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Question
The sum of any two successive odd numbers is always divisible by 4. Justify this statement with an example
Options
True
False
Solution
True
Explanation:
The sum of any two consecutive odd numbers is divisible by 4
For example 11 + 13 = 24, divisible by 4
Also, all the consecutive odd numbers are of the form 4n + 1 or 4n + 3
Their sum = 4n + 4 which is divisible by 4.
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The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.