Question

An integer consists of 110 digits such that any 10 consecutive digits is different. What is the sum of all the digits ?

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Answer 1

Answer:

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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Answer 2

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