Q. A is taller than B. B is taller than C. Which of the following is true?
A.
A is taller than C
B.
C is taller than A
C.
B is the tallest
D.
C is shorter than A
Show solution
Solution
If A is taller than B and B is taller than C, then A must be taller than C.
Correct Answer:
A
— A is taller than C
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Q. All cars are vehicles. Some vehicles are electric. Therefore, some cars are electric. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all vehicles are cars
D.
Only if some cars are electric
Show solution
Solution
The conclusion is not valid because while all cars are vehicles, it does not mean that any specific cars are electric.
Correct Answer:
B
— No
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Q. All cars require fuel. Some vehicles are cars. Therefore, some vehicles require fuel. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all vehicles are cars
D.
Only if some vehicles are electric
Show solution
Solution
The conclusion is valid because if some vehicles are cars and all cars require fuel, then those vehicles must require fuel.
Correct Answer:
A
— Yes
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Q. All computers are machines. Some machines are not computers. Therefore, some machines are not computers. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all machines are computers
D.
Only if some computers are machines
Show solution
Solution
The conclusion is valid. The premises support the existence of machines that are not computers.
Correct Answer:
A
— Yes
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Q. All dogs bark. Some animals that bark are not dogs. Therefore, some animals that bark are not dogs. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all barking animals are dogs
D.
Only if some dogs are animals
Show solution
Solution
The conclusion is valid. The premises support the existence of animals that bark but are not dogs.
Correct Answer:
A
— Yes
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Q. All fruits are sweet. Some sweet things are not fruits. Therefore, some things that are not fruits are sweet. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all sweet things are fruits
D.
Only if some fruits are sweet
Show solution
Solution
The conclusion is valid. The premises allow for the existence of sweet things that are not fruits.
Correct Answer:
A
— Yes
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Q. All roses are flowers. Some flowers fade quickly. Therefore, some roses fade quickly. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all flowers are roses
D.
Only if some roses are flowers
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Solution
The conclusion does not logically follow. Just because all roses are flowers and some flowers fade quickly, it does not imply that some roses fade quickly.
Correct Answer:
B
— No
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Q. All squares are rectangles. Some rectangles are blue. Therefore, some squares are blue. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all blue rectangles are squares
D.
Cannot be determined
Show solution
Solution
The conclusion is not valid because while all squares are rectangles, it does not mean that any squares are blue.
Correct Answer:
B
— No
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Q. All teachers are educated. Some educated people are not teachers. Therefore, some people who are not teachers are educated. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all educated people are teachers
D.
Only if some teachers are educated
Show solution
Solution
The conclusion is valid. The premises allow for the existence of educated people who are not teachers.
Correct Answer:
A
— Yes
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Q. Complete the idiom: 'To let the cat out of the bag' means to _____
A.
keep a secret
B.
reveal a secret
C.
make a mistake
D.
take a risk
Show solution
Solution
'To let the cat out of the bag' means to accidentally reveal a secret.
Correct Answer:
B
— reveal a secret
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Q. Complete the idiom: 'To throw in the towel means to ______.'
A.
give up
B.
fight harder
C.
take a break
D.
celebrate success
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Solution
'To throw in the towel' means to give up or admit defeat.
Correct Answer:
A
— give up
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Q. Identify the error in the following sentence: 'Each of the students have completed their assignments.'
A.
Each
B.
students
C.
have
D.
assignments
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Solution
'Have' should be 'has' because 'each' is singular.
Correct Answer:
C
— have
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Q. If a person is a teacher, then they are educated. Sarah is educated. Can we conclude that Sarah is a teacher?
A.
Yes
B.
No
C.
Only if she teaches math
D.
Cannot be determined
Show solution
Solution
The conclusion is not valid because being educated does not necessarily mean that Sarah is a teacher.
Correct Answer:
B
— No
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Q. If a person is a teacher, then they are educated. Sarah is not educated. Can we conclude that Sarah is not a teacher?
A.
Yes
B.
No
C.
Only if she is not a tutor
D.
Cannot be determined
Show solution
Solution
The conclusion is valid because if being a teacher implies being educated, then not being educated means Sarah cannot be a teacher.
Correct Answer:
A
— Yes
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Q. If a person is a teacher, then they have a degree. John is a teacher. Therefore, John has a degree. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if John teaches math
D.
Only if John is certified
Show solution
Solution
The conclusion is valid because if John is a teacher, then according to the premise, he must have a degree.
Correct Answer:
A
— Yes
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Q. If all cars are vehicles and some vehicles are electric, can we conclude that some cars are electric?
A.
Yes
B.
No
C.
Only if all electric vehicles are cars
D.
Cannot be determined
Show solution
Solution
The conclusion is not valid because while some vehicles are electric, it does not imply that any cars are electric.
Correct Answer:
B
— No
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Q. If all cats are animals and some animals are dogs, which of the following is true?
A.
All cats are dogs.
B.
Some cats are dogs.
C.
No cats are dogs.
D.
Some animals are not cats.
Show solution
Solution
Since all cats are animals and some animals are dogs, it is possible that some animals are not cats.
Correct Answer:
D
— Some animals are not cats.
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Q. If all mammals have lungs and some whales are mammals, can we conclude that some whales have lungs?
A.
Yes
B.
No
C.
Only if all mammals are whales
D.
Only if some whales are not mammals
Show solution
Solution
The conclusion is valid because if all mammals have lungs and some whales are mammals, then those whales must have lungs.
Correct Answer:
A
— Yes
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Q. If all roses are flowers and some flowers are red, can we conclude that some roses are red?
A.
Yes
B.
No
C.
Only if specified
D.
Not enough information
Show solution
Solution
We cannot conclude that some roses are red because the information does not specify the relationship between roses and red flowers.
Correct Answer:
D
— Not enough information
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Q. If all roses are flowers and some flowers are red, which of the following is true?
A.
All roses are red
B.
Some roses are red
C.
No roses are red
D.
Some flowers are not roses
Show solution
Solution
Since not all flowers are roses, it is possible that some flowers are not roses.
Correct Answer:
D
— Some flowers are not roses
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Q. If all roses are flowers and some flowers are red, which of the following must be true?
A.
All roses are red.
B.
Some roses are red.
C.
No roses are red.
D.
Some flowers are not roses.
Show solution
Solution
Since not all flowers are roses, it is possible that some flowers are not roses.
Correct Answer:
D
— Some flowers are not roses.
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Q. If all students study hard, then they will pass the exam. John is a student. Therefore, John will pass the exam. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if John studies hard
D.
Cannot be determined
Show solution
Solution
The conclusion is not valid because it depends on whether John studies hard, which is not stated.
Correct Answer:
C
— Only if John studies hard
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Q. If all students study hard, then they will pass. John is a student who did not pass. Can we conclude that John did not study hard?
A.
Yes
B.
No
C.
Only if he is not a diligent student
D.
Cannot be determined
Show solution
Solution
The conclusion is valid because if all students who study hard pass, then not passing implies John did not study hard.
Correct Answer:
A
— Yes
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Q. If all students study hard, then they will pass. John is a student. Therefore, John will pass. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if John studies hard
D.
Cannot be determined
Show solution
Solution
The conclusion is not valid because it depends on whether John studies hard, which is not stated.
Correct Answer:
C
— Only if John studies hard
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Q. If it rains, the ground gets wet. It is raining. Therefore, the ground is wet. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if the ground is not covered
D.
Only if it rains heavily
Show solution
Solution
The conclusion is valid because if it is raining, then according to the premise, the ground must be wet.
Correct Answer:
A
— Yes
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Q. If it rains, the ground gets wet. The ground is not wet. Can we conclude that it did not rain?
A.
Yes
B.
No
C.
Only if it is not a water source
D.
Cannot be determined
Show solution
Solution
The conclusion is valid because if the ground is not wet, it logically follows that it did not rain.
Correct Answer:
A
— Yes
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Q. If some A are B and some B are C, which of the following is necessarily true?
A.
Some A are C.
B.
Some C are A.
C.
Some B are not A.
D.
Some A are not B.
Show solution
Solution
It is possible that some B are not A, as the relationships do not guarantee overlap.
Correct Answer:
C
— Some B are not A.
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Q. If some A are B and some B are C, which of the following must be true?
A.
Some A are C
B.
Some C are A
C.
Some B are A
D.
None of the above
Show solution
Solution
There is no direct relationship established between A and C based on the given statements.
Correct Answer:
D
— None of the above
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Q. In a class of 50 students, 30 study English, 20 study Hindi, and 10 study both. How many students study only Hindi?
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Solution
Students who study only Hindi = Total Hindi students - Both English and Hindi students = 20 - 10 = 10.
Correct Answer:
A
— 10
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Q. In a class of 60 students, 35 like painting, 25 like music, and 15 like both. How many students like only painting?
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Solution
Students who like only painting = Total painting lovers - Both painting and music lovers = 35 - 15 = 20.
Correct Answer:
A
— 20
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