Simplification











  1. View Hint View Answer Discuss in Forum


    = 3 +
    1
    3 +
    3
    10

    = 3 +
    3
    30 + 3
    10

    = 3 +
    30
    = 3 +
    10
    =
    33 + 10
    =
    43
    33111111

    Correct Option: B


    = 3 +
    1
    3 +
    3
    10

    = 3 +
    3
    30 + 3
    10

    = 3 +
    30
    = 3 +
    10
    =
    33 + 10
    =
    43
    33111111


  1. When simplified, the expression
    = (100)1/2 × (0.001)1/3 − (0.0016)1/4 × 30 +
    5
    −1
    4
    is equal to:









  1. View Hint View Answer Discuss in Forum

    = (100)1/2 × (0.001)1/3 − (0.0016)1/4 × 30 +
    5
    −1
    4

    = 10 × 0.1 – 0.2 × 1 +
    4
    5

    = 1 – 0.2 + 0.8 = 1.6

    Correct Option: A

    = (100)1/2 × (0.001)1/3 − (0.0016)1/4 × 30 +
    5
    −1
    4

    = 10 × 0.1 – 0.2 × 1 +
    4
    5

    = 1 – 0.2 + 0.8 = 1.6




  1. is equal to









  1. View Hint View Answer Discuss in Forum

    First part =
    30
    1
    72
    7
    +
    8
    27

    =
    60 − 7
    14
    49 + 16
    14

    =
    53
    ×
    14
    =
    53
    146565


    =
    1
    2 +
    24
    53

    =
    1
    106 + 24
    53

    =
    53
    130

    ∴  Expression
    =
    53
    ÷
    53
    =
    53
    ×
    130
    = 2
    651306553

    Correct Option: C

    First part =
    30
    1
    72
    7
    +
    8
    27

    =
    60 − 7
    14
    49 + 16
    14

    =
    53
    ×
    14
    =
    53
    146565


    =
    1
    2 +
    24
    53

    =
    1
    106 + 24
    53

    =
    53
    130

    ∴  Expression
    =
    53
    ÷
    53
    =
    53
    ×
    130
    = 2
    651306553



  1. part of a journey takes 10 minutes, then to complete (3/5)th of that journey, it will take









  1. View Hint View Answer Discuss in Forum


    = 40 −
    5
    40
    31

    = 40 −
    5 × 31
    40

    = 4 −
    31
    =
    32 − 31
    =
    1
    888

    ∵  Time taken in completing
    1
    part = 10 minutes
    8

    ∴  Time taken in completing
    3
    part
    5

    = = 10 × 8 ×
    3
    = 48 minutes
    5

    Correct Option: C


    = 40 −
    5
    40
    31

    = 40 −
    5 × 31
    40

    = 4 −
    31
    =
    32 − 31
    =
    1
    888

    ∵  Time taken in completing
    1
    part = 10 minutes
    8

    ∴  Time taken in completing
    3
    part
    5

    = = 10 × 8 ×
    3
    = 48 minutes
    5




  1. is equal to









  1. View Hint View Answer Discuss in Forum

    4
    1
    − 2
    1
    74
    3
    1
    + 1
    1
    27

    =
    29
    9
    74
    7
    +
    8
    27

    =
    116 − 63
    28
    49 + 16
    14

    =
    53
    ×
    14
    =
    53
    2865130

    Again,

    =
    5
    106 + 24
    53

    =
    53
    130

    ∴  Expression =
    53
    ÷
    53
    = 1
    130130

    Correct Option: A

    4
    1
    − 2
    1
    74
    3
    1
    + 1
    1
    27

    =
    29
    9
    74
    7
    +
    8
    27

    =
    116 − 63
    28
    49 + 16
    14

    =
    53
    ×
    14
    =
    53
    2865130

    Again,

    =
    5
    106 + 24
    53

    =
    53
    130

    ∴  Expression =
    53
    ÷
    53
    = 1
    130130