Just Two Letters

Using just two letters, fill in the blank letters below to make five English words. The letters are not always in the same order and the same letter may of course be used more than once. What are the words?

1. _ N T _ I N _
2. V I _ _ _ R
3. _ H _ _ L
4. _ _ _ K
5. _ _ _

The two letters are E and W. They make the following words

1. ENTWINE
2. VIEWER
3. WHEEL
4. WEEK
5. EWE

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Graphical Rebus Three

What does this rebus represent?

Rebus

Can You Feel The Love Tonight?

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Dark As Midnight

What is dark as midnight but is still night?
The word has 7 letters, starts with a B and ends with an E.

Bedtime

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Alfred’s Tough Cash Request

Alfred is at the bank to cash his $200 check. He tells the cashier he would like some one dollar bills, ten times as many two dollar bills and the rest in fives.

How many of each denomination does the cashier need to give Alfred?

Five $1 bills, 50 $2 bills and 19 $5 bills.

We know that in order to give the rest of the amount in fives, the sum of the one and two dollar bills needs to be divisible by five (i.e. end in 0 or 5).

If we start with a single one dollar bill, we’d need ten two dollar bills to satisfy the request, making $21. But we need a sum that is divisible by 5. So we keep going up, like so:

$1 + $2 * 10 = $21
$2 + $2 * 20 = $42
$3 + $2 * 30 = $63
$4 + $2 * 40 = $84
$5 + $2 * 50 = $105 (Aha! It’s divisible by 5)
$6 + $2 * 60 = $126
$7 + $2 * 70 = $147
$8 + $2 * 80 = $168
$9 + $2 * 90 = $189

So the only option that works is 5 $1 bills and 50 $2 bills, leaving $95 (95 / 5 = 19) to be paid out in 19 fives.

Alfred is one tough customer.

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Horse Fence

Farmer Finnegan needs to build a fence to keep his horses on his property. He only has a little over 1.5 miles of fence materials, but there’s also a mile-long straight river running through his property. What shape should he use for the fenced in area to give his horses the most space possible?

Our dear friend Finnegan should build a half-circle fence with the river as the diameter, giving the horses about 0.4 square miles to frolic and play in.

Area of semi-circle = πr2 / 2 = π × .5 miles2 / 2 = 0.3927

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Six Faces But No Arms

I have six faces but no arms, and twenty one eyes but I can’t see.

What am I?

A die. There six sides (or faces) and twenty one pips.

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777, 888 and 999

You are given the numbers 777, 888 and 999. Using the numbers once and adding, subtracting, multiplying or dividing, how can you make 999?

(7 x 7 x 7) + (9 x 9 x 8) + ((9 – 8) x 8) = 999
(77 + 7) + 888 + (9 + 9 + 9) = 999

If other operators were allowed, another solution would be 999 modulo (888 x 777). I’m sure there are more solutions.

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First is Twice in Apple

My first is twice in apple but not once in tart.
My second is in liver but not in heart.
My third is in giant and also in ghost.
Whole I’m best, when I am roast.
What am I?

You are a pig.

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Turns Everything Around

What turns everything around but doesn’t move?

A mirror.

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Tabitha and Ronan’s Age

Tabitha is 13 years old. Her father Ronan is 40 years old. How many years ago was Ronan four times as old as Tabitha?

Four years ago, when Tabitha was 9 and Ronan was 36 (9 × 4 = 36)

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