Each of the five batsmen– A, B, C, D and E– belongs to exactly one team among Rajasthan, Bangalore, Mumbai, Kolkata and Punjab, not necessarily in that order. No two of them belong to the same team. In a twenty-20 tournament, the total runs scored by each of them is unique and is among 96, 112, 64, 72 and 80, in no particular order. The number of balls faced by each of them is a multiple of 4. Each of them faced at least 16 and at most 36 balls. The runs scored per ball by each of them is an integer and is not more than 4. Further the following information is known:
1. The total runs scored by the batsman of team Mumbai is 24 more than that scored by C.
2. The difference between the runs scored by the batsmen of teams Bangalore and Rajasthan is half the difference between the runs scored by batsmen D and E.
3. No one scored less runs per ball than the batsman who scored 16 runs less than that scored by the batsman of team Kolkata. E does not belong to team Mumbai.
4. B faced the least number of balls and scored 8 runs more than a batsman, who is not a player of team Bangalore.