Number System


  1. Which of the following is correct ?









  1. View Hint View Answer Discuss in Forum

    On making denominators equal,

    3
    =
    3 × 3
    =
    9
    55 × 315

    2
    =
    2 × 5
    =
    10
    33 × 515

    5
    =
    11
    1215

    Correct Option: B

    On making denominators equal,

    3
    =
    3 × 3
    =
    9
    55 × 315

    2
    =
    2 × 5
    =
    10
    33 × 515

    5
    =
    11
    1215

    ∴  
    9
    <
    10
    <
    11
    151515

    ⇒  
    3
    <
    2
    <
    11
    5315


  1. Which of the following fraction is the smallest ?
    9
    ,
    17
    ,
    28
    ,
    33
    13262952









  1. View Hint View Answer Discuss in Forum

    Multiply with 4 in Numerator and Denominator. We will get

    9
    =
    9 × 4
    =
    36
    1313 × 452

    Correct Option: A

    Multiply with 4 in Numerator and Denominator. We will get

    9
    =
    9 × 4
    =
    36
    1313 × 452

    17
    =
    17 × 2
    =
    34
    2626 × 252

    33
    =
    33
    5252

    Among these
    33
    is the smallest
    52

    Again,
    28
    =
    56
    >
    33
    295852



  1. Which of the following is the smallest fraction ?
    8
    ,
    7
    ,
    11
    ,
    14
    25232353









  1. View Hint View Answer Discuss in Forum

    8
    = 0.32,  
    7
    = 0.30
    2523

    11
    = 0.47,  
    14
    = 0.26
    2353

    Correct Option: D

    8
    = 0.32,  
    7
    = 0.30
    2523

    11
    = 0.47,  
    14
    = 0.26
    2353

    14
    is the smallest fraction.
    53


  1. Which of the following fraction is the smallest?
    8
    ,
    14
    ,
    11
    ,
    14
    15332353









  1. View Hint View Answer Discuss in Forum

    8
    ,
    14
    ,
    7
    ,
    11
    15331313

    8
    = 0.533
    15

    14
    = 0.42
    33

    7
    = 0.538
    13

    11
    = 0.846
    13

    Correct Option: D

    8
    ,
    14
    ,
    7
    ,
    11
    15331313

    8
    = 0.533
    15

    14
    = 0.42
    33

    7
    = 0.538
    13

    11
    = 0.846
    13

    11
    >
    7
    >
    8
    >
    14
    13131533



  1. The least number to be added to 13851 to get a number which is divisible by 87 is :









  1. View Hint View Answer Discuss in Forum


    ∴  Required number = 87 – 18 = 69

    Correct Option: D


    ∴  Required number = 87 – 18 = 69