Simplification


  1. The value of is









  1. View Hint View Answer Discuss in Forum


    =
    16
    ×
    9
    ×
    1
    10 +
    15
    31144

    =
    16
    ×
    9
    ×
    1
    40 + 15
    31144

    =
    16
    ×
    9
    ×
    1
    ×
    55
    = 15
    31144

    Correct Option: A


    =
    16
    ×
    9
    ×
    1
    10 +
    15
    31144

    =
    16
    ×
    9
    ×
    1
    40 + 15
    31144

    =
    16
    ×
    9
    ×
    1
    ×
    55
    = 15
    31144


  1. Find the sum of 1 −
    1
    + 1 −
    2
    + 1 −
    3
    + .....1 −
    n
    n + 1n + 1n + 1n + 1









  1. View Hint View Answer Discuss in Forum

    1 −
    1
    + 1 −
    2
    + 1 −
    3
    + .....1 −
    n
    n + 1n + 1n + 1n + 1

    = n −
    1
    +
    2
    +
    3
    + ....+
    n
    n + 1n + 1n + 1n + 1

    = n −
    1 + 2 + 3 +....+ n
    n + 1

    = n −
    n(n + 1)
    = n −
    n
    =
    n
    =
    1
    n
    2(n + 1)222

    Correct Option: B

    1 −
    1
    + 1 −
    2
    + 1 −
    3
    + .....1 −
    n
    n + 1n + 1n + 1n + 1

    = n −
    1
    +
    2
    +
    3
    + ....+
    n
    n + 1n + 1n + 1n + 1

    = n −
    1 + 2 + 3 +....+ n
    n + 1

    = n −
    n(n + 1)
    = n −
    n
    =
    n
    =
    1
    n
    2(n + 1)222



  1. 3
    3
    × 3
    3
    + 2 × 3
    3
    ×
    2
    +
    2
    ×
    2
    = ?
    555555









  1. View Hint View Answer Discuss in Forum

    Let 3
    3
    = a and
    2
    = b, then
    55

    Expression = a2 + 2ab + b2 = (a + b)2
    = 3
    3
    +
    2
    2 = (4)2 = 16
    55

    Correct Option: B

    Let 3
    3
    = a and
    2
    = b, then
    55

    Expression = a2 + 2ab + b2 = (a + b)2
    = 3
    3
    +
    2
    2 = (4)2 = 16
    55


  1. The value of is









  1. View Hint View Answer Discuss in Forum


    =
    7
    9
    ÷
    3
    244

    =
    7
    9
    ×
    4
    243

    =
    7
    − 3 =
    7 − 6
    =
    1
    222

    Correct Option: A


    =
    7
    9
    ÷
    3
    244

    =
    7
    9
    ×
    4
    243

    =
    7
    − 3 =
    7 − 6
    =
    1
    222



  1. 1
    +
    1
    is
    1 + 2a − b1 + 2b − a









  1. View Hint View Answer Discuss in Forum

    1
    +
    1
    1 + 2a − b1 + 2b − a

    =
    1
    +
    1
    1 +
    2a
    1 +
    2b
    2b2a

    =
    2b
    +
    2a
    =
    2b + 2a
    = 1
    2b + 2a2a + 2b2b + 2a

    Correct Option: C

    1
    +
    1
    1 + 2a − b1 + 2b − a

    =
    1
    +
    1
    1 +
    2a
    1 +
    2b
    2b2a

    =
    2b
    +
    2a
    =
    2b + 2a
    = 1
    2b + 2a2a + 2b2b + 2a