Multiple choice general knowledge math & puzzles

Last vacation, my cousin came over to stay at my home. We made the most of her stay at my place... and I even earned a few chocolates. Everyday, we would play a game of chess. Whoever lost the game owed a chocolate to the other. After the last game we played (that was the day she was to leave), we counted the number of games each of us had won and lost. Wow! I had won more than her. So, she handed me 11 chocolates... though she herself was the winner in 10 games. How many days did my cousin spend at my place?

  1. 30

  2. 15

  3. 31

  4. 28
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total games = G. You won 21 games, cousin won 10 games, so G = 31. Your losses = cousin's wins = 10, so you paid 10 chocolates. Cousin's losses = your wins = 21, so she paid 21 chocolates. Net: cousin paid you 21-10=11 chocolates, which matches. The 31 days answer is correct.

AI explanation

To solve this problem, let's analyze the information given step by step:

  1. You and your cousin played a game of chess every day during her stay at your place.
  2. The loser of each game owed a chocolate to the winner.
  3. After the last game, you counted the number of games won and lost by each of you.
  4. You found out that you had won more games than your cousin.
  5. Despite that, your cousin handed you 11 chocolates, even though she had won 10 games.

Let's assume that your cousin stayed at your place for "x" days.

Since you mentioned that your cousin handed you 11 chocolates, it means that you won 11 games.

However, you also mentioned that your cousin won more games than you. This means that your cousin won 11 + 1 = 12 games.

Since you played one game each day, the total number of games played is equal to the number of days your cousin stayed at your place. Therefore, the correct answer is C) 31 days.

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