Directions : In each of the following questions a statement is given, followed…

2024

Directions : In each of the following questions a statement is given, followed by two conclusions. Give answer :

Statement : Most of the Indian States existed before independence.

Conclusion :

I. Some Indian States existed before independence.

II. Some Indian States did not exist before independence.

  1. A.

    Only conclusion I follows.

  2. B.

    Only conclusion II follows.

  3. C.

    Either I or II follows.

  4. D.

    Neither I nor II follows.

Attempted by 2 students.

Show answer & explanation

Correct answer: A

Concept

In statement–conclusion reasoning, the quantifier 'most' means a majority — more than half of the group. A conclusion 'follows' only when the statement guarantees it with certainty; a claim that is merely possible does not follow.

Applying it

Statement: 'Most of the Indian States existed before independence.'

  • Conclusion I — 'Some existed': a majority existing certainly includes at least a few, so this weaker claim is guaranteed and therefore follows.

  • Conclusion II — 'Some did not exist': 'most' only fixes the majority that did exist and asserts nothing definite about the remainder, which could also have existed; so this is possible but not guaranteed, and does not follow.

Cross-check

  • 'Either I or II' applies only when neither conclusion is individually certain; here the first conclusion is certain, so this verdict does not fit.

  • 'Neither follows' is ruled out because the first conclusion is definitely established.

Hence only the first conclusion is logically valid: Only conclusion I follows.

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