Simplification

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Aptitude miscellaneous
  1. (3.63)2 −(2.37)2
    		   is simplified to
    3.63 + 2.37








  1. View Hint View Answer Discuss in Forum

    Let 3.63 = a and 2.37 = b

    ∴  Expression =
    a2 − b2
    a + b

    =
    (a − b)(a + b)
    a + b

    = a – b = 3.63 – 2.37 = 1.26

    Correct Option: D

    Let 3.63 = a and 2.37 = b

    ∴  Expression =
    a2 − b2
    a + b

    =
    (a − b)(a + b)
    a + b

    = a – b = 3.63 – 2.37 = 1.26

  1. The value of  
    (75.8)2 −(55.8)2
    		   is :
    20








  1. View Hint View Answer Discuss in Forum

    (75.8)2 −(55.8)2
    20

    (75.8 − 55.8)(75.8 + 55.8)
    20

    =
    20 × 131.6
    		 = 131.6
    20

    Second Method :
    (75.8)2 −(55.8)2
    (75.8 − 55.8)

    = 75.8 + 55.8 = 131.6

    Correct Option: D

    (75.8)2 −(55.8)2
    20

    (75.8 − 55.8)(75.8 + 55.8)
    20

    =
    20 × 131.6
    		 = 131.6
    20

    Second Method :
    (75.8)2 −(55.8)2
    (75.8 − 55.8)

    = 75.8 + 55.8 = 131.6

  1. The value of is








  1. View Hint View Answer Discuss in Forum


    = √9 = 3

    Correct Option: A


    = √9 = 3

  1. The value of  
    0.051 × 0.051 × 0.051 + 0.041 × 0.041 × 0.041
    		   is :
    0.051 × 0.051 − 0.051 × 0.041 + 0.041 × 0.041








  1. View Hint View Answer Discuss in Forum

    Let 0.051 = x and 0.041 = y

    ∴  The given expression =
    x3 + y3
    x2 − xy + y2

    =
    (x + y)(x2 − xy + y2)
    x2 − xy + y2

    = x + y = 0.051 + 0.041
    = 0.092

    Correct Option: B

    Let 0.051 = x and 0.041 = y

    ∴  The given expression =
    x3 + y3
    x2 − xy + y2

    =
    (x + y)(x2 − xy + y2)
    x2 − xy + y2

    = x + y = 0.051 + 0.041
    = 0.092

  1. Simplify √[(12.1)2 − (8.1)2] ÷ [(0.25)2 + (0.25)(19.95)]








  1. View Hint View Answer Discuss in Forum

    = √
    20.2 × 4
    		 = √
    4
    0.25 × 20.20.25

    = √
    400
    		 = √16 = 4
    25

    Correct Option: D

    = √
    20.2 × 4
    		 = √
    4
    0.25 × 20.20.25

    = √
    400
    		 = √16 = 4
    25