The greatest number of four digits which when divided by

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The greatest number of four digits which when divided by 3, 5, 7, 9 leave remainders 1, 3, 5, 7 respectively is :

1. 9763
2. 9764
3. 9766
4. 9765

Correct Option: A

The difference between divisor and the corresponding remainder is equal.
LCM of 3, 5, 7 and 9 = 315
Largest 4-digit number = 9999

∴ Number divisible by 315 = 9999 – 234 = 9765
Required number = 9765 – 2 = 9763