Question

The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each.
Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game:
1.At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.
2.At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.
3.Dipak’s score in the third round was less than his score in the first round but was more than his score in the second round.
4.In exactly two out of the six rounds, Arun was the only player who bid Hi.
In how many rounds did Bankim bid Lo? [This Question was asked as TITA]

• A. 3 rounds
• B. 2 rounds
• C. 4 rounds
• D. 5 rounds

Answer 1

The Correct Option is C

Provided Information:

1. Arun's score improved by 1 point between the third and sixth rounds.
2. Arun was the sole player to bid "Hi" in precisely two of the six rounds.
3. Dipak's score in the third round was lower than his first-round score but higher than his second-round score.

Previously Determined:

• Arun bid "Hi" exclusively in the second and sixth rounds.
• Dipak bid "Lo" in the third round and either "Hi" in the first or second round.
  Now, let's ascertain Bankim's bids.

At the conclusion of the third round, Bankim's score was -2, and at the end of the sixth round, it was -1.
This indicates a 1-point increase in Bankim's score from the third to the sixth round.
To achieve this 1-point increase, Bankim must have bid "Hi" in either the fourth or fifth round, and "Lo" in the other.
Considering there are only two remaining rounds where Bankim could have bid "Hi", and he had to bid "Lo" in the other rounds, Bankim must have bid "Lo" in the remaining four rounds.

Therefore, Bankim bid "Lo" in 4 rounds.