Fractions


  1. If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 1826/27. find the fraction ?









  1. View Hint View Answer Discuss in Forum

    If the required fraction be N.
    Then, (N x N) / (1/N) = 1826/27

    Correct Option: C

    If the required fraction be N.
    Then, (N x N) / (1/N) = 1826/27
    ⇒ N3 = 512 / 27
    ∴ N = 8/3 = 22/3


  1. A lamppost is divided into three parts, the first part is (1/3)rd of the whole length, second (3/8)th of the first and the third is 6 m 50 cm. The length of the lamppost is ?









  1. View Hint View Answer Discuss in Forum

    Let the length of lamppost = L m
    Then,first part = L/3
    and second part = (3/8) x L/3 = L/8
    and third part = 6 m 50 cm = 6.50 m
    First part + second part + Third part = length of lamppost

    Correct Option: C

    Let the length of lamppost = L m
    Then,first part = L/3
    and second part = (3/8) x L/3 = L/8
    and third part = 6 m 50 cm = 6.50 m
    First part + second part + Third part = length of lamppost
    ⇒ L/3 + L/8 + 6.5 = L
    ⇒ L - L/3 - L/8 =6.5
    ⇒ (24L - 8L - 3L)/24 = 6.5
    ⇒ 13L/24 = 6.5
    ∴ L = (65.x 24)/13 = 12 m



  1. Find the value of 27 x 1.2 x 5.5262 x 0.6 .









  1. View Hint View Answer Discuss in Forum

    27 x 1.2 x 5.5262 x 0.6
    = 27 x [(12 - 1) / 9] x [(55262 - 5526)/9000] x (6/9)
    = (27 x 11)/9 x (49736/9000) x (6/9)

    Correct Option: D

    27 x 1.2 x 5.5262 x 0.6
    = 27 x [(12 - 1) / 9] x [(55262 - 5526)/9000] x (6/9)
    = (27 x 11)/9 x (49736/9000) x (6/9)
    = 1094192 / 9000
    = 121.576888...
    = 121.5768


  1. How many pieces of 13.2 cm can be cut from a 330 cm long rod ?











  1. View Hint View Answer Discuss in Forum

    Total length of the rod = 330 cm
    Length of a piece = 13.2 cm.
    Required number of pieces = Total length/Length of a piece ;

    Correct Option: A

    Total length of the rod = 330 cm
    Length of a piece = 13.2 cm.
    Required number of pieces = Total length/Length of a piece ;
    Required number of pieces = 330/13.2 = 25