Number Properties Puzzle – Challenge 21
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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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The correct answer is B.
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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