Question

Statements: No currency is a coin. Some coins are powder. All plastics are currencies. Conclusions: No coin is plastic. All plastics being powder is a possibility. Option 1)

if only Conclusion I follows

Option 2)

if only Conclusion II follows

Option 3)

if either I or II follows

Option 4)

if neither I nor II follows

Option 5)

if both I and II follows

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Answer

The correct option is 5: *if both Conclusion I and Conclusion II follow*.

Explanation:

Let's analyze the given statements and the conclusions:

  1. Statements:

    • No currency is a coin.
    • Some coins are powder.
    • All plastics are currencies.
  2. Conclusions:

    • No coin is plastic.
    • All plastics being powder is a possibility.

Verifying Conclusion I:

  • From the statement "All plastics are currencies" and "No currency is a coin," we can infer that no plastic can be a coin. Hence, Conclusion I: "No coin is plastic" is correct.

Verifying Conclusion II:

  • The statement "Some coins are powder" indicates an existence of a relationship between coins and powder.
  • Since we know that all plastics are currencies, and no currency is a coin, plastics and coins do not overlap. However, there is no restriction that plastics and powders can't overlap since they belong to entirely different categories.
  • Therefore, All plastics being powder remains a possibility, even though we have no definitive statement connecting all plastics directly to powder.

Hence both conclusions follow based on the initial statements. Therefore, the correct option is 5: if both Conclusion I and Conclusion II follow.


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