Number System


  1. Find the maximum number of tree which can plant 20 m apart on the two side of straight road 1760 m long









  1. View Hint View Answer Discuss in Forum

    Number of trees that can be planted on one side of road = (1760 / 20) + 1

    Correct Option: D

    Number of trees that can be planted on one side of road = (1760 / 20) + 1
    = 88 + 1
    =89

    ∴ Trees on the both side = 2 x 89=178


  1. The least number among
    4
    ,
    9
    , 0.45 and (0.8)2 is
    949









  1. View Hint View Answer Discuss in Forum

    Decimal equivalents :

    4
    = 0.4;
    9
    =
    3
    = 0.43
    9497

    0.45, (0.8)2 = 0.64

    Correct Option: B

    Decimal equivalents :

    4
    = 0.4;
    9
    =
    3
    = 0.43
    9497

    0.45, (0.8)2 = 0.64
    ∴   Least number = 0.43
    =
    9
    49



  1. The smallest number of five digits exactly divisible by 476 is









  1. View Hint View Answer Discuss in Forum

    The smallest number of 5 digits = 10000
    Now,

    Correct Option: D

    The smallest number of 5 digits = 10000
    Now,

    ∴ Required number = 10000 + (476 – 4)
    = 10000 + 472 = 10472


  1. The difference between two number is 18 if four times the second number is less then three what is the sum these two number?









  1. View Hint View Answer Discuss in Forum

    Let first number = P
    And second number = Q
    According to the question
    P - Q = 10 ....(i)
    And 3P - 4Q = 18...(ii)

    on multiply eq (i) by 3 and then subtract eq (ii) from it
    3P - 3Q = 54
    3P - 4Q = 18
    Q = 36

    On putting the value of Q in the eq (i)
    P = 18 + Q = 18 +36
    ⇒ P = 54

    Correct Option: D

    Let first number = P
    And second number = Q
    According to the question
    P - Q = 10 ....(i)
    And 3P - 4Q = 18...(ii)

    on multiply eq (i) by 3 and then subtract eq (ii) from it
    3P - 3Q = 54
    3P - 4Q = 18
    Q = 36

    On putting the value of Q in the eq (i)
    P = 18 + Q = 18 +36
    ⇒ P = 54
    Required sum = P + Q = 54 +36 =90



  1. The largest among the numbers
    (0.1)2, √0.0121, 0.12 and √0.0004 is









  1. View Hint View Answer Discuss in Forum

    (0.1)2 = 0.01
    0.0121 = √0.11 × 0.11 = 0.11
    0.0004 = 0.02

    Correct Option: C

    (0.1)2 = 0.01
    0.0121 = √0.11 × 0.11 = 0.11
    0.0004 = 0.02
    After arranging the given numbers in increasing order, we will get
    ⇒0.01 < 0.02 < 0.11 < 0.12
    So clearly 0.12 is the biggest fraction in the given question.