Question Numbers (27 to 32): Answer the questions
on the basis of the information given below.
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.
What were the bids by Arun, Bankim, Charu and
Dipak, respectively in the first round?