Fre-quency
Quency is writing down the numbers from 1 to 1000. On a tabular column, he is measuring the frequency with which each digit appears. What is the sum of the squares of the number that appears most frequently and the number that appears least frequently?
The answer is 1.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Between 1 and 999 all digits 1-9 appear with the same frequency, thus once we count to 1000, 1 becomes the most common digit. The digit 0 is least common because unlike all the other digits it can't start a number. The sum of these two numbers squares is 1+0=1.