Logarithm


  1. The mantissa of log 3274 is 0.5150, then the value of log 32.74 is ?









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    Since, 0.3274 gives characteristic 1. Therefore value of log (0.3274) = 1.5150

    Correct Option: A

    Since, 0.3274 gives characteristic 1. Therefore value of log (0.3274) = 1.5150


  1. If log a, log b, log c are in A.P. then ?









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    ∵ loga, logb, logc are in A.P. Then,
    ⇒ logb - loga = logc - logb

    Correct Option: A

    ∵ loga, logb, logc are in A.P. Then,
    ⇒ logb - loga = logc - logb
    ⇒ log b/a = log c/b
    ⇒ b/a = c/b
    ⇒ b2 = ac
    ∴ a, b, c are in G.P.



  1. If log5 (x2 + x) - log5 x = 2 then the value of x is ?









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    ∵ log5(x2 + x / x) = 2
    ⇒ log10(x + 1) = 2

    Correct Option: A

    ∵ log5[(x2 + x ) / x] = 2
    ⇒ log10(x + 1) = 2
    ⇒ x + 1 = 25
    ∴ x = 24


  1. The compound interest on Rs. 12,000 for 10 years at the rate of 12% per annum compounded annually is ?









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    ∵ A = 12,000(1 + 12/100)10
    = 12000(28/25)10
    ⇒ log A = log 12000 + 10[log 28 - log 25]
    ⇒ log A = 4.0792 + 10(1.4472 - 1.3979)
    = 4.0792 + 0.493

    Correct Option: A

    ∵ A = 12,000(1 + 12/100)10
    = 12000(28/25)10
    ⇒ log A = log 12000 + 10[log 28 - log 25]
    ⇒ log A = 4.0792 + 10(1.4472 - 1.3979)
    = 4.0792 + 0.493
    = 4.5722
    ∴ A = antilog 4.5722 = 37342
    C.I. = 37342 - 12000 = 25342
    =25350



  1. (log tan1°. log tan2° ............. log tan50°) is ?









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    ∵ log tan 45 = log 1 = 0

    Correct Option: A

    ∵ log tan 45 = log 1 = 0
    Hence, Whole Expression = (something) x zero