24 = $$2^3\times3^1$$ $$\Rightarrow$$ Number of factors = 4 x 2 = 8
42 = $$2^1\times3^1\times7^1$$ $$\Rightarrow$$ Number of factors = 2 x 2 x 2 = 8
54 = $$2^1\times3^3$$ $$\Rightarrow$$ Number of factors = 2 x 4 = 8
62 = $$2^1\times31^1$$ $$\Rightarrow$$ Number of factors = 2 x 2 = 4
78 = $$2^1\times3^1\times13^1$$ $$\Rightarrow$$ Number of factors = 2 x 2 x 2 = 8
Number of factors of all numbers except 62 is 8.
$$\therefore\ $$62 is the odd one among the given numbers.
Hence, the correct answer is Option C
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