Answer the given question based on the information given below
In a Class X Board examination, ten papers are distributed over five groups i.e., PCB, Mathematics, Social Science, Vernacular and English. Each of the ten papers is evaluated out of $100.$ The final score of the student is calculated in the following manner. First the Group Scores are obtained by averaging the marks in the papers within the group. The final score is the simple average of the Group Scores. The data for the top tem students are given below. (Dipan’s score in English paper II has been intentionally removed from the table).
|
PCB Group
|
Mathematics Group
|
Social Science Group
|
Vernacular Group
|
English Group
|
Final Score
|
Name of the student
|
Phy
|
Che
|
Bio
|
Hist
|
Geo
|
Paper I
|
Paper II
|
Paper I
|
Paper II
|
Ayesh (G)
|
98
|
96
|
97
|
98
|
95
|
93
|
94
|
96
|
96
|
98
|
96.2
|
Ram (B)
|
97
|
99
|
95
|
97
|
95
|
96
|
94
|
94
|
96
|
98
|
96.1
|
Dipan (B)
|
98
|
98
|
98
|
95
|
96
|
95
|
96
|
94
|
96
|
??
|
96.0
|
Sagnik (B)
|
97
|
98
|
99
|
96
|
96
|
98
|
94
|
97
|
92
|
94
|
95.9
|
Sanjiv (B)
|
95
|
96
|
97
|
98
|
97
|
96
|
92
|
93
|
95
|
96
|
95.7
|
Shreya (G)
|
96
|
89
|
85
|
100
|
97
|
98
|
94
|
95
|
96
|
95
|
95.5
|
Joseph (B)
|
90
|
94
|
98
|
100
|
94
|
97
|
90
|
92
|
94
|
95
|
95.0
|
Agni (B)
|
96
|
99
|
96
|
99
|
95
|
96
|
82
|
93
|
92
|
93
|
94.3
|
Pritam (B)
|
98
|
98
|
95
|
98
|
83
|
95
|
90
|
93
|
94
|
94
|
93.9
|
Tirna (G)
|
96
|
98
|
79
|
99
|
85
|
94
|
92
|
91
|
87
|
96
|
93.7
|
Note: B or G against the name of the student respectively indicates whether the student is a boy or girl
Each of the ten students was allowed to improve his/her score in exactly one paper of choice with the objective of maximizing his/her final score. Everyone scored $100$ in the paper in which he or she chose to improve. After that the topper among the ten student was
- Ram
- Agni
- Pritam
- Ayesha
- Dipan