Temple Puzzle

Problem:

Mr. X has gone to Temple A, B.C. These temples are having magic pond in each. It will double the thing, whatever you have in your hand, when you come out of the pond. (e.g. if you have Rs.1/- in your hand, and when you come of pond, you will have Rs.2/- in your hand)


Mr. X is having certain number of flowers. The terms and conditions of this quiz is that you have to surrender equal number of flowers to each temple and when you come out of Temple C, no flower should be in your hand.


Please find out how many flowers Mr. X was having with him when he entered into Temple A and how much flowers has he surrendered at each temple.



Solution:

     8X-7Y  =  0
     8X        =  7Y
           X    =  7/8Y     
    =>  X    =   7  when Y = 8 

Which can be generalized as X = 2^n - 1 and Y = 2^n          

Cut Gold Puzzle

You've got someone working for you for seven days and a gold bar to pay them. The gold bar is segmented into seven connected pieces. You must give them a piece of gold at the end of every day. If you are only allowed to make two breaks in the gold bar, how do you pay your worker? 

Solution: 

            Let us consider the gold  bar like this, 

 Lets split the chain as,

 
           Day 1: Give A.(+1)
           Day 2: Get back A, give B.(-1, +2)
           Day 3: Give A.(+1)
           Day 4:Get back A and B, give C. (-2,-1,+4)
           Day 5:Give A. (+1)
           Day 6:Get back A, give B. (-1,+2)
           Day 7:Give A.(+1)