Syllogism


Direction: Two statements are given 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 are to decide which of the given conclusions, if any, follow from the given statements.

  1. Statements:
    All fruits are sweet.
    All sweet things are not good for health.
    Conclusions:
    (I) All fruits are not good for health.
    (II) Some fruits are not good for health.









  1. View Hint View Answer Discuss in Forum

    First Premise is Universal Affirmative (A&type).
    Second Premise can be written in the form of Universal Negative (E-type) as
    No sweet thing is good for health
    All fruits are sweet. ↔ No sweet thing is good for health.

    Correct Option: D

    First Premise is Universal Affirmative (A&type).
    Second Premise can be written in the form of Universal Negative (E-type) as
    No sweet thing is good for health
    All fruits are sweet. ↔ No sweet thing is good for health.
    A + E ⇒ E–type of Conclusion “No fruit is good for health”.
    Thus both the Conclusions follow.


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.

  1. Statements:
    (a) All pens are papers.
    (b) No eraser is a paper.
    Conclusions:
    I. No eraser is a pen.
    II. Some papers are pens.









  1. View Hint View Answer Discuss in Forum

    (i) All pens are papers → Universal Affirmative (A-type).
    (ii) Some houses are lakes → Particular Affirmative (I-type).
    (iii) No eraser is paper → Universal Negative (E-type).
    (iv) Some erasers are not papers → Particular Negative (O-type).
    All pens are papers. ↔ No paper is an eraser.

    Correct Option: A

    (i) All pens are papers → Universal Affirmative (A-type).
    (ii) Some houses are lakes → Particular Affirmative (I-type).
    (iii) No eraser is paper → Universal Negative (E-type).
    (iv) Some erasers are not papers → Particular Negative (O-type).
    All pens are papers. ↔ No paper is an eraser.
    A + E ⇒ E-type of Conclusion. “No pen is an eraser”.
    Conclusion I is Converse of it.
    Conclusion II is Converse of the first Premise.


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.

  1. Statements:
    (a) No girl is a parrot.
    (b) Sowmya is a girl.
    Conclusions:
    I. Sowmya is not a parrot.
    II. All girls are not Sowmya.









  1. View Hint View Answer Discuss in Forum

    First Premise is Universal Negative (E-type).
    Second Premise is Universal Affirmative (A-type).
    Sowmya is a girl.↔ No girl is a parrot.

    Correct Option: A

    First Premise is Universal Negative (E-type).
    Second Premise is Universal Affirmative (A-type).
    Sowmya is a girl.↔ No girl is a parrot.
    A + E ⇒ E-type of Conclusion. “Sowmya is not a parrot.”
    This is Conclusion I.


Direction: In each of the following questions, two statements are given followed by two conclusions I and II. You have to consider the statements to be true even if they seem 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.

  1. Statements:
    (a) All children are students.
    (b) All students are players.
    Conclusions:
    I. All cricketers are students.
    II. All children are players.









  1. View Hint View Answer Discuss in Forum

    Both the Premises are Universal Affirmative (A–type).
    All children are students. ↔ All students are players.

    Correct Option: B

    Both the Premises are Universal Affirmative (A–type).
    All children are students. ↔ All students are players.
    A + A ⇒ A–type of Conclusion
    All children are players.¸
    This is Conclusion II.


Direction: In each of the following questions, two/four statements are given followed by two/four conclusions I, II, III and IV. You have to consider the statements to be true even it 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.

  1. Statements:
    a. All metals are silver.
    b. All silver are diamond.
    c. Some diamonds are gold.
    d. Some gold are marbles.
    Conclusions:
    I. Some gold are metals.
    II. All metals are diamond.
    III. Some silver are marble.
    IV. Some gold are silver.









  1. View Hint View Answer Discuss in Forum

    All metals are silver. ↔ All silver are diamond.

    Correct Option: B

    All metals are silver. ↔ All silver are diamond.
    A + A ⇒ A – type of Conclusion “All metals are diamond”.
    This is Conclusion II.