In the number 1635_ , fill in the blank with a suitable number so that new number so obtained becomes divisible by 3.

The first choice is 2. The number so obtained is 16352. Now, the sum of the digits = 1 + 6 + 3 + 5 + 2 = 17 As 17 is not divisible by 3, so the number so formed will not be divisible by 3. The second choice is 4. The number so obtained is 16354. Now, the sum of the digits = 1+ 6 + 3 + 5 + 4 = 19 As 19 is not divisible by 3, so the number so formed will not be divisible by 3. The third choice is 0. The number so obtained is 16350. Sum of digits = 1 + 6 + 3 + 5 + 0 = 15. Now 15 is divisible by 3, therefore the number will also be divisible by 3. The fourth choice is 5. The number so obtained is 16355. Now, the sum of the digits = 1 + 6 + 3 + 5 + 5 = 20 As 20 is not divisible by 3, so the number so formed will not be divisible by 3.