PUZZLE-MIND WORKOUT 2


                PUZZLE-MIND WORKOUT 2

HAI GUYS,

                In this Sunday, I am gonna ask two puzzles to you guys it's very simple only. The same condition, don't google it kick your mind solve a puzzle and to find a solution.

OK! today puzzle???

        1. THE WHEEL PUZZLE:

                      Locate the numbers 1 to 19 in the 19 circles, so that wherever there are three in a straight line they shall add up to 30. It is, of course, very easy.


       2.WATER MEASUREMENT:

                      A maid was sent to the brook with two vessels that exactly measured 7 liters and 11 liters respectively. 
She had to bring back exactly 2 liters of water. What is the smallest possible number of transactions necessary? A "transaction" is filling a vessel, or emptying it, or pouring from one vessel to another.

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       😀😀😀COMMENT THE ANSWER BELOW😀😀😀

"I will give you the solutions for these two questions you may expect at next Sunday"

OK!!!! Last Sunday I asked one puzzle I don't know how members are solved but, I hope you may try to solve the puzzle.

Solution:


I will give you the eg: We take the 50th door which was closed initially, On walk 1 the person progresses to open it, on walk 2 the person progresses to close it, on walk 5 he opens it again, on walk 10 he again closes it, on walk 25 he opens it, on walk 50 he toggles the door as close.

So what we observed here is the door which has even no. of factors, the final state of the door will be closed, there is an even number so the final state of the door will be closed and at the same time, if the door which has odd no. of factors, the final state of the door will be opened.

"Our question is all such doors which will remain open at the end of the 100th walk"

There are two methods to solve one is manual and another one is a smart approach

In the manual approach, hard to find but it can.



In a smart approach, lets we consider the previous eg: 50th door.



The factors are 1,2,5,10,25,50 I put the line in center (EVEN NO. OF FACTORS)
you will understand after seeing the image;

We multiply left side number 1 with right side number 50 so we get an answer=50, (2*25, 5*10) vice versa.


Imagine the door number having odd no. of factors for eg: A dual number 'X' which is having 5 factors F1, F2, F3, F4, F5.


We multiply left side number F1with right side number F5 so we get an answer=X, (F2*F4) then F3 is alone now which is at the middle. 



We know that this middle number (F3) also a factor of 'X' so it should be multiplied by the many other factors from these numbers to get the value 'X' since all other factors have already made a pair so for this middle number factor the only way to multiply with that same factor (F3*F3) which is equal to dual number 'X' so what you get multiply a number with itself, we get a perfect square. 

This is a matter which we have considered the numbers what all are the perfect squares, those are odd no. of factors.

EXAMPLE:

36 is the perfect square which has 9 factors, so this is odd no. of factors.

16 is the perfect square which has 5 factors, so this is odd no. of factors.



"SO, THAT IS THE FINAL ANSWER WILL BE THE

NUMBERS WHAT ALL ARE PERFECT SQUARES THAT WILL REMAIN OPENED AFTER 100TH WALKS."

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I know its a complicated question I hope this explanation will be enough to understand for you guys.😃😃😃😃

😃😃😃IN THE BELOW LINK CONTAINS NEXT PUZZLES😃😃😃
https://in-no-way-tive.blogspot.com/2019/06/puzzle-mind-workout-3-hai-guys-todays.html



CLICK THIS LINK FOR PREVIOUS QUESTION:

https://in-no-way-tive.blogspot.com/2019/05/puzzle-hai-guys-from-today-i-took.html



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