Diamond stealing puzzle
There were certain diamonds in a shop.
- thief stole half of diamonds and 2 more.
- thief stole half of remaining and 2 more
- same as above
- same as above.
- came nothing was left for that.
how many diamonds were there???
1020 🙂
Why the author said “same as above”?
Because: The steps were:
1.thief stole half of diamonds and 2 more.
2.thief stole half of diamonds and 2 more.
3.Same as above(It means here 1,2 steps repeated again. So the thief stole twice more)!
4.Same as above(It means now more four steps repeated)
As a result the thief actually stole 8 times.
At last there was no diamond left.
So 8th time when the thief stole 2 diamonds there were only two diamonds left!
Now we can guess there were 1,2,3,4,5,6,…….diamonds when the thief stole for the second time!!
But actually there were only 4.
Because the thief stole half of the 4 diamonds=2 and remaining two. And this way he stole 4 diamonds!!
As a result for the nineth time he got nothing.
No other number will satisfy this clue!!
So when the thief stole for the 8th time there were 4 diamonds!!
For 7th time he stole half of the remaining and 2 more.
So there were (4+2)*2=12 diamonds!!
For 6th time he stole half of the remaining and 2 more.
So there were (12+2)*2=28 diamonds!!
For 5th time he stole half of the remaining and 2 more.
So there were (28+2)*2=60 diamonds!!
For 4th time he stole half of the remaining and 2 more.
So there were (60+2)*2=124 diamonds!!
For 3rd time he stole half of the remaining and 2 more.
So there were (124+2)*2=252 diamonds!!
For 2nd time he stole half of the remaining and 2 more.
So there were (252+2)*2=508 diamonds!!
For 1st time he stole half of the remaining and 2 more.
So there were (508+2)*2=1020 diamonds!!
If my initial logic was wrong there were only 4 steps!!
And the answer became 60.
Your Answer
More puzzles to try-
Eight married couples Challenging Puzzle
Eight married couples meet to lend one another some books. Couples have the same surname, employment and car. Each couple ...Read More »Light in room riddle
You are standing in front of a room with one light bulb inside of room. You cannot see whether it ...Read More »Sister 7
There are seven sisters in a house in a village where there is no electricity or any gadget. Sister-1: Reading ...Read More »Strong when white
They are strong when white. They can be easily shaken and weakened, Easily stained and infected; None was found at ...Read More »Find the Key
With the help clues provided in below image, can you find the 5 digit key?Read More »Maximum run in cricket puzzle
In a one day cricket match, There were no wide balls, no wides, no extras and no overthrows. What is ...Read More »What is the chance that the last passenger will get his seat?
There are 100 passengers boarding a 100 passenger airplane. When passenger 1 gets onto the plane, he is dissoriented, so ...Read More »Do you see two faces or a vase?
Do you see two faces or a vase? opRead More »Finding gloves in dark riddle
A lady has some fine gloves and hats in her closet 14 blue,25 red and 45 yellow. The lights are ...Read More »Behind Stars riddle
I can’t be seen, found, heard or smelled. I lie behind stars and under hills, I fill empty holes, come ...Read More »Let’s decode!!
Here’s a new kind of coded puzzle for you to try – a cryptolist! The list of words below all ...Read More »Whats the number
What is a number that when divided by 10 leaves a remainder 9 and when divided by 9 then leaves ...Read More »Does this look like a spiral?
Does this look like a spiral? It’s actually a bunch of concentric circles. Use your mouse to trace one circle ...Read More »Temple and River Riddle
somewhere in the wonder land there are sequence of 7 Temples separated by 7 rivers, Sequence is Temple, River, Temple, ...Read More »Unravel my rhyme
Some will use me, while others will not. Some have remembered, while others have forgot. For profit or gain, I ...Read More »Empty pocket riddle
A pants pocket is empty but still have something in it? How? What is in it?Read More »Rescue! The Frog
A frog is at the bottom of a 30 meter well. Each day he summons enough energy for one 3 ...Read More »Jelly beans Interview Puzzle
You have three jars that are all mislabeled. One contains peanut butter jelly beans(Label :PB), another grape jelly jelly beans(Label ...Read More »Make The Ice Cream
Where do you go to learn how to make ice cream?Read More »I fill a whole room, who am I?
I stand in one place yet I fill a whole room. I can be filled with molten rock and come ...Read More »