If x = 2/3 and y = 3/4, then a rational number between

If x = 2/3 and y = 3/4, then a rational number between (x – y)-1 and (x-1 – y-1) is
(a) 2/3
(b) -71/2
(c) -71/12
(d) 1/6

Anurag Mishra Professor Asked on 23rd February 2016 in Maths.
Add Comment
  • 1 Answer(s)

    Answer: (c) -71/12

    Solution:-
    x = 2/3  and y = 3/4
    Then,  x – y = 2/3 – 3/4
    = (8 – 9)/12
    = -1/12
    (x – y)^-1 = -12

    x^-1 = 3/2  & y^-1 = 4/3
    Then, x^-1 – y^-1 = 3/2 – 4/3
    = (9 – 8)/6
    = 1/6

    Then, the rational number between (x – y)^-1 and (x^-1 – y^-1) = (1/6 -12)/2
    = (1 – 72)/12
    = -71/12

    Hence, the correct answer is option (c) -71/12.

    Anurag Mishra Professor Answered on 25th February 2016.
    Add Comment
  • Your Answer

    By posting your answer, you agree to the privacy policy and terms of service.