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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 chairs are tables.
All tables are furniture.
Conclusions:
(I) Some furniture are chairs.
(II) No furniture is a chair.

The correct answer is
Only conclusion (I) follows.

To solve this logical reasoning question, let's analyze the given statements and conclusions.

Statements:

  • Some chairs are tables.
  • All tables are furniture.

Conclusions:

  • (I) Some furniture are chairs.
  • (II) No furniture is a chair.

Explanation:

  1. From the statement "Some chairs are tables," we understand that there is an overlap between the set of chairs and the set of tables.
  2. The second statement, "All tables are furniture," indicates that the entire set of tables is included within the set of furniture.
  3. Combining these two statements, we can infer that the chairs that are tables must also be part of the furniture. Therefore, some furniture are indeed chairs, supporting conclusion (I).
  4. Conclusion (II), "No furniture is a chair," directly contradicts the derived inference from the given statements. Since the first conclusion was logically derived, the second conclusion cannot follow.

Thus, based on the above reasoning:

The correct answer is: Only conclusion (I) follows.

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Important Questions from Syllogism (Notes)

  1. Take the given statements to be true even if they seem to be at variance with commonly known facts. Then decide which of the given conclusions logically follow the given statements. 

    Statements : 

    0% chairs are tables. 

    All computers are chairs. 

    Some books are tables. 

    Conclusions : 

    I. Not a single table is a computer. 

    II. Some books are not chairs.

  2. Directions: Study the following Bar-chart and the data provided to answer the questions that follow: Sales of 3-different companies selling T-Shirts for the years from 2006 to 2009 are given. How much percentage of sales decreased for Brand X T-shirt in 2009 compared with 2007?

  3. Statements: 

    All herbivores are carnivores.

     Some carnivores are omnivores. 

    Conclusions:

     i) Some herbivores are omnivores.

     ii) Some carnivores are herbivores.

  4. Statements: 

    All sweets are snacks. 

    All snacks are crisps. 

    All crisps are tasty. 

    Conclusions: 

    i) All sweets are crisps. 

    ii) All snacks are tasty.

  5. 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 furs are rabbits.
    All furs are plants.
    Conclusions:
    (I): Some rabbits are plants.
    (II): All plants are furs.

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