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Question
Every even and odd integers can be represented as _____ and ______ respectively.
Every even and odd integers can be represented as _____ and ______ respectively.
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Solution
The correct option is A 2q and 2q+1
By Euclid's lemma,
a = bq + r, 0 <= r < b.
Let b = 2,
a = 2q when r = 0, then a is an even number
a = 2q + 1, when r = 1, then a is an odd number.
By Euclid's lemma,
a = bq + r, 0 <= r < b.
Let b = 2,
a = 2q when r = 0, then a is an even number
a = 2q + 1, when r = 1, then a is an odd number.
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