An integer consists of 110 digits such that any Consecutive 10 digits is different. What is the sum of all the digits
a.495
b.500
c.1105
d.1495
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Given : An integer consists of 110 digits such that any consecutive 10 digits is different.
To Find : What is the sum of all the digits
Solution:
Total digits = 100
any consecutive 10 digits is different.
Hence each set of 10 digits will be having all 10 digits from
0 to 9
Sum of 10 10 digits from 0 to 9 = 9 (10)/2 = 45
There are 110 Digits
Hence 110/10 = 11 such combination
so total sum = 45 * 11
= 495
sum of all the digits = 495
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