If 3 digit numbers `A28, 3B9 and 62C` are divisible by a fixed constant 'K' where A, B, C are integers lying between 0 and 9, then determinant `|(A,3,6),(8,9,C),(2,B,2)|` is always divisible by

If 3 digit numbers A28,3B9 and 62C are divisible by a fixed constant 'K' where A,B,C are integers lying between 0 and 9, then determinant det[[8,9,C8,9,C2,B,2]] is always divisible by

Suppose that digit numbers A28,3B9 and 62 C, where A,B and C are integers between 0 and 9 are divisible by a fixed integer k, prove that the determinant |{:(A,3,6),(8,9,C),(2,B,2):}| is also divisible by k.

The digits A,B,C are such that the three digit numbers A88, 6B8, 86 C are divisible by 72 the determinant |{:(A,6,8),(8,B,6),(8,8,C):}| is divisible by

The digits A,B,C are such that the three dioit numbers A88,6B8,86C are divisible by 72, then the determinant det[[8,6,88,B,68,8,C]] is divisible by

The largest 3- digit number divisible by 9 is _______

Number of 9digits numbers divisible by nine using the digits from 0 to 9 if each digit once is K.8! then K has the value equal to-

Number of integers greater than 7000 and divisible by 5 that can be formed using only the digits 3, 6, 7, 8 and 9, no digit being repeated, is