Direction: Select the option that is true about the Statements and Conclusions…

2026

Direction: Select the option that is true about the Statements and Conclusions given:

Statements:

Some Maps are Idols.

Some Idols are Rings.

Some Rings are Covers.

Conclusions:

I. Some Covers are Idols.

II. Some Rings are Maps.

III. Some Covers are Maps.

  1. A.

    Only conclusion I follows

  2. B.

    Both conclusions II and III follow

  3. C.

    None of the conclusions follows

  4. D.

    All conclusions I, II and III follow

Attempted by 963 students.

Show answer & explanation

Correct answer: C

Answer: None of the conclusions follows.

Key insight: 'Some A are B' guarantees at least one element in the overlap, but different 'some' statements can refer to different elements. Therefore overlaps cannot be chained automatically.

Counterexample (satisfies all given statements but makes every conclusion false):

  • Maps = {m}

  • Idols = {m, i} (so some Maps are Idols via element m)

  • Rings = {i, r} (so some Idols are Rings via element i)

  • Covers = {r} (so some Rings are Covers via element r)

Check the conclusions with this arrangement:

  • Conclusion I (Some Covers are Idols): Not true here because Covers = {r} and Idols = {m, i} have no common element.

  • Conclusion II (Some Rings are Maps): Not true here because Rings = {i, r} and Maps = {m} have no common element.

  • Conclusion III (Some Covers are Maps): Not true here because Covers = {r} and Maps = {m} have no common element.

Because a valid arrangement exists where all three conclusions are false, none of the conclusions follows necessarily from the given statements.

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