Find a six-digit number containing no zeros and no repeated digits that satisfies the following conditions:
1. The first and fourth digits sum to the last digit, as do the third and fifth digits.
2. The first and second digits when read as a two-digit number equal one quarter the fourth and fifth digits.
3. The last digit is four times the third digit.
If you call the number ABCDEF, then you get the following equations.
1. A + D = F and C + E = F
2. AB = DE / 4
3. F = 4 × C
The only numbers that work for C and E are 2 and 6 or 4 and 8, and in order to make F a single-digit number, we can deduce that C = 2, E = 6 and F = 8.
So far, our number is AB2D68.
We know A + D = 8 so A and D are both odd numbers. The only odd number less than 8 that we can use for D to make one-quarter of two-digit number D6 also be a two-digit number is 7, so D = 7 and A is 1. This makes the two-digit number AB 19.
Arlington National Cemetery, the burial place of soldiers from the United States Civil War. It also houses the tomb of unknown soldiers. General Robert E. Lee’s mansion once stood on the land that is now occupied by the cemetery. And on Memorial Day in the US, we honor all those who died while serving their country’s armed forces.
A woman shoots her husband, then holds him under water for five minutes. Finally, she hangs him. Five minutes later they enjoy a wonderful dinner together. How can this be?
I have palms but not on hands,
I offer foods from distant lands,
When at my peak you’ll see me smoke,
I’m famous for my friendly folk,
My flowers grow and yet they lay,
There’s fire where a man will play,
I’m sure you know we’re family,
You’re welcome to come stay with me.
Fold the paper in half and make cuts that are almost entirely across the width of the paper. Switch between sides. When the paper is opened there will be a very large hole that you can climb through (carefully).
You must buy 100 chickens for exactly $100, and purchase at least one chicken from each store. The first store charges 5 cents/chicken, the second charges $1/chicken and the third charges $5/chicken. How many chickens should you buy from each store?