In this question, three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.

Statements:

Some roses are yellow.

Some yellow are buses.

All buses are green.

Conclusions:

I. All yellow are roses.

II. Some buses are yellow.

III. All yellow are green.

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 3)
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  1. Only conclusion III follows.
  2. None of the conclusions follows.
  3. Only conclusion II follows.
  4. Only conclusion I follows.

Answer (Detailed Solution Below)

Option 3 : Only conclusion II follows.
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Detailed Solution

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The least possible Venn diagram is:

F1 SSC Arbaz 31-1-24 D48

Conclusions:

I. All yellow are roses. → Does not follow (As, Some roses are yellow and Some yellow are buses → Some yellow are roses)

II. Some buses are yellow. Follows (As, Some yellow are buses)

III. All yellow are green. → Does not follow (As, Some yellow are buses and All buses are green → Some yellow are green)

Hence, 'Only conclusion II follows' is the correct answer.

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