Simplification


  1. The number of pairs of natural numbers, the difference of whose squares is 45 will be









  1. View Hint View Answer Discuss in Forum

    Let the numbers be x and y where x > y
    ∴  x2 − y2 = 45
    ⇒  (x + y)(x – y) = 45
    Now, 45 = 5 × 9
    = 15 × 3 = 45 × 1
    ∴  Number of pairs = 3

    Correct Option: B

    Let the numbers be x and y where x > y
    ∴  x2 − y2 = 45
    ⇒  (x + y)(x – y) = 45
    Now, 45 = 5 × 9
    = 15 × 3 = 45 × 1
    ∴  Number of pairs = 3


  1. The value of   √19.36 + √0.1936 + √0.001936 + √0.00001936   is :









  1. View Hint View Answer Discuss in Forum

    19.36 + √0.1936 + √0.001936 + √0.00001936
    = 4.4 + 0.44 + 0.044 + 0.0044
    = 4.8884

    Correct Option: C

    19.36 + √0.1936 + √0.001936 + √0.00001936
    = 4.4 + 0.44 + 0.044 + 0.0044
    = 4.8884



  1. The value of  
    0.064 × 0.256 × 15.625
      is
    0.25 × 0.625 × 4.096









  1. View Hint View Answer Discuss in Forum

    Expression

    =  
    0.064 × 0.256 × 15.625
    0.025 × 0.625 × 4.096

    =  
    64 × 256 × 15625
    25 × 625 × 4096

    =  
    8 × 16 × 25
    = 2
    5 × 25 × 64

    Correct Option: A

    Expression

    =  
    0.064 × 0.256 × 15.625
    0.025 × 0.625 × 4.096

    =  
    64 × 256 × 15625
    25 × 625 × 4096

    =  
    8 × 16 × 25
    = 2
    5 × 25 × 64


  1. If (1101)2 = 1212201, find the value of √121.220l .









  1. View Hint View Answer Discuss in Forum

    (1101)2 = 1212201
    ⇒  1101 = √1212201
    121.2201

    ⇒ 
    121.2201
    =
    1101
    = 11.01
    10000100

    Correct Option: B

    (1101)2 = 1212201
    ⇒  1101 = √1212201
    121.2201

    ⇒ 
    121.2201
    =
    1101
    = 11.01
    10000100



  1. The square root of   21
    51
      is
    169









  1. View Hint View Answer Discuss in Forum

    = 21
    51
    =
    21 × 169 + 51
    =
    3600
    169169169

    ∴ 21
    51
    =
    3600
    =
    60
    16916913

    = 4
    8
    13

    Correct Option: B

    = 21
    51
    =
    21 × 169 + 51
    =
    3600
    169169169

    ∴ 21
    51
    =
    3600
    =
    60
    16916913

    = 4
    8
    13