### Brain Teasers

# Kebab Farmer

In the legendary country of MADADIA, there once lived a kebab farmer. One day, he had 1000 freshly grown Kebabs to package and 10 empty boxes into which to put them.

He asks his assistant Norris O'Cabbage to place all the one thousand Kebabs in all the 10 boxes in such a manner that if a customer asks for any number of Kebabs from 1 to 1000, Norris should be able to pick them in terms of boxes.

How did Norris O'Cabbage place all the Kebabs among the ten boxes, given that any number of freshly harvested Kebabs can be put in one box.

He asks his assistant Norris O'Cabbage to place all the one thousand Kebabs in all the 10 boxes in such a manner that if a customer asks for any number of Kebabs from 1 to 1000, Norris should be able to pick them in terms of boxes.

How did Norris O'Cabbage place all the Kebabs among the ten boxes, given that any number of freshly harvested Kebabs can be put in one box.

### Answer

1, 2, 4, 8, 16, 32, 64, 128, 256, 489Let's start from scratch.

The Kebab farmer can ask for only 1 Kebab, so one box must contain 1 Kebab.

He can ask for 2 Kebabs, so one box must contain 2 Kebabs.

He can ask for 3 Kebabs, in which case box one and box two will add up to 3 Kebabs.

He can ask for 4 Kebabs, so one box, i.e. a third box, must contain 4 Kebabs.

Now using box number one, two and three containing 1, 2 and 4 Kebabs respectively, Norris can give up to 7 Kebabs. Hence, the fourth box must contain 8 Kebabs.

Similarly, using first four boxes containing 1, 2, 4 and 8 Kebabs, Norris can give up to 15 Kebabs. Hence, the fifth box must contain 16 Kebabs.

You must have noticed one thing: that each box till now contains power of 2 Kebabs. Hence the answer is 1, 2, 4, 8, 16, 32, 64, 128, 256, 489. This is true for any number of Kebabs.

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