The correct option is (c).
A number is divisible by 6 if it is divisible by both 2 and 3.
Since the ones digit of 87432 is 2, it is divisible by 2.
Now, 8 + 7 + 4 + 3 + 2 = 24
24 is divisible by 3.
Hence, 87432 is divisible by 6 because it is divisible by both 2 and 3.
Option (a) is not correct because 67821 is not divisible by 2.
Option (b) is not correct because 78134 is not divisible by 3.
7 + 8 + 1 + 3 + 4 = 23
23 is not divisible by 3.