A matter of $1...

Once A, B & C went to a restaurant. After having tea and light refreshment they asked for bill, the amount of bill was $30.
They decided to pay the bill amount on equal share.
Everybody took out $10 from their pocket and paid the bill.
They were yet sitting and gossiping in restaurant,
Suddenly the waiter realized that the amount of their bill was $25 and not $30.
He took $5 from counter and decided to return it to them.
Then he thought they were 3 how will they share $5 ?
So he decided to keep $2 to himself and return only $3 to them.

He came to their table and returned them $3 with apology.
Everybody took $1 and put in their pockets.

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Now my question is first time everyone paid $10
Later they get $1 refunded.
So everybody paid $9.

$ 9 * 3 = $ 27 ..... 1

The waiter put $2 in his pocket.

$ 27 + 2 = $ 29 ..... 2

So...... Where is the remaining $1 ????

Start thinking, and soon you'll return to the age when you were taught how to add using your

fingers!

-Omkar Ekbote

Hehe.. nice!

The part 27+2=29 does the trick of misleading people into the wrong thinking path.

The waitress should have only 2 becoz 27-25=2. What the waitress get is the difference between what A, B, C paid and the actual price. After all, she pockected some money from them.

If somehow the bill now becomes 30, which is the original price, A, B, C would then take out 1 each and the waitress would take out 2.
1+1+1+2=5 and 25+5=30. Hurrah!

Very Nice. I love a good puzzle. Anyway, here's another puzzle for you braniacs out there. Answer this one.

Find the next three terms in this sequence: 3, 3, 6, 8, 15, 24.....

24?

its 39.. its a fibonacii series..

You're quite wrong there Unitechy.. While this ressembles the Fibonacci Series, this doesn't progress like that beyond the first 3 numbers in sequence. An ideal Fibonacci Series would sequentially progress as the sum of the last two numbers. For example: 0, 1, 1, 2, 3, 5, 8.....

Here the series progresses a bit differently: 3, 3, 6, 8, 15, 24.....

Admittedly, judging by the first 3 in the set, it looks like Fibonacci.. but starting from 4th number it takes a different turn. You'd notice a that from the 3rd term, apart from the sum of last 2 numbers, the term gets padded with a sequence that progresses like 0, -1, +1, +1 ...
Let me clarify this a bit further... (if we start by considering the 3rd term)..
3 + 3 + 0 =6
6 + 3 - 1 = 8
8 + 6 + 1 = 15
15 + 8 + 1 = 24

This is where it gets me baffled... and I can't crack the series being padded to the original sequence.. Maybe an example of the 7th number would help me get at it better... though I have a feeling this series would alternate between 0, -1, +1, +1, -1, 0 ... like that... if that's the case, the 7th term would be..
24 + 15 - 1 = 38

Well, m^e, I've had the same thing as you in mind. However, that way it is quite hard to predict what will go next.

We have:
+0
-1
+1
+1

There are numerous possibilities and we can't find what is being repeated. But here's a guess: +1, +0, -1, +1. It is quite stupid, but that way we would get this sequence:

3 3 6 8 15 24 39 62 102

I might have made a mistake when calculating, but this is one of the possibilities.

hmmm.. might be true.. but its quiet confusing..
at one tme -1 then +1

Heh.. Nice problem there... I think I've heard it before but it's always cool to hear these brain teasers again every now and then..

Very mind boggling!

Got anymore cool brain teasers for us?

Well, except for the 8, it is each number TN where T stands for Term and N is the term number is 3 * FN where F is the Fibonacci term and N is still the same term number. Could it be a typo?

~Viz