If the number 23P62971335 is divisible by the <strong>SMALLEST</strong> odd composite number, then what is the value of P?

  1. A. 4
  2. B. 5
  3. C. 6
  4. D. 7

Correct Answer: A. 4

Explanation

The smallest odd composite number is 9. A number is divisible by 9 if the sum of its digits is a multiple of 9. Sum of digits = 2+3+P+6+2+9+7+1+3+3+5 = 41 + P. For 41+P to be divisible by 9, the closest multiple is 45, making P = 4.

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