A    1

B    2

C    9

D    3n

Solution

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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