Number System


  1. ‘a’ divides 228 leaving a remainder 18. The biggest two– digit value of ‘a’ is









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    228 = 70 × 3 + 18

    Correct Option: A

    228 = 70 × 3 + 18


  1. 999
    1
    + 999
    2
    + 999
    3
    + 999
    4
    + 999
    5
    + 999
    6
    777777

    is simplified to :









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    Expression

    = 999
    1
    + 999
    2
    + .....+ 999
    6
    777

    = 999 +
    1
    + 999 +
    2
    + .....+ 999 +
    6
    777

    = (6 × 999) +
    1
    +
    2
    +
    3
    + .....+
    6
    7777

    = 5994 +
    1 + 2 + 3 + 4 + 5 + 6
    7

    = 5994 +
    21
    = 5994 + 3= 5997
    7

    Correct Option: A

    Expression

    = 999
    1
    + 999
    2
    + .....+ 999
    6
    777

    = 999 +
    1
    + 999 +
    2
    + .....+ 999 +
    6
    777

    = (6 × 999) +
    1
    +
    2
    +
    3
    + .....+
    6
    7777

    = 5994 +
    1 + 2 + 3 + 4 + 5 + 6
    7

    = 5994 +
    21
    = 5994 + 3= 5997
    7



  1. In a factory one out of every 9 is a female worker. If the number of female workers is 125, the total number of workers is









  1. View Hint View Answer Discuss in Forum

    Total number of workers
    = 125 × 9 = 1125

    Correct Option: B

    Total number of workers
    = 125 × 9 = 1125


  1. 999
    999
    × 7
    1000

    is equal to:









  1. View Hint View Answer Discuss in Forum

    999
    999
    × 7
    1000

    = 999 +
    999
    × 7
    1000

    = 6993 +
    6993
    1000

    = 6993 + 6
    993
    1000

    = 6993 + 6 +
    993
    1000

    = 6999
    993
    1000

    Correct Option: D

    999
    999
    × 7
    1000

    = 999 +
    999
    × 7
    1000

    = 6993 +
    6993
    1000

    = 6993 + 6
    993
    1000

    = 6993 + 6 +
    993
    1000

    = 6999
    993
    1000



  1. If sum of two numbers be a and their product be b, then the sum of their reciprocals is









  1. View Hint View Answer Discuss in Forum

    If the numbers be x and y, then
    x + y = a and xy = b

    ∴ 
    1
    +
    1
    =
    x + y
    =
    a
    yxxyb

    Correct Option: C

    If the numbers be x and y, then
    x + y = a and xy = b

    ∴ 
    1
    +
    1
    =
    x + y
    =
    a
    yxxyb