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Question

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement 1: All clouds are fog.

Statement 2: All fog are white.

Conclusion I: Some white are clouds.

Conclusion II: Some fog are clouds.

This question was previously asked in
SSC CGL 2017 (Tier 1) Previous Year Paper (16-Aug-2017) (Shift 1)
The correct answer is

Both I and II follow

From "All clouds are fog" and "All fog are white", by transitivity, all clouds are white. Since clouds form a non-empty subset of white, Some white are clouds (Conclusion I) follows.

Also, "All clouds are fog" directly implies clouds are a subset of fog, so Some fog are clouds (Conclusion II) follows.

Therefore both I and II follow.

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Similar Questions

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  3. Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

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  4. Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

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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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