Correct Answer: Option C
Given Expression =((243)(n/5) x 32n + 1)/ (9n x 3n – 1)
=((35)(n/5) x 32n + 1)/((32)n x 3n – 1)
=(35 x (n/5) x 32n + 1) / (32n x 3n - 1)
= (3n x 32n + 1) / (32n x 3n – 1)
= 3(n + 2n + 1) /3(2n + n - 1)
= 33n + 1/ 33n - 1
= 3(3n + 1 - 3n + 1) = 32 = 9.
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