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It is 72.. answer is correct..
there are three pieces of wires.. say A,B,C
and each of A, B and C is cut in 4,6,8 parts.. to have integer length of each sub-piece, the length of A, B, C should be LCM of 4,6,8 i.e. 24..
now as length of A,B and C are equal. total length of wire = 24 * 3 = 72
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