Simplification

Simplification

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Simplification
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Aptitude miscellaneous
  1. If   3√3n = 27,   then the value of n is :








  1. View Hint View Answer Discuss in Forum

      3√3n = 27
    ⇒  (3)n/3 = 33

    ⇒ 
    n
    		 = 3 ⇒ n = 3 × 3 = 9
    3

    Correct Option: A

      3√3n = 27
    ⇒  (3)n/3 = 33

    ⇒ 
    n
    		 = 3 ⇒ n = 3 × 3 = 9
    3

  1. 3√ 1 −
    127
    		  is equal to
    343








  1. View Hint View Answer Discuss in Forum

    = 3√ 1 −
    127
    		 = 3√
    343 − 127
    343343

    = 3√
    216
    		 = 3√
    (6)3
    343(7)3

    =
    6
    		 = 1 −
    1
    77

    Correct Option: B

    = 3√ 1 −
    127
    		 = 3√
    343 − 127
    343343

    = 3√
    216
    		 = 3√
    (6)3
    343(7)3

    =
    6
    		 = 1 −
    1
    77

  1. (3√1000 + 3√0.008 − 3√0.125) is equal to








  1. View Hint View Answer Discuss in Forum

    3√1000 + 3√0.008 − 3√0.125
    = 10 + 0.2 – 0.5 = 9.7

    Correct Option: A

    3√1000 + 3√0.008 − 3√0.125
    = 10 + 0.2 – 0.5 = 9.7

  1. The sum of the squares of 2 numbers is 146 and the square root of one of them is √5.The cube of the other number is








  1. View Hint View Answer Discuss in Forum

    First number = (√5)2 = 5
    Let the second number be x.
    ∴  x2 + 52 = 146
    ⇒  x2 = 146 –25 = 121
    ⇒  x = √121 = 11
    ∴  Cube of 11 =1331

    Correct Option: C

    First number = (√5)2 = 5
    Let the second number be x.
    ∴  x2 + 52 = 146
    ⇒  x2 = 146 –25 = 121
    ⇒  x = √121 = 11
    ∴  Cube of 11 =1331

  1. 3√0.000125 is equal to








  1. View Hint View Answer Discuss in Forum

    = 3√0.000125 = 3√0.05 × 0.05 × 0.05
    = 0.05

    Correct Option: C

    = 3√0.000125 = 3√0.05 × 0.05 × 0.05
    = 0.05