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Sia ? 4 years, 4 months ago
The divisibility test of 8 is that the last 3 digits of a number should be divisible by 8.
124/ 8 = 15.5
As 124 is not exactly divisible by 8, 67529124 is not divisible by 8.
Vanisha Saxena 4 years, 4 months ago
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Preeti Dabral 4 years, 4 months ago
According to the question, we have to show that every positive integer is either even or odd.
Let us assume that there exists a smallest positive integer that is neither odd nor even, say n. Since n is the least positive integer which is neither even nor odd, n - 1 must be either odd or even.
Case 1: If n - 1 is even, n - 1 = 2k for some k.
But this implies n = 2k + 1
This implies n is odd.
Case 2: If n - 1 is odd, n - 1 = 2k + 1 for some k.
But this implies n = 2k + 2 = 2(k + 1)
This implies n is even.
Therefore,In both cases , we arrive at a contradiction.
Thus, every positive integer is either even or odd
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