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MHT CET Mathematics question

MathematicsProbabilityMHT CET

Out of consecutive natural numbers, natural numbers are chosen at random without replacement. The probability that the sum of the chosen numbers is divisible by , is

Answer: (C)

Solution

Among consecutive numbers, leave remainder , leave and leave on division by . The sum is divisible by if all three have the same remainder or all three remainders

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Question ID VK-027625