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On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ?

Correct Answer: 47619

Explanation:

By hit and trail, we find that


47619 x 7 = 333333.


7) 333333 (47619
    333333
----------------
        0


And 476190476 x 7 = 3333333333 but smallest number is 47619.


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