Seven athletes — A1, A2, A3, A4, A5, A6, and A7 participated in a 100 m race on each day of a particular week from Sunday to Saturday. Ranks, from 1 to 7, were given to the athletes after each race. Rank 1 was given to the athlete who was the fastest to complete the race, Rank 2 was given to the athlete who was the second fastest to complete the race, and similarly Rank 7 was given to the athlete who was the slowest to complete the race. The table provides information about the ranks received by the athletes in the races on Sunday, Monday, Tuesday, Wednesday, Thursday, and Friday.
One athlete is said to be better than another athlete, if he/she has received a better Rank than another athlete in at least 4 races.
_________|Rank 1|Rank 2|Rank 3|Rank 4|Rank 5|Rank 6|Rank 7|
Sunday | A4 | A7 | A2 | A5 | A6 | A3 | A1 |
Monday | A3 | A6 | A5 | A2 | A4 | A7 | A1 |
Tuesday | A1 | A6 | A2 | A4 | A3 | A5 | A7 |
Wednesday| A5 | A3 | A7 | A1 | A4 | A2 | A6 |
Thursday | A2 | A5 | A7 | A6 | A1 | A4 | A3 |
Friday | A6 | A7 | A3 | A2 | A1 | A5 | A4 |
If A4 is not better than any of the given athletes, then how many different ranks could have been received by him/her in the race on Saturday?
A3 could have been better than at most how many athletes?
Please tell how to approach this.
Source : IMS