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Question

Statements : All leaves are roots.
Some leaves are branches.
Conclusions : I. Some branches are not leaves.
II. Atleast some roots are branches.

A
if only conclusion I follows.
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B
if only conclusion II follows.
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C
if either conclusion I or II follows.
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D
if neither conclusion I nor II follows.
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E
if both conclusions I and II follow.
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Solution

The correct option is A if only conclusion II follows.
Fig 1 is a basic Venn diagram of Statements.
Conclusion I: Since it is a negative statement. From the figure 2 , it is clear that it is not necessarily true. So, it doesn't follow.
Conclusion II : Atleast some roots means may be some or all are surely branches which can be clearly concluded from both the figure.It follows.
Answer : B

783650_764169_ans_369647925a824ad4ac07318be925120e.png

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