Statements: Some fans are moons. All planets are fans. No planet is a universe. Conclusions: I. Some moons, if they are planets, are also fans. II. All universes being fans is a possibility.
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 both conclusions I and II follow. Fig 1 is a basic Venn diagram representation of Statements.
Conclusion I: Some moons, if they are planets (red area) are also fans is true. As red area is inside fans also. It follows.See fig 2
Conclusion II: From fig 2, it can be clearly concluded that it follows.