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    Question

    ((1024)n/5  ×

    (42n+1 ))/(16n  × 4n-1  ) = ? What value should come in place of the question-mark (?) in the following questions:
    A 4 Correct Answer Incorrect Answer
    B 16 Correct Answer Incorrect Answer
    C 24 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer
    E 8 Correct Answer Incorrect Answer

    Solution

    (〖(1024)〗^(n/(5 ))   × 4^(2n+1))/(〖16〗^(n )  × 4^(n- 1)  )  ⇒ (〖(4⁵)〗^(n/5)  × 4^(2n+1))/(4^2n   × 〖4 〗^(n-1) ) ⇒ (4^(n+2n+1)  )/(4^(2n+n- 1)  ) ⇒ (4^(3n+1)  )/(4^(3n- 1)  ) ⇒ 4^(3n+1-3n+1) ⇒ 4² = 16

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