Number System


  1. 1/10 of a rod is coloured red, 1/20 orange, 1/30 yellow, 1/40 green, 1/50 blue, 1/60 black and the rest is violet. If the length of the violet portion of the rod is 12.08 metres, then the length of the rod is









  1. View Hint View Answer Discuss in Forum

    Let the length of the rod be p metres.
    According to the question,

    p −
    p
    +
    p
    +
    p
    +
    p
    +
    p
    +
    p
    = 12.08
    102030405060

    p1 −
    60 + 30 + 20 + 15 + 12 + 10
    = 12.08
    600

    p1 −
    147
    = 12.08
    600

    p
    600 − 147
    = 12.08
    600

    Correct Option: A

    Let the length of the rod be p metres.
    According to the question,

    p −
    p
    +
    p
    +
    p
    +
    p
    +
    p
    +
    p
    = 12.08
    102030405060

    p1 −
    60 + 30 + 20 + 15 + 12 + 10
    = 12.08
    600

    p1 −
    147
    = 12.08
    600

    p
    600 − 147
    = 12.08
    600

    ⇒ p ×
    453
    = 12.08
    600

    ⇒ p =
    12.08 × 600
    = 16 m.
    453


  1. The number 2.52, when written as a fraction and reduced to lowest terms, the sum of the numerator and denominator is









  1. View Hint View Answer Discuss in Forum

    2.52 = 2 +
    52
    =
    250
    9999

    Correct Option: C

    2.52 = 2 +
    52
    =
    250
    9999

    ∴ Required sum = 250 + 99 = 349



  1. The value of
    1
    +
    1
    +
    1
    +
    1
    +
    1
    is
    15356399143









  1. View Hint View Answer Discuss in Forum

    1
    +
    1
    +
    1
    +
    1
    +
    1
    15356399143

    =
    1
    ×
    1
    +
    1
    +
    1
    +
    1
    3 × 55 × 77 × 99 × 1111 × 13

    =
    1
    1
    1
    +
    1
    1
    +
    1
    1
    +
    1
    1
    +
    1
    1
    23557799111113

    Correct Option: A

    1
    +
    1
    +
    1
    +
    1
    +
    1
    15356399143

    =
    1
    ×
    1
    +
    1
    +
    1
    +
    1
    3 × 55 × 77 × 99 × 1111 × 13

    =
    1
    1
    1
    +
    1
    1
    +
    1
    1
    +
    1
    1
    +
    1
    1
    23557799111113

    =
    1
    1
    1
    =
    1
    13 − 3
    =
    5
    231323939


  1. Find a number, one-seventh of which exceeds its eleventh part by 100.









  1. View Hint View Answer Discuss in Forum

    Let the number be n.

    ∴ 
    n
    n
    = 100
    711

    ⇒ 
    11n − 7n
    = 100
    11 × 7

    ⇒  4n = 77 × 100

    Correct Option: A

    Let the number be n.

    ∴ 
    n
    n
    = 100
    711

    ⇒ 
    11n − 7n
    = 100
    11 × 7

    ⇒  4n = 77 × 100
    ⇒  n =
    77 × 100
    = 1925
    4



  1. 1.27 in the form p/q is equal to









  1. View Hint View Answer Discuss in Forum

    Required answer = 1.27 = 1
    27
    = 1
    3
    9911

    Correct Option: C

    Required answer = 1.27 = 1
    27
    = 1
    3
    =
    14
    991111