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Question

(i) All jasmine in the garden are white.

(ii) Some flowers are jasmine.

(iii) All flowers in the garden are not white.

If the first two statements are true, the third statement is

The correct answer is

Uncertain

Statement (i) tells us only that every jasmine flower growing in the garden is white. It says nothing about the colour of any other kind of flower in the garden.

Statement (ii) says some flowers are jasmine. It does not say that these jasmine flowers are in the garden, so we cannot even be sure the garden contains a white flower.

Statement (iii) claims that all flowers in the garden are not white. Whether it is read as no garden flower is white or as not every garden flower is white, the first two statements neither prove it nor disprove it, because the colour of the remaining garden flowers is unknown.

Since the conclusion cannot be fixed as definitely true or definitely false from the given premises, its truth value is uncertain.

Hence, Uncertain.

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Important Questions from Syllogism

  1. The statements below are followed by conclusions labeled I, II and III. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.

    Statements:

    All twenty are thirty.

    All thirty are forty.

    All forty are sixty.

    All sixty are seventy.

    Conclusions:

    I. Some forty are thirty.

    II. Some seventy are sixty.

    III. No thirty is twenty.
  2. The statements below are followed by two conclusions labelled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.

    Statements:

    All Strong are animals.

    Some animals are Tigers.

    All Tigers are Sharp.

    Conclusions:

    I. Some Strong are Sharp.

    II. No Strong is Sharp.
  3. The statements below are followed by conclusions labelled I, II and III. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.Statements:

    Some women are weak.

    Some weaks are female.

    All female are iron.

    All iron are gold.Conclusions:

    I. Some weaks are iron.

    II. Some gold are weaks.

    III. Some women are female.

  4. The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.Statements:

    Some teaspoons are glasses.

    All teddies are teaspoons.

    Conclusions:

    I. Some teddies are glasses.

    II. Some glasses are teddies.

  5. The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally Established facts, decide which conclusion(s) logically and definitely follow(s) from the Information, Given in the Statements.

    Statements:

    All bangles are rings.

    Some rings are toys.

    Some toys are dolls.

    Conclusions:

    I. Some rings are bangles.

    II. Some dolls are rings.
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