Question

Statements:       Some reds are blues.

                          All blues are greens.

                          Some greens are not yellows.

Conclusions:      I. Some yellows are reds.

                           II. Some yellows are blues.

                           III. Some greens are reds.

A None follows Correct Answer Incorrect Answer
B Only I follows Correct Answer Incorrect Answer
C Only II follows Correct Answer Incorrect Answer
D Only III follows Correct Answer Incorrect Answer

Solution

Some reds are blues (I) + All blues are greens (A) ⇒ Some reds are greens (I) + Some greens are not yellows (O) ⇒ No conclusion. Hence, conclusion I does not follow.  All blues are greens (A) + Some greens are not yellows (O) ⇒ No conclusion. Hence, conclusion II does not follow. Some reds are blues (I) + All blues are greens.(A) = Some reds are greens.(I) ⇒ conversion ⇒  Some greens are reds (I) Hence, conclusion III follows. Alternate Method: Conclusion I: Not necessarily true based on given venn diagram. Conclusion II:  Not necessarily true based on given venn diagram. Conclusion III:  It is true based on given venn diagram. Hence, option (d) is the correct answer. 

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