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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 conclusion(s) logically follow(s) from the statements.

Statements:
I. All books are pencils.
II. All pencils are cardboards. 
III. All cardboards are notebooks.

Conclusions:
I. Some notebooks are pencils.
II. Some cardboards are books.
III. Some notebooks are books.

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is

All conclusions I, II and III follow.

This question tests your understanding of categorical syllogisms and deductive reasoning. Let's analyze each statement and conclusion:

Statements:

  • All books are pencils.
  • All pencils are cardboards.
  • All cardboards are notebooks.

Conclusions:

  • I. Some notebooks are pencils. This is TRUE. Since all pencils are cardboards, and all cardboards are notebooks, it follows that some notebooks (at least those that are pencils) are pencils.
  • II. Some cardboards are books. This is TRUE. Since all books are pencils, and all pencils are cardboards, it follows that some cardboards (at least those that are books) are books.
  • III. Some notebooks are books. This is TRUE. Since all books are pencils, all pencils are cardboards, and all cardboards are notebooks, it follows that some notebooks (at least those that are books) are books.

Therefore, all conclusions I, II, and III logically follow from the given statements.

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Similar Questions

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Important Questions from Syllogism

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  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:

    No creative is an employer.

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  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.

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    Conclusions:

    I. Some actors are directors.

    II. Not a single actor is a director.

  4. 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. All flowers are tulips.

    2. No tulips are whites.

    Conclusions :

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  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 rats are dogs.

    Some rats are hens.

    Conclusions:

    I. Some rats are dogs.

    II. Some hens are rats.

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