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Question

In each of the questions below are given two/three 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 given conclusions logically follows from the given statements disregarding commonly known facts.

Statements :          

Some red are yellow.

All yellow are green.

All green are pink.

Conclusions :        

I. Some red are pink.

II. Some green may not be a yellow.

A If both conclusions I and II follow Correct Answer Incorrect Answer
B If neither conclusion I nor II follows Correct Answer Incorrect Answer
C If either conclusion I or II follows. Correct Answer Incorrect Answer
D If only conclusion II follows. Correct Answer Incorrect Answer

Solution

Some red are yellow (I) + All yellow are green ⇒ Some red are green(I) + All green are pink  ⇒ Some red are pink (I). Hence, conclusion I follows. All yellow are green (A) ⇒ Conversion ⇒ Some green are yellow(I) ⇒ [Probable conclusion] ⇒ Some green may not be a yellow (O). Hence, conclusion II follows.

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