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Question

Statements: No bangle is an earring.
Some earrings are rings.
Conclusions: I. No ring is a bangle.
II. Some rings are definitely not earrings.

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 E if neither conclusion I nor II follows.
Fig 1 is a basic Venn diagram of Statements.
Conclusion I: It is not necessarily true. From the figure 2, this can be clearly understood that it doesn't follow.
Conclusion II: This is not necessarily true which can be clearly understood from fig 1 that rings can be in earrings also. That is all rings can be earrings also. So, it doesn't follow.
Answer : D

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