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Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.

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197

Let 'N' is the smallest number which divided by 13 and 16 leaves respective remainders of 2 and 5.
Required number = (LCM of 13 and 16) - (common difference of divisors and remainders) = (208) - (11) = 197.