Syllogism


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) Blue is Black and some Black is red.
    (b) All red is Green but not Yellow
    Conclusions:
    I. Some Blue is Green.
    II. No Black is Yellow.
    III. Some Black is not Yellow.
    IV. No Black is Green.









  1. View Hint View Answer Discuss in Forum

    Draw a figure and solve the question.
    Some blue is red and All red is green. Therefore, some blue is green.

    Correct Option: A

    Some blue is red and All red is green. Therefore, some blue is green.
    Clearly, no black is yellow. Thus, only Conclusions I and II follow.



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

  1. Statements:
    Some books are novels.
    All novels are magazines. Some magazines are journals.
    Conclusions:
    I. Some novels are journals.
    II. Some books are magazines.
    III. All books are magazines.
    IV. No novel is a journal.









  1. View Hint View Answer Discuss in Forum

    First and third Premises are Particular Affirmative (I-type).
    Second Premise is Universal Affirmative (A-type).
    Some books are novels. ↔ All novels are magazines.

    Correct Option: D

    First and third Premises are Particular Affirmative (I-type).
    Second Premise is Universal Affirmative (A-type).
    Some books are novels. ↔ All novels are magazines.
    I + A ⇒ I-type of Conclusion. “Some books are magazines.”
    It is Conclusion II.
    Conclusions I and IV form Complementary Pair. Therefore, either Conclusion I or IV follows.



Direction: Consider the given statements to be true and decide which of the given Conclusions/assumptions can definitely be drawn from the given statements.

  1. Statements:
    1. All cycles are ducks.
    2. All ducks are swans.
    Conclusions:
    I. All swans are cycles.
    II. Some swans are cycles.









  1. View Hint View Answer Discuss in Forum

    Both the Premises are Universal Affirmative (A–type).
    All cycles are ducks. ↔ All ducks are swans.

    Correct Option: B

    Both the Premises are Universal Affirmative (A–type).
    All cycles are ducks. ↔ All ducks are swans.
    A + A ⇒ A–type of Conclusion “All cycles are swans.”
    Conclusion II is the Converse of it.


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.

  1. 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.









  1. View Hint View Answer Discuss in Forum

    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.

  1. Statements:
    a. Some clerks are poor.
    b. A is poor.
    Conclusions:
    a. A is clerk.
    b. A has a large family.









  1. View Hint View Answer Discuss in Forum

    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.