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Statements : Some headphones are earphones. All earphones are telephones. No telephones are television.

Conclusions :
I. No earphones are television.
II. Some headphones are not television.
III. Some headphones are telephones.
IV. Some telephones are not television.

A. All follow

B. Only I, II & III follow

C. Only II, III & IV follow

D. Only I, III & IV follow

E. None of these

Answer: Option A

Solution (By Examveda Team)

Understanding the Statements:
The question gives us three statements about headphones, earphones, telephones, and televisions. Let's break them down:
Statement 1: Some headphones are earphones. This means there's an overlap between headphones and earphones; some headphones belong to the group of earphones, but not all.
Statement 2: All earphones are telephones. This means every single earphone is also a telephone.
Statement 3: No telephones are televisions. This means there is absolutely no overlap between telephones and televisions. They are completely separate.

Analyzing the Conclusions:
Now let's look at the conclusions and see if they logically follow from the statements above.
Conclusion I: No earphones are televisions. This is TRUE. Since all earphones are telephones (Statement 2), and no telephones are televisions (Statement 3), then it follows that no earphones can be televisions.
Conclusion II: Some headphones are not televisions. This is TRUE. We know some headphones are earphones (Statement 1), and no earphones are televisions (Conclusion I), so it's certain that at least some headphones are not televisions.
Conclusion III: Some headphones are telephones. This is TRUE. Some headphones are earphones (Statement 1), and all earphones are telephones (Statement 2). Therefore, some headphones must also be telephones.
Conclusion IV: Some telephones are not televisions. This is TRUE. Statement 3 directly tells us that no telephones are televisions, which means all telephones are *not* televisions.

Finding the Correct Answer:
Since Conclusions I, II, III, and IV are all true based on the given statements, the correct option is A: All follow.

This Question Belongs to Competitive Reasoning >> Syllogisms

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Comments (5)

  1. Pranay Gorde
    Pranay Gorde:
    9 months ago

    Rong answer provide multiple questions please correct answer provide

  2. Ashwinkumar Somannavar
    Ashwinkumar Somannavar:
    5 years ago

    Plz mention the explanations as the answer given by you is wrong

  3. Ashwinkumar Somannavar
    Ashwinkumar Somannavar:
    5 years ago

    Plz explain as I think only 3&4 are correct

  4. Harry Saini
    Harry Saini:
    6 years ago

    I think only 3 and 4 conclusions is the right answer

  5. Debajyoti De
    Debajyoti De:
    6 years ago

    i think option b is the right answer

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