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36 = 9*4 Since 9 and 4 are co-prime to each other, we can say that for a number to be divisible by 36 it must be divisible by both 9 and 4.
For G236G0, to be divisible by 4, last two digits should be divisible by 4.
Hence G0 should be a multiple of 4.
Possible values of G are 2, 4, 6, 8, 0
For the number to be divisible by 9, the sum of the digits should be a multiple of 9
G+2+3+6+G+0 = 11+2G should be multiple of 9
If G = 0, 11+2G is not a multiple of 9
If G = 2, 11+2G is not a multiple of 9
If G = 4, 11+2G is not a multiple of 9
If G = 6, 11+2G is not a multiple of 9
If G = 8, 11+2G is a multiple of 9.
Hence 8 is the correct answer.
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