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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

  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.

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    All twenty are thirty.

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    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.
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    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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