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Question

The set of odd integers is closed under


A
addition
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B
subtraction
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C
multiplication
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D
division
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E
none of these
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Solution

The correct option is B multiplication
In order to answer this question, take two odd numbers
Let the odd numbers be $$1$$ and $$3$$
$$1+3 = 4$$ (not odd)
$$3-1=2$$ (not odd)
$$1 \times 3 = 3$$ (odd)
$$ 1\div 3 = 1/3$$ (not an integer)
So, the odd integers are closed under multiplication.

Mathematics

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