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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 balls bounce.
All balls vibrate.
Conclusions:
I. Even the balls that do not bounce, vibrate.
II. The balls that do not bounce, do not necessarily vibrate.

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
Only conclusion I follows.

Logical Deduction on Balls Vibrating and Bouncing

Statement Analysis

We are given two statements:

  • Statement 1: Some balls bounce. (This implies some may not bounce)
  • Statement 2: All balls vibrate. (This is a universal truth for all balls in this context)

Conclusion Evaluation

Let's analyze the conclusions based on the statements:

Conclusion I: Even the balls that do not bounce, vibrate.

  • Statement 2 says all balls vibrate.
  • This means any ball, regardless of whether it bounces or not, must vibrate.
  • Therefore, the balls that do not bounce must also vibrate.
  • Conclusion I logically follows.

Conclusion II: The balls that do not bounce, do not necessarily vibrate.

  • This conclusion contradicts Conclusion I.
  • Since Statement 2 guarantees that all balls vibrate, it is a certainty, not just a possibility, that balls that do not bounce also vibrate.
  • The phrase "do not necessarily vibrate" suggests uncertainty, which is false given Statement 2.
  • Conclusion II does not logically follow.

Final Deduction

Based on the analysis, only Conclusion I is a logical consequence of the given statements.

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Similar Questions

  1. Read the given statement(s) 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 statement(s).

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  5. Read the given statements and decide which of the conclusions given in the options logically follow 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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