Put the characters C D M L X in the correct order (not alphabetical).
X (10), L (50), C (100), D (500), M (1000). They’re Roman numerals in order from smallest to largest.
X (10), L (50), C (100), D (500), M (1000). They’re Roman numerals in order from smallest to largest.
On a remote (imaginary) island, there are 11 snakes and a single mouse. As you’d expect, snakes eat the mice. But contrary to what you’d expect, when a snake eats a mouse, it turns into one.
The snakes live by only two rules:
1. Don’t get eaten.
2. Eat mice as long as rule #1 isn’t violated.
How many snakes and mice will there be left on the island?
10 snakes, 1 mouse.
If there were only a single snake and mouse, the snake could eat the mouse, then turn into one, leaving a single mouse.
If there were two snakes and a single mouse, rule 2 would keep either of the snakes from eating the mouse to avoid being eaten themselves.
With three snakes and one mouse, one of the snakes could eat a mouse and be safe as a mouse thanks to rule 2.
This pattern continues. With an even number of snakes, nothing happens. With an odd number of snakes, one snake can eat the mouse.
Thus, with 11 snakes, one snake would eat the mouse, turn into one and leave 10 snakes and 1 mouse.
10 snakes, 1 mouse.
If there were only a single snake and mouse, the snake could eat the mouse, then turn into one, leaving a single mouse.
If there were two snakes and a single mouse, rule 2 would keep either of the snakes from eating the mouse to avoid being eaten themselves.
With three snakes and one mouse, one of the snakes could eat a mouse and be safe as a mouse thanks to rule 2.
This pattern continues. With an even number of snakes, nothing happens. With an odd number of snakes, one snake can eat the mouse.
Thus, with 11 snakes, one snake would eat the mouse, turn into one and leave 10 snakes and 1 mouse.
How can you spell eighty with only two letters?
A-T (pronounced eighty).
A merchant has 21 sacks of grain: 7 full, 7 half-full and 7 empty. He wants to divide them equally among his three sons. How can he do this, without transferring any grain between sacks, so each son has the same quantity of grain and number of sacks?
We know each son must end up with 7 sacks and 3.5 sacks of grain, since (7 sacks + 7 half sacks) / 3 = 3.5 sacks each.
There are two solutions.
Solution 1
Son 1: 3 full, 1 half-full and 3 empty.
Son 2: 3 full, 1 half-full and 3 empty.
Son 3: 1 full, 5 half-full and 1 empty.
Solution 2
Son 1: 2 full, 3 half-full and 2 empty.
Son 2: 2 full, 3 half-full and 2 empty.
Son 3: 3 full, 1 half-full and 3 empty.
We know each son must end up with 7 sacks and 3.5 sacks of grain, since (7 sacks + 7 half sacks) / 3 = 3.5 sacks each.
There are two solutions.
Solution 1
Son 1: 3 full, 1 half-full and 3 empty.
Son 2: 3 full, 1 half-full and 3 empty.
Son 3: 1 full, 5 half-full and 1 empty.
Solution 2
Son 1: 2 full, 3 half-full and 2 empty.
Son 2: 2 full, 3 half-full and 2 empty.
Son 3: 3 full, 1 half-full and 3 empty.
If a piece of rope was tightly wrapped around the earth and you added 3 feet to its length, how high could you uniformly raise it from the earth’s surface?
Just short of 6 inches.
Thanks to Nigel Coldwell for this one.
SO, ND, JF, MA, __, __
What are the next two pairs of letters?
MJ, JA. September, October, November, December…
MJ, JA. September, October, November, December…
Priscilla gave her brother Bruce as much money as Bruce started with. Bruce gave Priscilla as much money as Priscilla had left. Priscilla then gave Bruce as much as Bruce had left, which left Priscilla broke. Bruce had $80.00.
How much money did Priscilla and Bruce start with?
Priscilla: $50
Bruce: $30
Step 1
Priscilla gives Bruce $30
Priscilla: $20
Bruce: $60
Step 2
Bruce gives Priscilla $20
Priscilla: $40
Bruce: $40
Step 3
Priscilla gives Bruce $40
Priscilla: $0
Bruce: $80
Priscilla: $50
Bruce: $30
Step 1
Priscilla gives Bruce $30
Priscilla: $20
Bruce: $60
Step 2
Bruce gives Priscilla $20
Priscilla: $40
Bruce: $40
Step 3
Priscilla gives Bruce $40
Priscilla: $0
Bruce: $80
You will only ever find me in the past. I am created in the present but the future can never taint me. What am I?
History
It comes in on little cat’s feet,
Is neither sour, nor sweet.
Hovers in the air,
And then is not there.
Fog or mist
What 4-digit number abcd satisfies this equation?
4 × abcd = dcba
2178
4 × 2178 = 8712