### Brain Teasers

# Romankachi Card Game!!!

I woke up late that morning to welcome a bright sunny day after a long and hectic week. It was a holiday and I was determined to spend the day playing cards with my friend Tweeto. Tweeto's favorite card game was the Romankachi card game.

The rules of the game are as follows :-

1) One person 'serves' and the other 'receives' cards in each round.

2) The person who serves cards in the round gains 2 cards if he wins the round and loses only 1 card if he loses the round.

3) On the other hand, the person who receives cards in the round, gains only 1 card if he wins the round and loses 2 cards if he loses the round.

4) Finally the person who wins in one round, serves in the next round.

5) The game is stopped when a player loses all his cards.

We started off with 5 cards each and I served in the first round.

At the end of three rounds if I had exactly 4 cards then which of the following statements must be true:-

A) Tweeto must have won exactly two rounds.

B) I must have won the first round.

C) Tweeto must have won the third round.

NOTE: Out of the given set of 3 statements, it is not necessary that one and only one statement is true. One or more statements may be true.

The rules of the game are as follows :-

1) One person 'serves' and the other 'receives' cards in each round.

2) The person who serves cards in the round gains 2 cards if he wins the round and loses only 1 card if he loses the round.

3) On the other hand, the person who receives cards in the round, gains only 1 card if he wins the round and loses 2 cards if he loses the round.

4) Finally the person who wins in one round, serves in the next round.

5) The game is stopped when a player loses all his cards.

We started off with 5 cards each and I served in the first round.

At the end of three rounds if I had exactly 4 cards then which of the following statements must be true:-

A) Tweeto must have won exactly two rounds.

B) I must have won the first round.

C) Tweeto must have won the third round.

NOTE: Out of the given set of 3 statements, it is not necessary that one and only one statement is true. One or more statements may be true.

### Answer

Statements A and C must be true.The rules of the Romankachi card game are given below.

1) One person 'serves' and the other 'receives' cards in each round.

2) The person who serves cards in the round gains 2 cards if he wins the round and loses only 1 card if he loses the round.

3) On the other hand, the person who receives cards in the round, gains only 1 card if he wins the round and loses 2 cards if he loses the round.

4) Finally the person who wins in one round, serves in the next round.

5) The game is stopped when a player loses all his cards.

The given statements are

A) Tweeto must have won exactly two rounds.

B) I must have won the first round.

C) Tweeto must have won the third round.

Since we started the card game with 5 cards each and I started of the first round, at the end of three rounds I can have 4 cards due to any one of the following two results.

First Result :

I served in the first round and won. Hence I served in the second round but lost. Tweeto served in the third round and again I lost thus ending up with 4 cards.

The number of cards with me and Tweeto is tabulated below.

Round Me Tweeto

Initially 5 5

Round 1 7 3

Round 2 6 4

Round 3 4 6

Applying the given statements to the above table, we can observe that statements A and C are true since Tweeto won exactly two rounds and Tweeto won the third round. Statement B is true here because I won the first round.

Second Result :

I served in the first round and lost. Hence Tweeto served in the second round but he lost. I served in the third round and I lost thus ending up with 4 cards.

The number of cards with me and Tweeto is tabulated below.

Round Me Tweeto

Initially 5 5

Round 1 4 6

Round 2 5 5

Round 3 4 6

Applying the given statements to the above table, we can observe that statements A and C are true since Tweeto won exactly two rounds and Tweeto won the third round. Statement B is false here because I lost the first round.

Hence it is clear from both the results that statements A and C must be true for me to end up with 4 cards at the end of three rounds.

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