Discussion
Which of the following numbers is divisible by 99?
Answer: A
For a number to be divisible by 99, it must be divisible by both 9 and 11.
Let's check option A: 114345.
1. Divisibility by 9: Sum of digits = \(1+1+4+3+4+5 = 18\). Since 18 is divisible by 9, the number is divisible by 9.
2. Divisibility by 11: Sum of alternate digits are \((5+3+1)=9\) and \((4+4+1)=9\). The difference is \(9-9=0\). Since the difference is 0, the number is divisible by 11.
Since 114345 is divisible by both 9 and 11, it is divisible by 99.
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