top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

How many minimum trips are needed?

0 votes
185 views

There is an Island of puzzles called puzzles-world where numbers 1 - 9 want to cross a river.
There is a single boat that can take numbers from one side to the other.
However, maximum 3 numbers can go at a time and of course,
the boat cannot sail on its own so one number must come back after reaching to another side.
Also, the sum of numbers crossing at a time must be a square number.
You need to plan trips such that minimum trips are needed.

How many minimum trips are needed ?

posted Jan 30, 2018 by Sidharth Malhotra

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

4 trip from island to other side is enough.
Let me give representation :
1,2,3,4,5,6,7,8,9 there at island initially.

Transit=》sum
1,2,6 sums to 9,a square transit,
1 a square comes back,
1 3 5 summing 9 transit,
1 3 summing 4 comes back,
1 7 8 summing 16 transit,
1 comes back,
3 4 9 summing 16 transit
1,2,3,4,5,6,7,8,9 there at other end now.

answer Jan 30, 2018 by Varun Bankapur



Similar Puzzles
0 votes

All the rivers are magical, moment a worshiper crosses a river with any number of flowers, it becomes double. (For eg 1 flower becomes 2 flowers, 2 become 4 and so on).

How many minimum number of flowers a worshiper needs to carry from beginning such that he offers equal number of flowers in all the three temples, and he is left with zero flowers at the end of fourth river.

0 votes

There are (n+1) people in a party, they might or might not know each others names.

There is one celebrity in the group(total n +1 people), celebrity does not know any of n peoples by name and all n people know celebrity by name.

You are given the list of people's names(n+1), You can ask only one question from the people. DO YOU KNOW THIS NAME ?

HOW MANY MINIMUM NUMBER OF QUESTIONS YOU NEED TO ASK TO KNOW THE CELEBRITY NAME?

NOTE: assume all names are unique.

+1 vote

There are 1000 wine bottles. One of the bottles contains poisoned wine. A rat dies after one hour of drinking the poisoned wine. How many minimum rats are needed to figure out which bottle contains poison in hour?

+1 vote

enter image description here

There are 13 caves arranged in a circle. There is a thief hiding in one of the caves. Each day the the thief can move to any one of of the caves that is adjacent to the cave in which he was staying the previous day. And each day, you are allowed to enter any two caves of your choice.

What is the minimum number of days to guarantee in which you can catch the thief?

Note: Thief may or may not move to adjacent cave. You can check any two caves, not necessarily be adjacent. If thief and you exchange your caves, you will surely cross at some point, and you can catch the thief immediately.

+1 vote

Anya is a clever trader of rare artifacts. Each day she carries three boxes with each filled with thirty artifacts. The boxes cant hold more than that. She travels far of northern lands to sell these artifacts but on way, she comes across thirty checkpoints where she has to shed one of the artifact for each sack to the authorities for letting her pass.

How many artifacts will be left with her when she reaches her destination crossing all the check points ?

...