If 98215x2 is a number with ′x′ as its tens digit such that it is divisible by 4. Find all possible values of ′x′
A natural number is divisible by 4 if the number formed by its digits in units and tens places is divisible by 4.
∴98215x2 will be divisible by 4 if x2 (number formed by last two digits) is divisible by 4.
x is a digit; therefore possible values of x are 0,1,2,3,4,5,6,7,8,9.
The numbers that are divisible by 4 are 12,32,52,72,92.
Therefore, the values of x are 1,3,5,7,9.