Six Nine Twenty-Seven

What is N?

6, 9, 27, 54, N, 2241

675.

The next number in the sequence is n squared minus m or f(n,m) = n2 – m
f(6,9) = 62 – 9 = 27
f(9,27) = 92 – 27 = 54
f(27,54) = 272 – 54 = 675
f(54,675) = 542 – 675 = 2241

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How Can Four Be Half of Five?

How can the number 4 be half of FIVE?

Beginning with FIVE, take away the F and E (half of the letters), leaving IV, which is the Roman numeral for four.

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Sometimes I’m An Insult

Sometimes I’m an insult,
Sometimes I’m a meal,
But if you see me hanging around,
I hope to change how you feel.

A turkey.

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I Have Four Pairs of Letters

I have four pairs of letters,
Leaving two to stand alone.
You’re often doing the opposite,
When playing on your phone.

I help you get things done,
With one big caveat,
If taken to extremes,
I could make you fat.

What am I?

Efficiency. Being efficient helps you get things done, but if you’re extremely efficient with your tasks you get less exercise.

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I Am Two-faced, But Bear One Head

I am two-faced, but bear one head.
Men spill their blood for me.
I have no legs but travel widely.
I make kings immortal.
I am potent when shared,
Yet lust for my power keeps me locked away.

What am I?

Money (coins specifically). Coins have two faces, heads and tails. People fight for money, and money travels far and wide. Kings live on when they’re depticted on a coin. Sharing money with others is a meaningful experience yet many people keep their money locked up.

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Sometimes I Get Stronger From The Sun

I can help you have some fun,
Sometimes I get stronger from the sun,
If you never give me a break,
You will find I never wake,
I am optimistic on one side,
I can be short, fat, tall or wide,
Rectangle and cylinder are two of my shapes,
And I can even help you make video tapes,
Sometimes you must wait for me to get ready,
Just hold on for a few hours and be steady,
I can help you get around the mall,
Or help you make a telephone call.

What am I?

A battery. Games and other entertainment devices run on batteries. Batteries can be charged using solar power, which is from the sun. If you use a battery-powered device long enough, the battery will die. Batteries have a plus side and can be all shapes and sizes. They can power scooters and Segways commonly used in malls and your cell phone requires a battery to function.

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I Can Create Peace

My first is in alphabet, my third is in Guinness, my sixth is in donut and my eighth is in elephant. My fifth doesn’t appear in walrus, my second isn’t in stealth, but my seventh is in tremendous and my fourth is in horse. I can create peace.

What am I?

Everyone. Several words match the letter requirements, but only everyone satisfies the last statement. The other words are:

absentee
aperture
housetop
evermore

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Guess the Three Words

Think of the six-letter name of a European capital city whose starting letter falls in the last half dozen letters of the alphabet and whose last letter is a vowel.

Now think of a three-letter words that means “permit”.

Last, combine all nine letters from the two words above. Rearrange the letters to form a word that you might call someone you like.

1. Vienna
2. let
3. Valentine (Vienna + let)

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Cops Close Cellar Corpse

Replace the letters with numbers to make this a valid mathematical equation.

    COPS
   CLOSE
  CELLAR
  CORPSE
    CASE
+ COLLAR
--------
  RECTOR
    2730
   29704
  249918
  278304
    2104
+ 279918
--------
  842678
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A Circular Island

A circular island with a diameter of 30 feet has a 30 foot tree stands at the center. A man cuts the tree down with his chainsaw, making the cut a foot up from the ground. The tree comes crashing down and hits the water but doesn’t splash. Why not?

It’s winter and the water is frozen.

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