what am I
I’m at the beginning of the end
and the start of eternity,
at the end of time and space,
in the middle of yesterday
but nowhere in tomorrow.
What am I?
The letter "e".cleanlogicshort
If you drop me I'm sure to crack, but give me a smile and I'll always smile back.
A bad king has a cellar of 1000 bottles of delightful and very expensive wine. A neighboring queen plots to kill the bad king and sends a servant to poison the wine. Fortunately (or say unfortunately) the bad king’s guards catch the servant after he has only poisoned one bottle. Alas, the guards don’t know which bottle but know that the poison is so strong that even if diluted 100,000 times it would still kill the king. Furthermore, it takes one month to have an effect. The bad king decides he will get some of the prisoners in his vast dungeons to drink the wine. Being a clever bad king he knows he needs to murder no more than 10 prisoners – believing he can fob off such a low death rate – and will still be able to drink the rest of the wine (999 bottles) at his anniversary party in 5 weeks time. Explain what is in mind of the king, how will he be able to do so?
Think in terms of binary numbers. (now don’t read the solution, give a try).
Number the bottles 1 to 1000 and write the number in binary format.
bottle 1 = 0000000001 (10 digit binary)
bottle 2 = 0000000010
bottle 500 = 0111110100
bottle 1000 = 1111101000
Now take 10 prisoners and number them 1 to 10, now let prisoner 1 take a sip from every bottle that has a 1 in its least significant bit. Let prisoner 10 take a sip from every bottle with a 1 in its most significant bit. etc.
prisoner = 10 9 8 7 6 5 4 3 2 1
bottle 924 = 1 1 1 0 0 1 1 1 0 0
For instance, bottle no. 924 would be sipped by 10,9,8,5,4 and 3. That way if bottle no. 924 was the poisoned one, only those prisoners would die.
After four weeks, line the prisoners up in their bit order and read each living prisoner as a 0 bit and each dead prisoner as a 1 bit. The number that you get is the bottle of wine that was poisoned.
1000 is less than 1024 (2^10). If there were 1024 or more bottles of wine it would take more than 10 prisoners.
shortwhat am I
You have me today,
Tomorrow you'll have more.
As your time passes,
I'm not easy to store.
I don't take up space,
But I'm only in one place.
I am what you saw,
But not what you see.
What am I?
What do you call a dog with no legs?
It doesn't matter what you call him, he's not going to come.cleanlogicmath
How can you take 2 from 5 and leave 4?
F I V E. Remove the 2 letters F and E from five and you have IV.shortwhat am I
I eat, I live, I breathe, I live, I drink, I die. What am I?
I can be as thin as a picture frame but my insides have many things you can see. What am I?
What country makes you shiver?
What do you get if you add 3 to 300 five times?
303 , 303 , 303 , 303 , 303