Let N=12345678AB be a 10-digit number, where A, B are digits. If N is divisible by 9, then which of the following statements is/are correct?<br>I. (A+B) is divisible by 9<br>II. If A is odd, then B is odd

Explanation

A number is divisible by 9 if the sum of its digits is divisible by 9. The sum of the digits of N is 36 + A + B. Since 36 is divisible by 9, (A+B) must also be divisible by 9 (Statement I is true). If A+B=9, A could be odd (e.g., 1) and B would be even (e.g., 8). Thus, Statement II is false.

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