Fruit Plucker

Level pending

David goes to his nearby woods to pluck apples from a tree every day. On this day, he is encountered with a check post and a guard to enter the woods. The guard asks for half of the apples in exchange to let him pass. David agrees on the terms that the guard returns David one apple from the lot that David gives to the guard. He continues to find another check post with another guard. He makes the same promise and continues. Then there is a third check post and guard. Same promise. He finally reaches the tree, plucks a few apples. He fulfils his promise to every guard and still returns home with the same number of apples as he has plucked. How many apples were there?


The answer is 2.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Samruddh Kamath
Apr 2, 2015

Actually first I got ans 10/7 but after thinking a while I got it

Zhang Jie Ang
Nov 30, 2014

Well easy to think if you only have 2 apple you give the guard and the guard return to your so David did not lose any apple.

Nisha Poonia
Jul 18, 2014

suppose in starting there were x apples, equation should be like this:

((x/2+1)/2+1)/2+1=x, (x-1)2=(x/2+1)/2+1, (2x-2-1)2=x/2+1, 4x-6=x/2+1, 4x-7=x/2, 8x-14=x, 7x=14, x=2

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...