Syllogism


Direction: One/two 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/they seem(s) to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow(s) from the given statement(s).

  1. Statements:
    (a) Some shoes are White.
    (b) All White are Blue.
    Conclusions:
    I. All shoes are Blue.
    II. Some shoes are Blue.









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    First Premise is Particular Affirmative (I-type)
    Second Premise is Universal Affirmative (A-type).

    Correct Option: B

    First Premise is Particular Affirmative (I-type)
    Second Premise is Universal Affirmative (A-type).
    Some shoes are white. ↔ All white are blue.
    I + A ⇒ I-type of Conclusion “Some shoes are blue.”
    This is Conclusion II.


Direction: Two statements are given followed by four alternative inferences. Select the one which is most appropriate.

  1. Statements:
    Some files are numbered.
    All numbers are coded.
    Inferences:









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    Both the Premises are Universal Affirmative (A-type).
    All files are numbered. ↔ All numbers are coded.

    Correct Option: A

    Both the Premises are Universal Affirmative (A-type).
    All files are numbered. ↔ All numbers are coded.
    A + A ⇒ A-type of Conclusion “All files are coded.”
    This is Conclusion I.



Direction: Two statements are given followed by four conclusions I, II, III and IV. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions, if any, follow from the given statements. Indicate your answer.

  1. Statements:
    (a) All goats are tigers.
    (b) All tigers are lions.
    Conclusions:
    I. All tigers are goats.
    II. All lions are tigers.
    III. No goat is a lion.
    IV. No lion is a goat.









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    Both the Premises are Universal Affirmative (A-type).
    All goats are tigers. ↔ All tigers are lions.

    Correct Option: D

    Both the Premises are Universal Affirmative (A-type).
    All goats are tigers. ↔ All tigers are lions.
    A + A ⇒ A-type of Conclusion
    “All goats are lions.”


Direction: Two statements are given followed by four conclusions I, II, III and IV. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions, if any, follow from the given statements. Indicate your answer.

  1. Statements:
    (a) All clerks are typists.
    (b) Some typists are stenos.
    Conclusions:
    I. Some stenos are clerks.
    II. No steno is a clerk.
    III. All typists are clerks.
    IV. All clerks are stenos.









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    First Premise is Universal Affirmative (A-type).
    Second Premise is Particular Affirmative (I-type).
    All clerks are typists. ↔ Some typists are stenos.

    Correct Option: C

    First Premise is Universal Affirmative (A-type).
    Second Premise is Particular Affirmative (I-type).
    All clerks are typists. ↔ Some typists are stenos.
    A + I ⇒No Conclusion
    Conclusions I and II form Complementary Pair. Therefore, either I or II follows.



Direction: Two statements are given followed by two inferences 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 are to decide which of the given inferences, if any, follow from the given statements. Indicate your answer.

  1. Statements:
    (a) All players are educated.
    (b) All educated are cultured.
    Inferences:
    I. All players are cultured.
    II. All cultured persons are players.









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    Both the Premises are Universal Affirmative (A - type).
    All players are educated. ↔ All educated are cultured.

    Correct Option: A

    Both the Premises are Universal Affirmative (A - type).
    All players are educated. ↔ All educated are cultured.
    A + A ⇒ A–type of Conclusion “All players are cultured.”
    This is Conclusion I.