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We know that a number is divisible by 3 only when the sum of it's digits is divisible by 3...
So, here the given number is 157X234.
Sum of it's digits=1+5+7+X+2+3+4
=22+X
Hence to make 22+X divisible by 3 we have to add 2 or 5 or 8
Since 2 is in the option,it is the correct answer
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