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Q. Let x be the smallest number, which when added to 2000 make the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is = ?
LCM of 12, 16, 18, 21 = 1008 Next number = 1008 × 2 = 2016 Divisible by all ∴ 16 is added Sum of digits = 1 + 6 = 7
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