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Question

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

Some inkpots are kettles.

All utensils are candies.

No kettle is utensil.

Conclusions:

1. Some inkpots are candies.

2. Some kettles are inkpots.

3. Some candies are inkpots.

This question was previously asked in
SSC Stenographer 2019 Previous Year Paper (24-Dec-2020) (Shift 2)
The correct answer is

Only conclusion 2 follows

To solve this syllogism, let's analyze the relationships between the items step-by-step using a logical breakdown.

Statement Analysis

Some inkpots are kettles: There is an overlap between the group of "inkpots" and "kettles."

All utensils are candies: The entire circle of "utensils" sits inside the circle of "candies."

No kettle is utensil: The "kettle" circle and the "utensil" circle must never touch or overlap.

Evaluating the Conclusions

Conclusion 1: Some inkpots are candies. While we know some inkpots are kettles, and kettles cannot be utensils, there is no direct information linking inkpots to candies. The "candies" circle could be anywhere as long as it contains utensils. Therefore, this does not logically follow.

Status: Does not follow.

Conclusion 2: Some kettles are inkpots. The first statement says "Some inkpots are kettles." In logic, "Some A are B" always implies that "Some B are A." This is a direct reversal of the first statement.

Status: Follows.

Conclusion 3: Some candies are inkpots. Similar to Conclusion 1, there is no statement that forces the "candies" circle to overlap with the "inkpots" circle. While it could happen, it isn't a logical certainty based on the rules provided.

Status: Does not follow.

Final Answer

Only Conclusion 2 logically follows from the given statements.

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Similar Questions

  1. Three Statements are given followed by Four conclusions numbered I, II, III and IV. 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.

    Statements:

    Some curtains are pillows.

    No pillow is a bedsheet.

    Some curtains are bedsheets.

    Conclusions:

    I. No curtain is a bedsheet.

    II. No pillow is a curtain.

    III. Some bedsheets are curtains.

    IV. Some pillows are curtains.

  2. 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.

    Statements:

    All dates are cashews.

    All cashews are raisins.

    Some raisins are almonds.

    Conclusions:

    I. All almonds being dates is a possibility.

    II. All dates are raisins.

    III. No cashew is an almond.

  3. Two statements are given followed by two conclusions numbered I and II. 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.

    Statements:

    Some vehicles are helicopters.

    All helicopters are cars.

    Conclusions:

    I. All vehicles are cars.

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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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    Some plants are flowers.

    Some flowers are fruits.

    All flowers are gardens.

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    II. Some fruits are gardens.

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  5. Two 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.

    Statements:

    All teachers are engineers.

    All clerks are teachers.

    Conclusions:

    I. Some engineers are clerks.

    II. Some teachers are clerks.

    III. Some clerks are not engineers.

  6. 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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    All classrooms are schools.

    No school is a park.

    All houses are parks.

    Conclusions:

    I. No house is a classroom.

    II. No park is a classroom.

    III. No school is a house.

  7. Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

    Statements:

    Some fans are hammers.

    All hammers are fishes.

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  8. Read the given statements and conclusions carefully. Assuming that the information given in the statement is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

    Statements:

    Some fans are coolers.

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  9. 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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  10. Two statements are given followed by two conclusions numbered I and II. 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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    Some blankets are quilts.

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Important Questions from Conventional Syllogism

  1. Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

    Statements:

    1. Some flowers are chemicals.

    2. Some chemicals are herbs.

    Conclusions:

    I. No flower is a herb.

    II. Some flowers are herbs.

  2. Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

    Statements:

    All students are teachers.

    All teachers are professors.

    Conclusions:

    1. All students are professors.

    2. All professors are students.

    3. No teacher is a professor.

  3. Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

    Statements:

    I. Some dentists are surgeons.

    II. All the surgeons are doctors.

    Conclusions:

    I. Some dentists are doctors.

    II. No surgeons are dentists.

  4. 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 at variance with generally established facts. decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.

    Statements:

    1) Some angers are griefs.

    2) Some griefs are loves.

    Conclusion:

    I. Some griefs are angers.

    II. Some loves are griefs
  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:

    Some cows are deer.

    Some deer are fishes.

    Conclusion:

    I. Some cows are fishes.

    II. Some fishes are cows.

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