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Standard XII
Mathematics
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Choose the co...
Question
Choose the correct option about conclusion drawn from the statements given below.
Statements: 1. All pens are roads.
2. All roads are houses.
Conclusions: 1. All houses are pens.
2. Some houses are pens.
A
only conclusion 1 follows
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B
only conclusion 2 follows
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C
either conclusion 1 or 2 follows
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D
neither conclusion 1 nor 2 follows
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E
both conclusions 1 and 2 follow
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Solution
The correct option is
C
only conclusion 2 follows
From the image,
1
. All houses are pens. Is not true
2
. Some houses are pens. Is true since, all pens are houses.
So, conclusion 2 follow.
Hence, B is correct.
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