Question 78

The number of non zero digits in $$(101010101)^2$$ is

Solution

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Let's check this for smaller number $$(101)^2$$=10201

$$(10101)^2$$=102030201

$$(1010101)^2$$=1020304030201

The similar pattern follows for $$(101010101)^2$$. And the value will be 10203040504030201. So, there are 9 non-zero digits.

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