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Why is at least one number among four consecutive integers divisible by 4?

Answer and explanation

Correct answer: Because division by 4 gives the cycle of remainders 0, 1, 2, 3

Step 1: Any integer divided by 4 is of the form (4q), (4q+1), (4q+2), or (4q+3). Step 2: Four consecutive integers cover all these four remainders. Step 3: The one with remainder 0 is divisible by 4.

Related tags

Euclids-Division-LemmaConsecutive-IntegersProofEuclid’s Division LemmaEuclid S Division LemmaReal NumbersMathematicsClass 10 Mcq

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