If first 6 results average is 49 & last 6 result average is 52

The average of 11 results is 50. If first 6 results average is 49 & last 6 result average is 52, then find the 6th
(a) 49
(b) 56
(c) 50
(d) 312

Anurag Mishra Professor Asked on 29th February 2016 in Maths.
Add Comment
  • 1 Answer(s)

    Answer: (b) 56

    Solution:-
    Average of 11 results = 50
    so total sum of 11 numbers = 550
    Let 6th number is X,
    So,  according to the given condition
    sum of first 5 numbers = 49 x 6 – x = 294 – X
    sum of last 5 numbers = 52 x6 – x = 312 – X
    so 6th number x = 550 – (294 – X) – (312 – X) = 2 X- 56
    so X = 2 X- 56 implies X = 56

    Hence, the correct answer is option (b) 56.

    Anurag Mishra Professor Answered on 4th March 2016.
    Add Comment
  • Your Answer

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