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To solve this problem, we need to find the minimum value of \( AB \), where the 12-digit number "20251034B15A" is divisible by 21.

### Step 1: Divisibility Rule for 21
The number is divisible by 21 if it is divisible by both 3 and 7 (since \( 21 = 3 \times 7 \)).

### Step 2: Divisibility by 3
A number is divisible by 3 if the sum of its digits is divisible by 3.

Given number: \( 20251034B15A \)
- Known digits sum: \( 2 + 0 + 2 + 5 + 1 + 0 + 3 + 4 + 1 + 5 = 23 \)
- To ensure divisibility by 3, we need \( 23 + B + A \equiv 0 \pmod{3} \).

Thus, \( 23 + B + A \equiv 0 \pmod{3} \), or equivalently, \( B + A \equiv 1 \pmod{3} \).

### Step 3: Divisibility by 7
Divisibility by 7 is more complex and often involves trial

Given that 20251034B15A is a 12-digit number divisible by 21, find the minimum value of AB.

Solve the problem where the 12-digit number 20251034B15A is divisible by 21. Learn how to use divisibility rules for 3 and 7 to find the minimum value of AB.

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