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Question

A six digit number is formed by repeating a three digit number, for example $$256256$$ or $$ 678678$$ etc. Any number of this form is always exactly divisible by


A
7 only
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B
11 only
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C
All of these
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D
1001
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Solution

The correct option is B $$1001$$
Given numbers can be written as,
$$256256 = 256\times 1001$$ and
$$678678 = 678\times 1001$$
So, any number of this form is divisible by $$1001$$

Mathematics

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