Syllogism


  1. Statements:
    I. Some keys are locks, some locks are numbers.
    II. All numbers are letters, all letters are words.
    Conclusions:
    I. Some words are numbers.
    II. Some locks are letters.









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    Statement I consists of two Particular Affirmative (I-type) Premises.
    Statement II consists of two Universal Affirmative (A-type) Premises.
    Some locks are numbers. ↔ All numbers are letters.

    Correct Option: C

    Statement I consists of two Particular Affirmative (I-type) Premises.
    Statement II consists of two Universal Affirmative (A-type) Premises.
    Some locks are numbers. ↔ All numbers are letters.
    I + A ⇒ I-type of Conclusion “Some locks are letters”.
    This is Conclusion II.
    All numbers are letters. ↔ All letters are words.
    A + A ⇒ A-type of Conclusion “All numbers are words”.
    Conclusion I is Converse of it.


  1. Select the alternative inference which is most appropriate.
    “All professors are learned; learned people are always gentle.”
    Inference: All professors are gentle persons.









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    All professors are learned and learned people are always gentle.

    Correct Option: A

    All professors are learned and learned people are always gentle. So, all professors are gentle persons. It means the Inference is true.


  1. For the Venn diagram given below, which of the following conclusion(s) is/are true?
    I. Some Captains are painters.
    II. Some Lieutenants are painters.
    III. All Majors are soldiers.
    IV. All Captains are soldiers.
    V. All soldiers are painters.











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    All Majors are captains.
    All Majors are Lieutenants.
    All Majors are Soldiers.
    (This is Conclusion III )
    All captains are Soldiers.

    Correct Option: D

    All Majors are captains.
    All Majors are Lieutenants.
    All Majors are Soldiers.
    (This is Conclusion III )
    All captains are Soldiers.
    (This is Conclusion IV ).
    All Lieutenants are Soldiers.
    All Painters are Soldiers.
    No Painter is Captain.


Direction: Two statement are given followed by two conclusions I and II. 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 one of the given conclusions are definitely drawn from the given statements:

  1. Statements :
    Some peons are poor.
    X is poor.
    Conclusions :
    I. X is a peon.
    II. X has a large family.









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    The first premise is particular Affirmative (I- Type). The second premise is Universal Affirmative (A-Type).
    We can align the premises by converting the first premise and changing their order.

    Correct Option: D

    The first premise is particular Affirmative (I- Type). The second premise is Universal Affirmative (A-Type).
    We can align the premises by converting the first premise and changing their order. Thus,
    X is poor → Some poors are peons have a doctorate degree.
    We know that,
    A + I = No conclusion.


Direction: A statement(s) is/ are given followed by two conclusions I and II. You have to consider the statement(s) 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 statement (s). Indicate your answer.

  1. Statements:
    (A) All basketball players are tall men.
    (B). All basketball players are athletes.
    Conclusions:
    I. All tall men are basketball players.
    II. All athletes are basketball players.









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    Both the Premises are Universal Affirmative (A-type). We can align the Premises by taking converse of any of the premises.
    Some tall men are basketball players ↔ All basketball players are athletes.

    Correct Option: C

    Both the Premises are Universal Affirmative (A-type). We can align the Premises by taking converse of any of the premises.
    Some tall men are basketball players ↔ All basketball players are athletes.
    I + A ⇒I - type of conclusion ”Some tall men are athletes".