Question

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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​

Answer 1

Answer:

d》 1495................

Answer 2

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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