Cut One Off And I Become Stronger

I have three letters. Cut one off and I become stronger. Cut two off and I become ten. What am I?

A fox. Removing the f leaves ox, a strong animal. Cutting off the fo leaves X, the roman numeral for 10.

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If I’m Ever Gone, Beware

Sometimes you’ll find me hard and cold,
Other times I’m hard to hold,
Always present in the air,
If I’m ever gone, beware.

What am I?

Water. As ice I’m hard and cold, as water vapor I’m hard to hold and I’m always present in the air as humidity (aka water vapor). If the earth ever runs out of water, we’re toast.

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Two Three Four Fifteen

What is the missing number?

2 3 4 15 12
3 4 5 28 20
4 5 6 45 30
5 6 7 66 42
6 7 8 ?? 56

91. To get the number in the fourth column, you add the numbers in column 1 and 2, then multiply by the number in column 2. f(n,m) = (n + m) * m
For example, f(2,3) = (2 + 3) * 3 = 15. Thus f(6,7) = (6 + 7) * 7 = 91

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Square Root Equations

Arrange the digits 1 through 9 into an equation so that the first number is the square root of the second number. (Two possible variations)

5672 = 321,489

OR

8542 = 729,316

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Dancing All The Time

Moving to and fro,
Dancing all the time.
Only to be moved by others
To allow them to pass by.

What am I?

A door.

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Highest Number Without the Letter N?

What is the highest regular counting number that is spelled without the use of the letter “N”? (No numbers like Googolplex or Graham’s number)

Eighty-eight. From then on, they all have the letter “N”.

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What Has Four Legs and Flies?

What has four legs and flies?

A horse with bugs or two pairs of trousers. The four legs should be obvious and the flies are the zippers.

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Soldiers Line Up Spaced With Pride

Soldiers line up, spaced with pride,
Two long rows lined side by side,
One sole unit can decide,
If the rows will unite or divide.

What am I?

A zipper.

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Bowl That Can’t Be Filled

I am as round and deep as a bowl, but all the world’s water couldn’t fill me up. What am I?

A sieve.

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Two Halves And a Whole

Complete the three missing words in the sentence, with the first two words combining to form the third word.

For example:

The prime minister ____ the meeting, even though the ____ was technically the ____ official.
The three missing words would be RAN, KING, and RANKING.

Now solve this one:

When she broke her ____ showing off at the ____ of the ski run, Arya became a ____ among her friends.

LEG, END, LEGEND

When she broke her LEG showing off at the END of the ski run, Arya became a LEGEND among her friends.

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