Number Properties Puzzle – Challenge 21

Challenge:

If \(y = 7 × 10^{83}+3\), what is the remainder when y is divided by 9?

A- 0

B- 1

C- 2

D- 3

E- 4

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Divisibility rules for a divisor of 9:
A number is divisible by 9 if the sum of the digits is divisible by 9. For example 126 is divisible by 9, since, 1 + 2 + 6 = 9 is divisible by 9.
\(7 × 10^{83}+3 = 7, 000,…, 000 + 3 = 7,000 ,…,003\)
The sum of the digits is 10.

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