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Answer: Light both candles at the same time. The faster-burning candle will burn out in 30 minutes. At this point, light the other end of the slower-burning candle. The slower-burning candle will burn out in 15 more minutes, giving you a total of 45 minutes.

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You have two containers, one with 8 liters and one with 12 liters of water. Without using any measuring tools, how can you measure exactly 6 liters?

Answer: Pour water from the 12-liter container into the 8-liter container until it is full, leaving exactly 4 liters in the 12-liter container. Pour the 4 liters into the 8-liter container again, leaving 4 liters of space in the 8-liter container. Now pour water from the 12-liter container into the 8-liter container until the 8-liter container is full, leaving exactly 6 liters in the 12-liter container.

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Two trains are on the same track, 100 miles apart. One train travels at 40 miles per hour, and the other at 60 miles per hour. How long until they meet?

Answer: 1 hour (They are closing the distance between them at a combined rate of 100 miles per hour).

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You have a large cube made up of 27 smaller cubes, arranged in a 3x3x3 structure. If you remove the entire outer layer of smaller cubes, how many cubes are left?

Answer: 1 cube (The cube at the center).

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If a bat and a ball together cost $1.10, and the bat costs $1.00 more than the ball, how much does the ball cost?

Answer: The ball costs $0.05 and the bat costs $1.05.

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You have 100 coins laying flat on a table, each with a head side and a tail side. 10 of the coins are heads up, and 90 are tails up. You can’t feel, see, or otherwise tell which way up the coins are. How can you divide the coins into two piles so that there are the same number of heads in each pile?

Answer: Create two piles by flipping any 10 coins from the original set. Both piles will have the same number of heads.

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A farmer has a wolf, a goat, and a cabbage. He needs to get all three across a river using a boat that can only carry himself and one other item. If left together, the wolf will eat the goat, and the goat will eat the cabbage. How does he do it?

Answer: Take the goat across first. Return and take the wolf across. Bring the goat back with you. Take the cabbage across. Return to get the goat.

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You have a 7-minute hourglass and an 11-minute hourglass. How can you measure exactly 15 minutes?

Answer: Start both hourglasses at the same time. When the 7-minute hourglass runs out, flip it. When the 11-minute hourglass runs out, flip it. When the 7-minute hourglass runs out again, flip it one last time. When the sand runs out of the 7-minute hourglass again, 15 minutes have passed.

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