Question

What will be the minimum number of rounds (including above) after which all three could have the same number of amount?

• A. 12 rounds
• B. 8 rounds
• C. 6 rounds
• D. Never

Answer 1

The correct option is C 6 rounds

The total of scores is 39. Factors of 39 are 1, 3, 13 and 39. So, the number of rounds has to be 3. Hence, the total of the numbers on balls is 13.
The highest score is 20, hence 6 cannot be the highest number else only a maximum of 18 can be possible. So the highest number is at least 7.
Also, a player has a score of 10 so the highest number cannot be more than 8.
The lowest number cannot be more than 2 else the condition will be violated.
If we see, there will be only one possibility which will come up i.e. 1, 4 and 8
The round-wise score is:
Karan: 8,8,4
Aman: 1,1,8
Vijendar: 4,4,1
After six rounds it can be equal.
Karan = 8 + 8 + 4 + 1 + 1 + 4 = 26
Aman = 1 + 1 + 8 + 4 + 4 + 8 = 26
Vijendar = 4 + 4 + 1 + 8 + 8 + 1 = 26