If the eight-digit number 51880p69 is divisible by 3, then the maximum value of p is:

Correct option is B

Given:

Eight-digit number: 51880p69

We need the maximum value of p such that the number is divisible by 3

Concept Used:

A number is divisible by 3 if the sum of its digits is divisible by 3.

Solution:

Digits: 5, 1, 8, 8, 0, p, 6, 9

Sum (without p): 5 + 1 + 8 + 8 + 0 + 6 + 9 = 37

We want 37 + p divisible by 3

Trying values of p from 9 to 0:

p = 9:  37 + 9 = 46, not divisible by 3

p = 8: 37 + 8 = 45, divisible by 3

So,  maximum valid p = 8