Multiple Choice Questions on If 2n 1 2n 1 320 then n is equal to ........ for Punjab Patwari Exam Preparation

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Multiple Choice Questions

If 2n 1 2n 1 320 then n is equal to ........

Quantitative Aptitude (Pb Patwari) Algebra
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    If 2n-1 + 2n+1 = 320, then n is equal to:

    6

    Incorrect Answer

    8

    Incorrect Answer

    5

    Incorrect Answer

    7

    Correct Answer
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    Explanation:

    Given equation :
    2n−1 + 2n+1 = 320 
    ⇔  2n−1(1+22) = 320
    ⇔ 5 x 2n−1= 320
    ⇔ 2n−1 = 320 / 5
     = 64 = 26  
    From the eqution power :
    ⇔ n−1 = 6 ⇔ n = 7.

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