Simplification


  1. 17
    ×
    17
    +
    2
    ×
    2
    17
    ×
    4
    is equal to
    151515151515









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    Expression

    17
    ×
    17
    +
    2
    ×
    2
    − 2 ×
    17
    ×
    2
    151515151515

    =
    17
    2
    2
    1515

    =
    17 − 2
    2 =
    15
    2 = 1
    1515

    Correct Option: B

    Expression

    17
    ×
    17
    +
    2
    ×
    2
    − 2 ×
    17
    ×
    2
    151515151515

    =
    17
    2
    2
    1515

    =
    17 − 2
    2 =
    15
    2 = 1
    1515


  1. (4.53 − 3.07)2
    +
    (3.07 − 2.15)2
    +
    (2.15 − 4.53)2
    is simplified to
    (3.07 − 2.15)(2.15 − 4.53)(2.15 − 4.53)(4.53 − 3.07)(4.53 − 3.07)(4.53 − 2.15)









  1. View Hint View Answer Discuss in Forum

    Let (4.53 – 3.07) = a
    (3.07 – 2.15) = b and
    (2.15 – 4.53) = c ∴  a + b + c = 0
    ∴  Expression

    =
    a2
    +
    b2
    +
    c2
    bcacab

    =
    a3 + b3 + c3
    =
    3abc
    = 3
    abcabc

    [If a + b + c = 0, a3 + b3 + c3 = 3abc]

    Correct Option: D

    Let (4.53 – 3.07) = a
    (3.07 – 2.15) = b and
    (2.15 – 4.53) = c ∴  a + b + c = 0
    ∴  Expression

    =
    a2
    +
    b2
    +
    c2
    bcacab

    =
    a3 + b3 + c3
    =
    3abc
    = 3
    abcabc

    [If a + b + c = 0, a3 + b3 + c3 = 3abc]



  1. The simplification of (0.63 + 0.37 + 0.80 yields the result









  1. View Hint View Answer Discuss in Forum

    Expression
    = 0.63 + 0.37 + 0.80

    =
    63
    +
    37
    +
    80
    999999

    =
    63 + 37 + 80
    =
    180
    9999

    = 1
    81
    = 1.81
    99

    Correct Option: B

    Expression
    = 0.63 + 0.37 + 0.80

    =
    63
    +
    37
    +
    80
    999999

    =
    63 + 37 + 80
    =
    180
    9999

    = 1
    81
    = 1.81
    99


  1. 1
    2
    +
    4
    1
    +
    1
    +
    3
    235354
    1
    +
    2
    4
    +
    1
    1
    4
    233355

    is simplified to









  1. View Hint View Answer Discuss in Forum

    Expression

    =
    − 30 − 40 + 48 − 20 + 12 + 45
    60
    30 + 40 − 80 + 20 − 12 − 48
    60

    =
    105 − 90
    = −
    15
    = −
    3
    90 − 1405010

    Correct Option: B

    Expression

    =
    − 30 − 40 + 48 − 20 + 12 + 45
    60
    30 + 40 − 80 + 20 − 12 − 48
    60

    =
    105 − 90
    = −
    15
    = −
    3
    90 − 1405010












  1. View Hint View Answer Discuss in Forum


    =
    5
    ×
    2
    43
    5
    30

    =
    5
    ×
    30
    = 5
    65

    Correct Option: D


    =
    5
    ×
    2
    43
    5
    30

    =
    5
    ×
    30
    = 5
    65