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:

Some cushions are sofas.

Some purses are cushions.

All sofas are purses.

Conclusions:

I. Some cushions are purses.

II. Some purses are sofas.

III. Some sofas are cushions.

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  1. Only conclusion II follows
  2. All conclusions follow
  3. Only conclusion III follows
  4. Only conclusion I follows

Answer (Detailed Solution Below)

Option 2 : All conclusions follow
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The least possible Venn diagram is,

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Conclusions:

I. Some cushions are purses → Follows (As some purses are cushions, then some cushions will also be purses).

II. Some purses are sofas → Follows (As all sofas are purses, then some purses will be sofas).

III. Some sofas are cushions → Follows (As some cushions are sofas, then some sofas will be cushions).

Hence, the correct answer is "All conclusions follow".

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