Syllogism
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: Consider the given statement(s) to be true and decide which of the given Conclusions assumptions can definitely be drawn from the given statement.
- Statements:
1. All fish are tortoise.
2. No tortoise is a crocodile.
Conclusions:
I. No crocodile is a fish.
II. No fish is a crocodile
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First Premise is Universal Affirmative (A-type).
Second Premise is Universal Negative (E-type).
All fish are tortoise. ↔ No tortoise is a crocodile.Correct Option: C
First Premise is Universal Affirmative (A-type).
Second Premise is Universal Negative (E-type).
All fish are tortoise. ↔ No tortoise is a crocodile.
A + E ⇒ E - type of Conclusion “No fish is a crocodile”.
This is Conclusion II.
Conclusion I is Converse of it.
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: 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 each of the following questions, one or two statements is given followed by four/ two conclusions, I, II, III and IV. You have to consider the statements to be true, even if it seems to be at variance from commonly known facts. You are to decide which of the given conclusions can definitely be drawn from the given statements. Indicate your answer.
- Statements:
Some boys are men.
No man is black.
Conclusions:
I. Some boys are not black.
II. Some men are boys.
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First Premise is Particular Affirmative (I–type).
Second Premise is Universal Negative (E–type).
Some boys are men. ↔ No men is black.Correct Option: E
First Premise is Particular Affirmative (I–type).
Second Premise is Universal Negative (E–type).
Some boys are men. ↔ No men is black.
I + E ⇒ O – type of Conclusion “Some boys are not black.”
This is Conclusion I.
Conclusion II is the Converse of the first Premise.
Thus, both the Conclusions follow.