The 7-digit number 22A675B is divisible by 3. What is the minimum value of (A + B)?
2
By the divisibility rule for 3, the sum of all digits of the number must be a multiple of 3.
Sum of digits = 2 + 2 + A + 6 + 7 + 5 + B = 22 + A + B.
For 22 + A + B to be divisible by 3, (A + B) must leave remainder 2 when divided by 3, since 22 leaves remainder 1.
The smallest non-negative value of (A + B) satisfying this is 2 (for example, A = 0, B = 2).
Hence, the correct answer is 2.
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select the correct answer using the code given below:
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