Discussion
Which digit should replace '*' in the number 987*54 to make it divisible by 6?
Answer: B
For a number to be divisible by 6, it must be divisible by both 2 and 3.
1. Divisibility by 2: The number ends in 4, which is even. So, it is divisible by 2.
2. Divisibility by 3: The sum of its digits must be divisible by 3. Sum = \(9+8+7+*+5+4 = 33 + *\).
We need \(33 + *\) to be a multiple of 3. Since 33 is already a multiple of 3, * must also be a multiple of 3. The possible single-digit values are 0, 3, 6, 9. From the options, the value is 3.
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