Q. Some cars are electric. All Teslas are cars. Therefore, some Teslas are electric. Is this conclusion valid?
-
A.
Yes
-
B.
No
-
C.
Only if all cars are electric
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D.
Only if some cars are Teslas
Solution
The conclusion is not valid because while some cars are electric, it does not guarantee that any Teslas are electric.
Correct Answer:
B
— No
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Q. Some dogs are friendly. All friendly animals are loved. Therefore, some dogs are loved. Is this conclusion valid?
-
A.
Yes
-
B.
No
-
C.
Only if all dogs are friendly
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D.
Only if some dogs are not loved
Solution
The conclusion is valid because if some dogs are friendly and all friendly animals are loved, then those dogs must be loved.
Correct Answer:
A
— Yes
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Q. Some fruits are sweet. All apples are fruits. Therefore, some apples are sweet. Is this conclusion valid?
-
A.
Yes
-
B.
No
-
C.
Only if all fruits are sweet
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D.
Cannot be determined
Solution
The conclusion cannot be determined because while some fruits are sweet, it does not imply that apples are among them.
Correct Answer:
D
— Cannot be determined
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Q. Some fruits are sweet. All sweet things are tasty. Which conclusion is correct?
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A.
All fruits are tasty.
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B.
Some tasty things are fruits.
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C.
Some sweet things are not fruits.
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D.
All tasty things are fruits.
Solution
Since some fruits are sweet and all sweet things are tasty, it follows that some tasty things are fruits.
Correct Answer:
B
— Some tasty things are fruits.
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Q. Some fruits are sweet. All sweet things are tasty. Which of the following conclusions can be drawn?
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A.
All fruits are tasty.
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B.
Some tasty things are fruits.
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C.
Some sweet things are not fruits.
-
D.
All tasty things are sweet.
Solution
Since some fruits are sweet and all sweet things are tasty, it follows that some tasty things are fruits.
Correct Answer:
B
— Some tasty things are fruits.
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Q. Some teachers are not professors. All professors are educated. Which conclusion is correct?
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A.
All teachers are educated.
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B.
Some educated people are not teachers.
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C.
Some professors are not teachers.
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D.
All educated people are teachers.
Solution
Since some teachers are not professors and all professors are educated, it can be concluded that all teachers are educated.
Correct Answer:
A
— All teachers are educated.
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Q. Some teachers are not professors. All professors are educated. Which of the following conclusions can be drawn?
-
A.
All teachers are educated.
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B.
Some educated people are not teachers.
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C.
Some professors are not teachers.
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D.
All educated people are professors.
Solution
Since all professors are educated, it can be concluded that all teachers are educated.
Correct Answer:
A
— All teachers are educated.
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Q. Some teachers are strict. All strict people are disciplined. Which of the following conclusions can be drawn?
-
A.
All teachers are disciplined.
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B.
Some disciplined people are teachers.
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C.
Some strict people are not teachers.
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D.
All disciplined people are teachers.
Solution
Since some teachers are strict and all strict people are disciplined, it follows that some disciplined people are teachers.
Correct Answer:
B
— Some disciplined people are teachers.
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Q. Statement: A balanced diet is crucial for health. Assumption: Health is the most important aspect of life.
-
A.
True
-
B.
False
-
C.
Cannot be determined
-
D.
None of the above
Solution
The assumption is subjective and does not necessarily follow from the statement.
Correct Answer:
B
— False
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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 birds can fly. Assumption: Penguins are birds.
-
A.
True
-
B.
False
-
C.
Cannot be determined
-
D.
None of the above
Solution
The assumption is false because penguins are birds that cannot fly, contradicting the statement.
Correct Answer:
B
— False
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Q. Statement: All birds can fly. Assumption: Some flying creatures are not birds.
-
A.
True
-
B.
False
-
C.
Cannot be determined
-
D.
None of the above
Solution
The assumption contradicts the statement, as it implies that not all flying creatures are birds.
Correct Answer:
B
— False
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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.
-
C.
Argument is irrelevant.
-
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.
-
A.
The argument is valid.
-
B.
The argument is invalid.
-
C.
The argument is irrelevant.
-
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 cats are mammals. Assumption: Some mammals are cats.
-
A.
True
-
B.
False
-
C.
Cannot be determined
-
D.
None of the above
Solution
If all cats are mammals, it logically follows that some mammals must be cats.
Correct Answer:
A
— True
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Q. Statement: All dogs are animals. Argument: Therefore, all animals are dogs.
-
A.
The argument is valid.
-
B.
The argument is invalid.
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C.
The argument is a syllogism.
-
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 dogs bark. Assumption: Some animals that bark are dogs.
-
A.
True
-
B.
False
-
C.
Cannot be determined
-
D.
None of the above
Solution
If all dogs bark, then it is true that some animals that bark are indeed dogs.
Correct Answer:
A
— True
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Q. Statement: All dogs bark. Assumption: Some animals that bark are not dogs.
-
A.
True
-
B.
False
-
C.
Cannot be determined
-
D.
None of the above
Solution
The assumption is valid as it does not contradict the statement about dogs.
Correct Answer:
A
— True
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Q. Statement: All fruits are healthy. Assumption: Some unhealthy foods are not fruits.
-
A.
True
-
B.
False
-
C.
Cannot be determined
-
D.
None of the above
Solution
The assumption is true and does not contradict the statement about fruits being healthy.
Correct Answer:
A
— True
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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.
-
C.
Argument is irrelevant.
-
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.
-
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 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.
-
A.
The argument is valid.
-
B.
The argument is invalid.
-
C.
The argument is a syllogism.
-
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.
-
A.
Argument is strong.
-
B.
Argument is weak.
-
C.
Argument is irrelevant.
-
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.
-
A.
Argument is strong.
-
B.
Argument is weak.
-
C.
Argument is irrelevant.
-
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.
-
A.
The argument is valid.
-
B.
The argument is invalid.
-
C.
The argument is a generalization.
-
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.
-
A.
Argument is strong.
-
B.
Argument is weak.
-
C.
Argument is irrelevant.
-
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: All students must submit their assignments on time. Assumption: Some students will submit late.
-
A.
Assumption is valid.
-
B.
Assumption is invalid.
-
C.
Assumption is partially valid.
-
D.
Assumption cannot be determined.
Solution
The assumption is invalid because the statement implies that all students will submit on time, contradicting the assumption.
Correct Answer:
B
— Assumption is invalid.
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Q. Statement: Eating fruits daily improves health. Assumption: Fruits are healthy.
-
A.
True
-
B.
False
-
C.
Cannot be determined
-
D.
None of the above
Solution
If eating fruits improves health, it implies that fruits must be healthy.
Correct Answer:
A
— True
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Q. Statement: Eating fruits is good for health. Assumption: All healthy diets include fruits.
-
A.
True
-
B.
False
-
C.
Cannot be determined
-
D.
None of the above
Solution
While eating fruits is good for health, it does not imply that all healthy diets must include fruits.
Correct Answer:
B
— False
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Q. Statement: Eating fruits is good for health. Assumption: People who eat fruits are healthier than those who do not.
-
A.
Assumption is definitely true.
-
B.
Assumption is probably true.
-
C.
Assumption is definitely false.
-
D.
Assumption is irrelevant.
Solution
The assumption is probably true as it suggests a correlation, but it is not a certainty.
Correct Answer:
B
— Assumption is probably true.
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