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. _ _ _
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?
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:
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
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?