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Question

Find the largest three-digit number which is exactly divisible by $$47.$$

Solution
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smallest 5 digit number$$ = 10000$$
On dividing $$10000$$ by $$254,$$ we get
Remainder = 94
So $$254 - 94 = 160$$ should be added to $$10000$$ to get the smallest 5 digit number divisible by $$254.$$
$$\therefore 10000 + 160 = 10160$$

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