Four Gallons From Two Buckets

You have two buckets. One holds exactly five gallons and the other three gallons. How can you measure exactly four gallons of water into the five gallon bucket?

Assume you have an unlimited supply of water and that there are no measurement markings of any kind on the buckets.

  1. Fill the 3-gallon bucket.
  2. Pour the 3 gallons of water into the 5-gallon bucket
  3. Fill the 3-gallon bucket again.
  4. Fill up the 5-gallon bucket with the 3-gallon bucket, leaving you with 1 gallon left in the 3-gallon bucket.
  5. Empty out the 5-gallon bucket.
  6. Pour the remaining 1 gallon of water from the 3-gallon bucket into the 5-gallon bucket.
  7. Fill the 3-gallon bucket.
  8. Pour the 3 gallons of water from the 3-gallon bucket into the 5-gallon bucket leaving you with 4 gallons of water in the 5-gallon bucket.

Alternate solution:

  1. Fill up the 5 gallon bucket
  2. Pour it into 3 gallon bucket, leaving 2 gallons
  3. Empty out the 3 gallon bucket
  4. Pour the 2 gallons in the 5 gallon bucket into the 3 gallon bucket
  5. Fill up the 5 gallon bucket and pour it into the 3 gallon bucket until it’s full, leaving 4 gallons in the 5 gallon bucket.
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Two Fuses

You have a lighter and two fuses that take exactly one hour to burn, but they don’t burn at a steady rate. For example, one fuse could take 59 minutes to burn the first inch and then burn the rest of the fuse in the last minute.

How would you use these two fuses to measure 45 minutes?

Light the first fuse on both ends and the second fuse at only one end. When the first fuse burns out you know 30 minutes have passed. Light the other end of the second fuse and when it burns out, 45 minutes have passed.

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The Boat at High Tide

A boat has a ladder that has six rungs. Each rung is one foot apart. The bottom rung is one foot from the water. The tide rises at 12 inches every 15 minutes. High tide peaks in one hour.

When the tide is at its highest, how many rungs are under water?

None. The boat is floating on the water, so as the tide rises, so does the ladder.

Posted in Brain Teasers

A Bottle and a Cork

A bottle and cork cost $1.10. If the bottle costs a dollar more than the cork, how much does the cork cost?

Most people guess 10 cents, but $1 more than 10 cents is $1.10, which would mean the total cost would be $1.20, not $1.10.

The correct answer is 5 cents. If the cork costs 5 cents, then the bottle costs a dollar more, or $1.05, making the total cost $1.10.

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Which Switch?

You are standing outside a closed door. On the other side of the door is a room that has three light bulbs in it. The room is completely sealed off from the outside. It has no windows and nothing can get in or out except through the door. On the outside of the room there are three light switches that control each of the respective light bulbs on the other side of the door.

Your assignment is to determine which light switch controls which light bulb. You are allowed to enter the room only once, and once you come out, you must be able to state with 100% certainty which light switch controls which light bulb.

Turn one light switch on, wait a few minutes, then turn it off and turn another light switch on. Go into the room and feel the light bulbs. The one that’s still warm is connected to the switch that you first turned on, the one that is on was the second switch you turned on, and the last bulb is controlled by the switch that you didn’t touch.

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Two Identical Women

Two women apply for a job. They are identical and have the same mother, father and birthday. The interviewer asks, “Are you twins?” to which they honestly reply, “No”.

How is this possible?

They are triplets.

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Three Children’s Names

Tom’s mother has three children. One is named April, one is named May. What is the third one named?

Tom

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Two Tons

If you had a ton of feathers and a ton of stones which would be heavier?

Neither. A ton is a ton, no matter what it’s made up of, and they both weigh a ton.

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Hundreds of Letters

What seven-letter word has hundreds of letters in it?

Mailbox

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Sisters and Brothers

My daughter has as many sisters as she has brothers. Each of her brothers has twice as many sisters as brothers. How many sons and daughters do I have?

Four daughters and three sons. Each daughter has 3 sisters and 3 brothers, and each brother has 2 brothers and 4 sisters.

To figure it out mathematically, you could use the following two equations where G = the number of girls and B = the number of boys:
G – 1 = B
2(B – 1) = G

Solving for G gives you 4 and plugging that in to G – 1 = B gives you a B of 3.

Posted in Brain Teasers