What percentage of numbers from 1 to 70 have | vedclass

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(C) number whose square ends in the digit $1$ must end in either $1$ or $9$.In every set of $10$ consecutive integers,there are exactly two numbers wh

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$20$

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(C) number whose square ends in the digit $1$ must end in either $1$ or $9$.In every set of $10$ consecutive integers,there are exactly two numbers whose squares end in $1$ (e.g.,in $1$ to $10$,these are $1$ and $9$).For the range $1$ to $70$,there are $7$ such sets of $10$ numbers.Thus,the total count of such numbers is $7 	imes 2 = 14$.The numbers are $1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69$.The percentage of such numbers is calculated as $\frac{14}{70} 	imes 100 = 20\%$.

What percentage of numbers from $1$ to $70$ have squares that end in the digit $1$?

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