Answer: Option A
:
A
A number is divisible by 3 if the sum of its digits is divisible by 3.
In 5763 sum of the digits is = $5+7+6+3=21$, which is exactly divisible by 3.
So, 5763 is divisible by 3.
A number is divisible by 4if itslast two digits aredivisible by 4. The last two digits in 5763 are 63 which is not divisible by 4.
Hence 5763 is not divisible by 4
5763 is not divisible by6, as it is an odd number. To be divisible by 6, the number should be divisible by both 3 and 2. Only even numbers are divisible by 2.
A number is divisible by 9 if the sum of its digits is divisible by 9.
In 5763 sum of the digits is = $5+7+6+3=21$, which is not divisible by 9.
So, 5763 is not divisible by 9.
Hence 5763 is divisible by 3.