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Statements: No circles are squares. Some squares are triangles.

Conclusions: I. Some triangles are not circles.

II. No triangle is a circle.

AOnly I follows

BOnly Il follows

CBoth I and Il follow

DNeither I nor Il follows

Answer:

A. Only I follows

Read Explanation:

Let’s analyze the statements:

Statements:

  1. No circles are squares → (Circles ∩ Squares = ∅)

  2. Some squares are triangles → (Some Squares overlap with Triangles)

Now evaluate conclusions:

Conclusion I: Some triangles are not circles

  • Some squares are triangles.

  • Those squares are definitely not circles (since no square is a circle).

  • So, at least some triangles (those squares) are not circles.

✔️ Conclusion I follows


Conclusion II: No triangle is a circle

  • We only know some squares are triangles, not all triangles.

  • It is possible that some triangles (outside squares) could still be circles.

  • So this conclusion is not निश्चित / not guaranteed.

Conclusion II does not follow


Final Answer:

Only Conclusion I follows.


Related Questions:

Instruction: Identify the assumptions that must hold for the statement to be valid, then choose the correct option.

Statement: Despite the unpredictability of future technologies, regulatory frameworks must evolve to preempt ethical crises.

Assumptions:

I. Unregulated technological growth can cause ethical dilemmas.

Il. Ethical standards are often retrofitted to existing technology.

IlI. Regulatory systems can always accurately predict technological outcomes.

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 balloons are mangoes. All balloons are foams. Conclusions: (I): Some mangoes are foams. (II): All foams are balloons.
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 pots are tears. Some tears are bottles. All bottles are cloves. Conclusions: (I): All cloves are tears. (II): Some cloves are pots.
Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster DOES NOT belong to that group? (Note: The odd man out is not based on the number of consonants/vowels or their position in the letter-cluster.)

Read the following statements and evaluate the conclusions based on traditional syllogistic logic. Consider the statements to be absolutely true, even if they appear contrary to known facts. Determine which conclusion(s) logically follow from the given statements.

Statements:

All metals are elements.

Some elements are gases.

Conclusions:

I. Some metals are gases.

II. All gases being elements is a possibility.