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 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. 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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Q. In a group of 100 people, 60 like tea, 50 like coffee, and 30 like both. How many people like only tea?
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Solution
People who like only tea = Total tea lovers - Both tea and coffee lovers = 60 - 30 = 30.
Correct Answer: A — 30
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Q. In a group of 120 people, 80 like football, 50 like basketball, and 30 like both. How many like only football?
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Solution
People who like only football = Total football lovers - Both football and basketball lovers = 80 - 30 = 50.
Correct Answer: A — 50
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Q. In a group of 90 people, 50 like reading, 40 like writing, and 20 like both. How many like only writing?
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Solution
People who like only writing = Total writing lovers - Both reading and writing lovers = 40 - 20 = 20.
Correct Answer: A — 20
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Q. In a survey of 200 students, 120 like Mathematics, 80 like Science, and 50 like both. How many students like only Science?
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Solution
Students who like only Science = Total Science lovers - Both Mathematics and Science lovers = 80 - 50 = 30.
Correct Answer: A — 30
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Q. In a survey of 300 people, 150 like chocolate, 100 like vanilla, and 50 like both. How many like only chocolate?
A.
100
B.
150
C.
50
D.
200
Show solution
Solution
People who like only chocolate = Total chocolate lovers - Both chocolate and vanilla lovers = 150 - 50 = 100.
Correct Answer: A — 100
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Q. In a survey, 150 people were asked about their favorite fruit. 90 like apples, 70 like bananas, and 40 like both. How many like only bananas?
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Solution
People who like only bananas = Total banana lovers - Both apple and banana lovers = 70 - 40 = 30.
Correct Answer: A — 30
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Q. In a survey, 200 people were asked about their favorite sport. 120 like cricket, 80 like football, and 40 like both. How many like only cricket?
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Solution
People who like only cricket = Total cricket lovers - Both cricket and football lovers = 120 - 40 = 80.
Correct Answer: A — 80
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Q. No mammals lay eggs. All whales are mammals. Therefore, no whales lay eggs. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all mammals are whales
D.
Only if some mammals lay eggs
Show solution
Solution
The conclusion is valid. Since all whales are mammals and no mammals lay eggs, it follows that no whales lay eggs.
Correct Answer: A — Yes
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Q. Some birds can fly. All sparrows are birds. Therefore, some sparrows can fly. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all birds can fly
D.
Only if some birds are sparrows
Show solution
Solution
The conclusion is valid. Since all sparrows are birds and some birds can fly, it follows that some sparrows can fly.
Correct Answer: A — Yes
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Q. Some cars are red. All red things are fast. Therefore, some cars are fast. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all cars are red
D.
Only if some fast things are cars
Show solution
Solution
The conclusion is valid. If some cars are red and all red things are fast, then it follows that some cars are fast.
Correct Answer: A — Yes
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Q. Some students are diligent. All diligent people succeed. Therefore, some students succeed. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all students are diligent
D.
Only if some diligent people are students
Show solution
Solution
The conclusion is valid. If some students are diligent and all diligent people succeed, then it follows that some students succeed.
Correct Answer: A — Yes
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