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Question

If 98215x2 is a number with x as its tens digit such that it is divisible by 4. Find all possible values of x

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Solution

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.

x2=10x+2

x is a digit; therefore possible values of x are 0,1,2,3,4,5,6,7,8,9.

x2=2,12,22,32,42,52,62,72,82,92

The numbers that are divisible by 4 are 12,32,52,72,92.

Therefore, the values of x are 1,3,5,7,9.


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