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Byju's Answer
Standard XII
Mathematics
Exhaustive Events
The conjuncti...
Question
The conjunction of statement :"The college is closed if and only if it is Sunday."
A
The college is closed and it is Sunday.
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B
The college is closed if and only if it is Sunday.
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C
The college is closed or it is Sunday.
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D
The college is closed if it is Sunday.
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Solution
The correct option is
A
The college is closed and it is Sunday.
Conjuntion of two events means both occur simultaneously.
So, two statements are joined by AND.
Here, statement 1 is "The college is closed" statement 2 is "it is Sunday"
Hence,
A
is correct.
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