Abstract Reasoning Test

There is a jar containing 100 stones. You and your opponent take turns removing stones from it.

On each turn, a player must remove between 1 and 5 stones (i.e., you cannot pass or remove more than 5).

The player who takes the last stone wins.

Assume your opponent goes first and that both players are highly intelligent and will play optimally.

What strategy should you adopt to guarantee your victory?

Your Answer:

• Regardless of how many stones my opponent takes, I will take 5 stones in the first round to maximize my immediate gain.
• My goal during the game is to ensure that the total number of stones removed in each round (my opponent's turn + my turn) remains a fixed value.
• I need to calculate a "key number" and ensure that after a certain round, the number of stones left for my opponent is a multiple of this key number.
• Because my opponent goes first and is smart, I have no guaranteed winning strategy and I can only hope for them to make a mistake.
• I need to decide how many stones to take based on my opponent's first move to ensure that the sum of our first moves reaches a specific value.

A bear falls into a hole that is 20 meters deep. It takes 2 seconds to hit the bottom.

What is the color and species of the bear?

Your Answer:

• White, Polar Bear
• Gray, Tibetan Horse Bear
• Brown, Grizzly Bear
• Blackish-brown, Malayan Sun Bear