Aptitude miscellaneous


  1. If log 2 = 0.3010, then log 5 equals :
    1. 0.3010
    2. 0.6990
    3. 0.7525
    4. Given log 2, it is not possible to calculate log 5

  1. View Hint View Answer Discuss in Forum

    We can write as ,

    Log 5 = log
    10
    2

    Using given formula , log
    a
    = log a - log b
    b

    Correct Option: B

    We can write as ,

    Log 5 = log
    10
    2

    Using given formula , log
    a
    = log a - log b
    b

    Log 5 = log 10 – log 2
    Log 5 = 1 – 0.3010 = 0.6990


  1. The simplified form oflog
    75
    - 2log
    5
    + log
    32
    is :
    169243

    1. log 2
    2. 2log 2
    3. log 3
    4. log 5

  1. View Hint View Answer Discuss in Forum

    Given that , Log
    75
    - 2 Log
    5
    + Log
    32
    169243

    = Log
    5² × 3
    - 2 Log
    5
    + Log
    25
    243235

    Correct Option: A

    Given that , Log
    75
    - 2 Log
    5
    + Log
    32
    169243

    = Log
    5² × 3
    - 2 Log
    5
    + Log
    25
    243235

    Using given formula , log
    a
    = log a - log b and log ( ab ) = log a + log b
    b

    Required answer = 2Log 5 + Log 3 – 4Log 2 – 2Log 5 + 4Log 3 + 5Log 2 – 5Log 3 = Log 2