If 36x2 is divisible by 4, where x is a digit, find the values of x.

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Solution

We know that for a number to be divisible by 4, the required and sufficient condition is that, the number consisting of the last 2 digits of the number be divisible by 4.

In this case, the last number formed by last two digits is: x2

So the possible values that 'x' can take is such that x2 is divisible by 4.

We know that the only such numbers are 12,32,52,72,92.

So the values that x can take are:1,3,5,7,9

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