Syllogism
Direction: Two statements are given followed by two Conclusions/Assumptions, I and II. You have to consider the statement to be true, even if it seems at variance from commonly known facts. You are to decide which of the given conclusions/assumptions can definitely be drawn from given statement. Indicate your answer.
- Statements
(a) No teacher comes to the school on a bicycle.
(b) Anand comes to the school on a bicycle.
Conclusions
I. Anand is not a teacher
II. Anand is a student.
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No teacher comes to the school on a bicycle. Therefore, Anand cannot be a teacher.
Correct Option: D
No teacher comes to the school on a bicycle. Therefore, Anand cannot be a teacher. Anand is either student or clerical staff. Therefore, only Conclusion I follows.
Direction: In the question two statements are given each followed by two Conclusions, I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given Conclusions, if any, follows from the given statements.
- Statements:
a. Some clerks are poor.
b. A is poor.
Conclusions:
a. A is clerk.
b. A has a large family.
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Some clerks (not all) are poor and A is poor.
Therefore, it is not certain that A is a clerk.Correct Option: B
Some clerks (not all) are poor and A is poor.
Therefore, it is not certain that A is a clerk. Thus, neither Conclusion I nor Conclusion II follows.
Direction: In each of the following questions, two statements are given followed by two/four conclusions I, II, III and IV. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
- Statements:
(a) All buses are houses.
(b) Some houses are lakes.
Conclusions:
I. Some buses are lakes.
II. Some lakes are buses.
III. Some lakes are houses.
IV. Some houses are buses.
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All buses are houses. ↔ Some houses are lakes.
Correct Option: D
All buses are houses. ↔ Some houses are lakes.
A + I ⇒ No Conclusion
Conclusion III is Converse of the second Premise.
Conclusion IV is Converse of the first Premise.
Direction: Two statements are given, followed by two conclusions. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any follow from the given statements.
- Statements :
No pencil is eraser.
All erasers are sharpeners.
Conclusions:
I. All sharpeners are pencils.
II. All sharpeners are erasers.
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Draw a figure and solve the question.
First Premise is Universal Negative (E–type).
Second Premise is Universal Affirmative (A–type).
No pencil is eraser. ↔ All erasers are sharpeners.Correct Option: D
First Premise is Universal Negative (E–type).
Second Premise is Universal Affirmative (A–type).
No pencil is eraser. ↔ All erasers are sharpeners.
E + A ⇒ O1 – type of Conclusion. “Some sharpeners are not pencils.”
Venn diagrams
Therefore, neither Conclusion I nor Conclusion II follows.
Direction: In the following question, some statements are given, followed by some conclusions. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
- Statements:
All roses are yellow.
Some roses are flowers.
Conclusions:
I. Some roses are yellow.
II. All roses are flowers.
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First Premise is Universal Affirmative (A-type).
Some flowers are roses. ↔ All roses are yellow.Correct Option: A
First Premise is Universal Affirmative (A-type).
Some flowers are roses. ↔ All roses are yellow.
I + A ⇒ I-type of Conclusion “Some flowers are yellow.”
Conclusion I is the Implication of the first Premise.