Which of the following is the correct sequence of goals scored in matches 1, 3, 5 and 7?
Started 1 month ago by Shashank in
Explanatory Answer
A total of 12 goals were scored in 8 matches and each player scored atleast one goal and no of goal scored by each one of them is distinct so the possible number of goals scored by the players can be (1,2,3,6) or (1,2,4,5)
From statement 4 we know that Bimal scored 4 goals and since harita scored more goals than bimal so we can say that harita scored 5 goals and the only case possible for total goals scored by each of the player is (1,2,4,5)
Now, using statement 1, statement 3 and statement 4 we can say that the three consecutive matches in which bimal scored will be 5 th ,6 th and 7 th matches as harita scored in 4 th and 8 the matches. From statement 5 and 6 we can conclude that the highest number of goals were scored in match 1 Let the no. Of goals scored in 3 rd and 7 th match be a each and no. Of goals scored in 1 st and 5 th match be b and c respectively.
Therefore, 2a+b+c=8
If a=1 then b+c=6 if a=2 then b+c= 4 therefore possible solution for b and c will be 1 and 3 and harita scored 5 goals in 3 matches therefore, we can see this is not possible because the no of goals scored in match1 becomes 4 Therefore, the only possibile solution is a=1 b=4 and c=2 And the remaing 3 goals were scored in the matcg 2,3 and 5 by amla and sarita in some order
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