Brain Teasers
The son of a rich bullion merchant left home on the death of his father. All he had with him was a gold chain that consisted of 118 links. He rented a place in the city center with a shop at the lower level and an apartment at the upper level. He was required to pay every week one link of the gold chain as rent for the place.
The landlady told him that she wanted one link of the gold chain at the end of one week, two gold links at the end of two weeks, three gold links at the end of three weeks and so on.
The son realized that he had to cut the links of the gold chain to pay the weekly rent. If the son wished to rent the place for 118 weeks, what would be the minimum number of links he would need to cut?
The landlady told him that she wanted one link of the gold chain at the end of one week, two gold links at the end of two weeks, three gold links at the end of three weeks and so on.
The son realized that he had to cut the links of the gold chain to pay the weekly rent. If the son wished to rent the place for 118 weeks, what would be the minimum number of links he would need to cut?
posted by Varenya at 8:17 PM
6 Comments:
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Hey Varenya!
ye to itni badi kahaani ho gayi..with so many characters- father, son and landlady..it seems like a class 6 puzzle ..I plan to begin working on it soon!
I think the answer for this should be 7 links...he needs to cut them to get a continuous chain of 1 link, 2 links, 4 links, 8 links, 16 links, 32 links, and one of 55 links will be left in the end.(So 7 breakages needed..)Using combinations of these 7 numbers he can pay for each week.
That is..
Ist week-1,
2nd week-2,
3rd-1+2;
4th:4 ;5th:4+1 ;6th:4+2 ;7th:4+2+1 ;8th:8 ;and so on......you can work out n see.....these numbers actually form a GP...
Hey !
Why doesn't anyone post something new?
Seems we are out of maths questions!
Seems like we ARE out of maths problems.
THis is palash,by the way.
4!!!!!!!!!!!!!!!!!!!!!!!!???????????????????
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