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Mathematical Puzzles and Riddles

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I speak all languages and am able to stay hidden where no man can see me. But you see me every day. What am I?

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A Letter. Individual letters of the alphabet can be found in every language and can be 'hidden' in words, yet you see them every day.

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If two's company, and three's a crowd, what are four and five?

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Nine. The phrase 'two's company, three's a crowd' is unrelated to the mathematical sum of four and five, which is nine.

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What has many teeth but cannot bite?

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A Comb. A comb has 'teeth' - the narrow, pointed parts that you use to comb your hair, but it cannot bite.

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You see a boat filled with people. It has not sunk, but when you look again you don’t see a single person on the boat. Why?

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All the people were married. The riddle plays on the interpretation of 'single' as meaning unmarried rather than alone.

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If you have me, you want to share me. If you share me, you no longer have me. What am I?

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A Secret. Once you tell a secret, it is no longer a secret.

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What 4-letter word can be written forward, backward or upside down, and can still be read from left to right?

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The word 'NOON'. It is the same when written forward, backward, or upside down.

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What is full of holes but still holds water?

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A sponge. Despite having many holes, a sponge can absorb and hold water within them.

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The more you take, the more you leave behind. What am I?

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Footsteps. The more steps you take, the more footprints you leave behind.

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What can you catch but not throw?

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A Cold. You can 'catch' a cold (become sick with it), but you cannot throw it like a physical object.

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I am always hungry and will die if not fed, but whatever I touch will soon turn red. What am I?

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Fire. Fire consumes fuel to keep burning. Anything that it touches gets burned and can turn red or black.

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What has a bottom at the top?

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A leg. The bottom of your leg is at the top of your foot.

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What has one eye, but can't see?

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A Needle. A needle has an 'eye' which is the hole through which the thread passes, but it cannot see.

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What has keys but can't open locks?

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A Piano. Pianos have keys which are used to produce music, but they cannot open locks.

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I am not alive, but I grow; I don't have lungs, but I need air; I don't have a mouth, but water kills me. What am I?

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Fire. Fire grows and spreads but is not a living creature. It needs oxygen (air) to continue burning but can be extinguished with water.

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What is 3/7 chicken, 2/3 cat and 2/4 goat?

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Chicago. The word 'Chicago' is made up of parts of the words 'chicken', 'cat', and 'goat' (chi-ca-go).

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What has a heart that doesn't beat?

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An Artichoke. An artichoke has a part called the 'heart', but it does not pulsate like a living heart.

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What is seen in the middle of March and April that can't be seen at the beginning or end of either month?

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The letter 'R'. The letter 'R' is in the middle of 'March' and 'April' but not at the beginning or end of those words.

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A certain five-letter word becomes shorter when you add two letters to it. What is the word?

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Short. When you add 'er' to the end, making it 'shorter'.

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When I am filled, I can point the way. When I am empty, nothing moves me. What am I?

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A Glove. When a hand is in a glove, it can point. Without a hand, it does not move.

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What can travel around the world while staying in a corner?

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A Stamp. A stamp is placed in the corner of an envelope and can travel to any destination around the world.

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I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?

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An Echo. An echo is a sound that is reflected off a surface and heard again. It does not have a physical form and tends to be heard well in windy conditions or open areas.

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Which word in the dictionary is spelled incorrectly?

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Incorrectly. The word 'incorrectly' itself is always spelled 'incorrectly'.

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You measure my life in hours and I serve you by expiring. I'm quick when I'm thin and slow when I'm fat. The wind is my enemy. What am I?

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A Candle. A candle burns (expires) to give light, burning quickly when thin and slowly when thick. A strong wind can extinguish a candle's flame.

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Forward I am heavy, but backward I am not. What am I?

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The word 'ton'. When the letters are reversed, it spells 'not', which is not heavy.

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Which number does not belong in the following series: 2 - 3 - 6 - 7 - 8 - 14 - 15 - 30

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The number '8'. All other numbers are either prime or can be multiplied or divided by the preceding number to give the next number (3 x 2 = 6, 7 x 2 = 14, etc.), but '8' does not fit this pattern.

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