Direction: In the question below are given two statements followed by two…

2025

Direction: In the question below are given two statements followed by two conclusions numbered I, and II .You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

I. All truth are sour

II. Some sour are not sweet

Conclusions:

I. Some sweet are not sour

II. No truth is sweet

  1. A.

    Only conclusion II follows

  2. B.

    Only conclusion I follows

  3. C.

    Either conclusion I or II follows

  4. D.

    None of the conclusions follow

Attempted by 10 students.

Show answer & explanation

Correct answer: D

In syllogism problems solved through Venn diagrams, a conclusion is valid only if it holds true in every possible diagram that satisfies the given statements, not just in the one diagram that seems most natural. If even one valid diagram breaks a conclusion, that conclusion does not follow.

  1. "All truth are sour" places the entire Truth circle inside the Sour circle.

  2. "Some sour are not sweet" only requires that part of Sour lies outside Sweet. It does not fix whether Sour and Sweet overlap at all, or where Truth sits relative to that overlap.

  3. Conclusion I needs some element of Sweet to lie outside Sour. No statement guarantees this, so a valid diagram exists where Sweet lies wholly inside Sour, breaking conclusion I.

  4. Conclusion II needs Truth and Sweet to never intersect. No statement fixes Truth's position relative to Sweet, so a valid diagram exists where part of Truth overlaps Sweet, breaking conclusion II.

Since each conclusion fails in at least one diagram consistent with both statements, and the two conclusions do not form a complementary either/or pair (they depend on two separate, independently unresolved relationships), neither conclusion is forced to be true. The diagram below shows one such valid, least-possible arrangement, where Truth stays fully inside the sour-only region.

Hence, none of the conclusions follow.

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