Answer the following question based on the information given below.The...
From the given table, we find the maximum and minimum number of players who could have scored between the ranges 51-100,
101-150, 151-200 and so on.
The minimum score of no player is less than 100.
The minimum and maximum number of players who could have scored between 51 and 100 is 0.
Now consider the range 101-150:
There is only one senior player in group A, and he has scored 123.
The minimum and maximum number of senior players who could have scored between 101 and 150 is 1. Among juniors, there are 2 players in group A. Clearly, the total score of one of these is 192 and the total score of the other is 143.
The minimum and maximum number of junior players who could have scored between 101 and 150 is 1.
Now consider the range 151-200:
Among the 4 seniors in group B, the minimum total score is 183.
The maximum total score is 221, which is greater than 200.
The minimum number of players who have scored in the range 151-200, is 1 and the maximum is 3 (at least one player has scored 221).
Among the 8 juniors in group B, at least 1 and at most 7 could have scored between 151-200.
In group C, at least 1 and at most 6 could have scored between 151-200. Also, one junior from group A has scored between 151- 200.
The minimum number of players who have scored in the range 151-200, is 1 + 1 + 1 = 3 and the maximum is 7 + 6 + 1 = 14
Continuing in this manner, we have the following:
From the table, the number of juniors scoring between 401 and 450 is at most 5.
••• Option 1 is true.
Option 2 is false, because the number of seniors scoring between 501 and 550 (both values inclusive) is at least 3.
Option 3 is false, because, there is no one among the juniors who scores between 301 to 350 (both values inclusive).
Hence, option 1.