some electric vehicles are cars.
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A.
The argument is valid.
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B.
The argument is invalid.
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C.
The argument is a non sequitur.
-
D.
The argument is a false premise.
Solution
The argument is valid because if some cars are electric, it logically follows that some electric vehicles must be cars.
Correct Answer:
A
— The argument is valid.
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Q. Statement: Some dogs are not friendly. Argument: Therefore, all dogs are unfriendly.
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A.
Argument is strong.
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B.
Argument is weak.
-
C.
Argument is irrelevant.
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D.
Argument is valid.
Solution
The argument is weak because it generalizes that all dogs are unfriendly based on the fact that some are not.
Correct Answer:
B
— Argument is weak.
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Q. Statement: Some fruits are apples. Argument: Therefore, all apples are fruits.
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A.
Argument is strong.
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B.
Argument is weak.
-
C.
Argument is irrelevant.
-
D.
Argument is valid.
Solution
The argument is strong because it correctly states that apples are a subset of fruits.
Correct Answer:
A
— Argument is strong.
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Q. Statement: Some fruits are apples. Argument: Therefore, some apples are fruits.
-
A.
The argument is valid.
-
B.
The argument is invalid.
-
C.
The argument is ambiguous.
-
D.
The argument is a generalization.
Solution
The argument is valid because if some fruits are apples, it follows that some apples must be fruits.
Correct Answer:
A
— The argument is valid.
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Q. Statement: Some fruits are tropical. Argument: Therefore, some tropical items are fruits.
-
A.
Argument is strong.
-
B.
Argument is weak.
-
C.
Argument is irrelevant.
-
D.
Argument is valid.
Solution
The argument is strong because it logically follows that if some fruits are tropical, then some tropical items must be fruits.
Correct Answer:
A
— Argument is strong.
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Q. Statement: Some plants are not trees. Argument: Therefore, all trees are plants.
-
A.
Argument is strong.
-
B.
Argument is weak.
-
C.
Argument is irrelevant.
-
D.
Argument is valid.
Solution
The argument is weak because it incorrectly assumes that all trees must be plants without exception.
Correct Answer:
B
— Argument is weak.
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Q. Statement: Some teachers are not professors. Argument: Therefore, all professors are teachers.
-
A.
Argument is strong.
-
B.
Argument is weak.
-
C.
Argument is irrelevant.
-
D.
Argument is valid.
Solution
The argument is weak because it incorrectly assumes that all professors must be teachers.
Correct Answer:
B
— Argument is weak.
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Q. Statement: Some teachers are not professors. Argument: Therefore, some professors are not teachers.
-
A.
The argument is valid.
-
B.
The argument is invalid.
-
C.
The argument is a fallacy.
-
D.
The argument is a conclusion.
Solution
The argument is invalid because just because some teachers are not professors does not imply that some professors are not teachers.
Correct Answer:
B
— The argument is invalid.
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Q. Statement: Some teachers are not strict. Argument: Therefore, some strict individuals are not teachers.
-
A.
The argument is valid.
-
B.
The argument is invalid.
-
C.
The argument is a non sequitur.
-
D.
The argument is a false conclusion.
Solution
The argument is invalid because the statement does not provide information about strict individuals outside of teachers.
Correct Answer:
B
— The argument is invalid.
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Q. Statement: Some teachers are women. Argument: Therefore, some women are teachers.
-
A.
Argument is strong.
-
B.
Argument is weak.
-
C.
Argument is irrelevant.
-
D.
Argument is valid.
Solution
The argument is strong because it logically follows that if some teachers are women, then some women must be teachers.
Correct Answer:
A
— Argument is strong.
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