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. 8/27
    2. 11/3
    3. 22/3
    4. 32/3
    5. None of the above

  1. View Hint View Answer Discuss in Forum

    If the required fraction be P
    According to the question
    (P x P) / (1/P) = 1826/27

    Correct Option: C

    If the required fraction be P
    According to the question
    (P x P) / (1/P) = 1826/27
    ⇒ P3 = 512/27
    ∴ P = 8/3 = 22/3


  1. 1/4th of number of boys and 3/8th of number of girls participated in annual sports of the school. What fractional part of total number of students participated ?
    1. 32%
    2. 20%
    3. 36%
    4. data inadequate
    5. None of the above

  1. View Hint View Answer Discuss in Forum

    Let number of boys in school are B and Girls are G.
    Total number of students participated
    = (B x 1/4 + G x 3/8)
    = (B/4 + 3G/8)
    ∴ Required percentage
    = ((B/4 + 3G/8)/(B + G) x 100%)

    Correct Option: D

    Let number of boys in school are B and Girls are G.
    Total number of students participated
    = (B x 1/4 + G x 3/8)
    = (B/4 + 3G/8)
    ∴ Required percentage
    = ((B/4 + 3G/8)/(B + G) x 100%)

    Clearly, given data is inadequate.



  1. If the fraction a/b is positive, then which of the following must be true ?
    1. a > 0
    2. b > 0
    3. ab > 0
    4. a + b > 0

  1. View Hint View Answer Discuss in Forum

    If the fraction a/b is positive, then a > 0 and b > 0 .

    Correct Option: C

    If the fraction a/b is positive,
    then a > 0 ..............(i)
    and b > 0 ..............(ii)
    Multiply (i) and (ii)
    So ab > 0 must be true.


  1. 5/12 part of what amount will be equal to 33/4 part of ₹ 100 ?
    1. ₹ 900
    2. ₹ 940
    3. ₹ 875
    4. ₹ 975

  1. View Hint View Answer Discuss in Forum

    Let the amount be ₹ a
    According to the question,
    a x 5/12= 33/4 x 100
    solve the equation.

    Correct Option: A

    Let the amount be ₹ a
    According to the question,
    a x 5/12= 33/4 x 100
    ⇒ 5a/12 = 15/4 x 100
    a = 12/5 x 15/4 x 100
    a = 12 x 15 x 100/4 x 5
    a = ₹ 900



  1. Representation of 0.2341 in the form p / q, where p and q are integers, q ≠ 0, is?
    1. 781/3330
    2. 1171/4995
    3. 2341/9990
    4. 2339/9990

  1. View Hint View Answer Discuss in Forum

    0.2341 = (2341 - 2) / 9990 = 2339/9990

    Correct Option: D

    0.2341 = (2341 - 2) / 9990 = 2339/9990