Question : The largest three-digit number that gives the same remainder 2 when divided by 3, 5, and 9 is ________.
Option 1: 999
Option 2: 984
Option 3: 998
Option 4: 992
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Correct Answer: 992
Solution :
The highest three-digit number = 999
LCM of 3, 5, and 9 = 45
Remainder = ($\frac{999}{45}$) = 9
The greatest 3-digit number divisible by 3, 5 and 9 = 999 – 9 = 990
Required number = 990 + 2 = 992
Hence, the correct answer is 992.
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