Commander

Thank you

This Center Number 41 is true for the case of nine 3x3 Magic Squares where 1-81 numbers are placed in such a way as to contain 9 Mini Magic Squares as required in the Puzzle.

The 9x9 Magic Squares use numbers 1 to 81 only once and has the following properties : Each row , column and the two diagonals adds up to 369 and the center most number has to be 41 ! There are many solutions and I give here a sample : We can see that 9x9 Square has nine 3x3 Squares and each of these can be a Magic square with numbers out of the 1 to 81 set. I give below a solution with 9 such 3x3 Squares : It is not possible to have each 3x3 square add up to 123 and the entire row column or diagonal adding to 3x123 = 369 Puzzle : Find the best solution such that each 3x3 Square will add to as close a sum to 123 with the least deviation [less or more] from 123 !

Sorry about the difficulty in reading the text : Tried to enlarge but the System here perhaps limits the size. It can be clicked on to make it bigger though. Quoting is easier if that was a text but it will be less colorful ! Here is the bare text : >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Throughout my Life I have tried to believe in GOD and Science ! When I say GOD I mean the All Powerful Almighty Super Power. If we believe in such a Possibility that GOD is the Cause and Enabler of Everything where 'Everything' stands for the Entire Universe. By 'Science' I refer to the Logical and Provable Methods & Understanding of the Entire Universe and all Laws and Rules and Events. Such being the Enormity of GOD we Humans who are mere Mortals have NO RIGHT TO SPECULATE , CREATE or PONTIFICATE about our Individual or Collective Understanding of GOD or any Religion invoking Beliefs about Past, Current or Future Events or Occurrences ! MAN can not Create GOD but GOD has caused Creation of MAN and the Universe. This must be accepted before we proceed further or else there is no Possibility of Existence of a GOD - at least the kind I have alluded to above ! Therefore it is SAD & FRIVOLOUS for Humanity to Fight over GOD and Religions ! We must seek to find and understand the Religion which is created by GOD and perhaps Science is the ONLY PATH TOWARDS GOD ! >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> I know you like to use words like stupid nonsense etc but do you want me to retort ? You said : In my opinion, man frequently creates gods. And there is no reason to think that god created anything. So it does not have to be accepted. I said what man creates can not be GOD and does not pass the test for God I had indicated & therefore none of that is God at all ! Some Idiots have built a temple for Godse who killed Gandhi & that does not mean Godse becomes God. You say : Nonsense. Here I am doing just that. As so are you. So we have both broken your rule. Perhaps you are doing that but I am not : better read what I said carefully : What am I pontificating about ?

Will put up later after refinement !

imatfaal : Absolutely Right & that is the answer I was looking for and the sequence is 30 , 31 , 32 , 33 for OPTIMUM QUANTIFICATION with negative Symbol Inclusion ! Well done +1 to you

I thought this will be quite a simple puzzle to solve !

Still thinking ! 100110021003 produces 9 234 produces 9 345 produces 3 Well only in the order listed by you that is true That is any three consecutive numbers adding to 6 It only happens if the first number of the series say N is such that N-1, N-4 or N-7 is a multiple of 9 and the rest is simple as explained by imatfaal

I get DE = [ AC2 - AB2 ] / 2 x BC as a General Solution and therefore [42 - 32 ] /2 x5 = 7/10 = 0.7 in this case [the same result found by imatfaal !

There is a formula to find the nth Palindrome of Natural Numbers say to the Base 10. But that nth Palindrome need not be divisible by n. If we can leave out all the Prime Palindromes occurring in between and find the nth Palindrome which is a composite number and see whether that number is divisible by n & if not find a composite prime which has n as a factor !

Yes that's a nice answer ! Anything better ? +1 to you. But I am waiting for the Right answer !

As Rotary Slicing is allowed another Possibility is to press the 120 Deg bent knife at the center and rotate to get three pieces with a single slicing action !

A Hawker sets out to sell his wares in the Market ! In those British Rule days in India Pounds [ Lbs ] are used to weigh the merchandise. The Hawker has a Simple Balance which he uses to weigh his merchandise to sell to his Customers.. But he has only one Measure of Weight which weighs 40 Pounds ! He needed Units of weight with which he can measure out 1, 2, 3 etc upto 40 Lbs in one weighing ! Of Course he can put a weight or pieces of weight in one Pan while the other Pan can contain the merchandise and weights if needed. If he can CUT THE WEIGHT into 40 equal parts each weighing 1 Lb he can weigh out upto 40 pounds in one weighing but then it will be a laborious process. He asked me to cut the 40 Lbs weight into minimum number weights with which he can handle 1,2,3,4,5 etc upto 40 Lbs in one weighing ! How many pieces I had to cut the 40 Lbs weight into and what are the weights of each Piece and how can he weigh out 1,2,3 etc upto 40 Pounds of merchandise in one weighing using those Pieces of Weight ?

I can see this Possibility !

☑ Thank you for your kind words and sharing the steps of your derivation. The elegant Solution was possible as the difference between the divisor and the remainder is constant and in this case 2 A friend of mine who solved it first after I created this puzzle and posted it in a few groups used this elegant method after noting the constant difference.

Well done Imatfaal +1 for you ! What is 22678 composed of ? I reached the solution 2518 in the following way. 2520 being the LCM of [3,4,5,6,7,8 & 9] 2520 will be divided by 3,4,5,6 etc without remainder. 2520-2 = 2518 will be divided by each number with the remainder of 3-2, 4-2, 5-2, 6-2 etc leaving the remainder 1, 2, 3, 4, etc.

It can be found in both ways. Not a guess work but a logical and progressive calculation. Also there is a straight forward mathematical derivation too ! Goodluck.

Good try. It works upto division by 7 but not for 8 & 9. You are on the right track. This is a very simple Puzzle which I had half a mind to edit and pull off. I will continue to work and create a tougher puzzle !

Can you find a number such that If the number is divided by 3 , the remainder is 1 If the number is divided by 4 , the remainder is 2 If the number is divided by 5 , the remainder is 3 If the number is divided by 6 , the remainder is 4 If the number is divided by 7 , the remainder is 5 If the number is divided by 8 , the remainder is 6 If the number is divided by 9 , the remainder is 7

The World might be a BETTER or WORSE Place without Religion - one can not predict but the World will certainly be a Better Place with Religious Harmony !

I thought OP stands for Original Post. Perhaps we can also add OMG for Oh My God which I did not see in the list. A Summary : 50 Popular Internet & Texting Acronyms. List of Internet Acronyms And for Texting and WhatsApp : 50 Popular

TY +1

This is an excellent move and will help to reduce Spam & abuse of one another. No one has any Right to abuse or use harsh words against anyone bcoz no one comes to this site and participates to go back with hurtful feelings. Whatever be the Grade, qualification or Pretense of the Participant be. To be fair this should equally be applicable to all and therefore Mods, Staff etc should also not be allowed to abuse or spam against anyone just bcoz they seem to be in power. Retort to abuse or a tit for tat reaction to abuse may be treated less severely. Motivated Rep markings + or - must also fall under the category of Spam / Abuse. Perhaps the Moderators can review / revoke such spiteful markings.

Yes. It is almost like that !