Statement: All dolls are toys. Some toys are gems. Some gems are boxes. All boxes are sticks. Conclusions: I. Some sticks are gems. II. Some gems are dolls. III. Some sticks are dolls. IV. Some toys are dolls.

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Accepted Answer

Some gems are boxes + All boxes are sticks = I + A = I = Some gems are sticks → Conversion → Some sticks are gems (I) Hence I follows All dolls are toys + Some toys are gems No conclusion Hence II and consequently III do not follow. All toys are dolls (A) → conversion → Some toys are dolls (I) Hence IV follows.

Statement: All dolls are toys. Some toys are gems. Some gems are boxes. All boxes are sticks. Conclusions: I. Some sticks are gems. II. Some gems are dolls. III. Some sticks are dolls. IV. Some toys are dolls.

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