Number System


  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 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.



  1. When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A ?









  1. View Hint View Answer Discuss in Forum

    5  A  7
      

    3  3  5
    8  B  2

    A → 0, 1, 2, 3, 4, 5
    & B → 4, 5, 6, 7, 8, 9

    Correct Option: D

    5  A  7
      

    3  3  5
    8  B  2

    A → 0, 1, 2, 3, 4, 5
    and B → 4, 5, 6, 7, 8, 9
    8B2 is exactly divisible by 3.
    ∴ 8 + B + 2 = 10 + B = multiple of 3
    B = 5 or 8
    A = 1 or 4


  1. If a number is as much greater than 31 as it is less than 75, then the number is









  1. View Hint View Answer Discuss in Forum

    Let us assume that number is P.
    Then according to question, Number is as much greater than 31 as it is less than 75,
    P – 31 = 75 – P

    Correct Option: D

    Let us assume that number is P.
    Then according to question, Number is as much greater than 31 as it is less than 75,
    P – 31 = 75 – P
    ⇒ 2P = 75 + 31 = 106
    ⇒ P = 53



  1. The greatest number among
    0.7 + √0.16,  1.02 −
    0.6
    , 1.2 × 0.83 and √1.44  is :
    24









  1. View Hint View Answer Discuss in Forum

    Solve the given equation one by one.
    0.7 + √0.16 = 0.7 + 0.4 = 1.1

    Correct Option: B

    Solve the given equation one by one.
    First equation; 0.7 + √0.16 = 0.7 + 0.4 = 1.1

    Second equation; 1.02 −
    0.6
    24

    = 1.02 – 0.025
    = 0.995
    Third equation; 1.2 × 0.83 = 0.996
    Fourth equation; √1.44 = 1.2
    Hence, the greatest number
    = √1.44