Commander

Yes the right answer ! Well done !! Can someone help with diagramatic representation !

Yes, there is another Square possible. On the second point you seem to be on the right track. However the exact cut must be spelt out on the 10 Cm edges.

The Brain Teaser here is about cutting a Perfect Cube [let's take the one with 10 Cms edge] into two equal parts and discussing about the CUT FACE or the newly created SURFACE of the Planar Cut. Obviously for the remnants to be equal and identical the CUT must pass through the CENTRE of the Cube which is a sufficient criteria. We are not bothered about the multi-cuts and their effects such as producung a perfect tetrahedron and four other equal pieces. Now we can see that this single cut can leave a CUT FACE of a Square exactly equal to one face of the Cube. Or can produce a CUT FACE of a Rectangle with one edge and one diagonal as its sides. What is asked is : 1. What is the largest such Square CUT FACE which can be produced. 2. What is the Cut which will result in a HEXAGONAL CUT FACE leaving two pieces having 7 faces or shapes [one Hexagon and six others] ............................ PS : This must be quite easy !

This Poll is closed now ! TY all !!

OK TY

Oh OK, TY swansont , Is it possible to move it to another area like lounge

'Which is the most progressive Human Invention among the following ' What will you pick? https://pollsgo.com/poll?p=ohCWHqd

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Sensei : only 7722 will make it ! Which is also double of 3861

Yes you are to assume that

Yes the reply has not been given though the fact is Mr. Johnson needed to ask it ! Yes a unique Solution is expected !

There is a four-digit number ABCD, where A, B, C, D each represents a different digit from 1 to 9. ABCD is divisible by 13, BCDA is divisible by 11, CDAB is divisible by 9, and DABC is divisible by 7. Can you find the original number ABCD ?

Some children were playing in the Garden. Mr. Johnson asked Mrs. Albert if they were all hers. “No” she replied. “ My children are playing with friends from 3 other Families “. “Our Family happens to be the largest, The Berry Family have a smaller Number of Children, The Charles Family have an even smaller number and the Dickens have the smallest of all”. “How many children altogether ?” asked Mr. Johnson. Mrs. Albert replied , “There are fewer than 18 and the product of the Numbers in the 4 Families happens to be my House number which you already know”. Mr. Johnson asked if there was more than one child in the Dickens Family. Mrs Albert replied. How many children are there in each family ?

As advised by the Moderator the related Puzzle is posted in a separate topic Plz reply to that Puzzle in the new Thread.

I think this puzzle needs to be restated by the proposer again so that any ambiguity is removed ! Also I think the Puzzle is that a,b,c,d are all from digits 1 to 9 [no zero] each unique and you can have a > b> c> d ! The question is to find the smallest 4 digit number which will satisfy this as well as the Conditions stated for Jack, John and James ! >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> As an aside please solve this related Puzzle : Some children were playing in the Garden. Mr. Johnson asked Mrs. Albert if they were all hers. “No” she replied. “ My children are playing with friends from 3 other Families “. “Our Family happens to be the largest, The Berry Family have a smaller Number of Children, The Charles Family have an even smaller number and the Dickens have the smallest of all”. “How many children altogether ?” asked Mr. Johnson. Mrs. Albert replied , “There are fewer than 18 and the product of the Numbers in the 4 Families happens to be my House number which you already know”. Mr. Johnson asked if there was more than one child in the Dickens Family. Mrs Albert replied. How many children are there in each family ?

I thought this was already solved by someone Yes AjkC is absolutely Right ! Well done

Yes, These are the two combinations ! 9 8 4 984 976 288 378 165 7 5 3 753 852 105 80 216 6 2 1 621 431 12 12 336 2358 2259 405 470 717 3025 9 7 6 976 984 378 288 165 8 5 2 852 753 80 105 216 4 3 1 431 621 12 12 336 2259 2358 470 405 717 3025 You are very good in programming ! I have so far been able to use Excel for these Puzzles with success !

Hi Sensei, Yes, a good answer ! I got 3025 and if you can better it it will be interesting ! Is there a Combination for a score more than 3025 ? A more involved Puzzle will be : Your Mission is to find the best score for the pattern a b c d e f g h i where a to i stand for one of 1 2 3 4 5 6 7 8 9 uniquely ! for example 9 7 5 8 4 3 6 2 1 The Pattern Score is calculated as : = Rows – Columns + Product of Diagonals – Product of Corners + Product of Ribs – Product of Diamond + Sum of Corners + Sum of Squares of Diamonds + Cube of the Center Number Which means in the example pattern the Score is : = 975+843+621 –986–742–531 + 9*4*1+6*4*5–9*5*1*6 +8*4*3+7*4*2– 8*7*3*2 +9+5+1+6+8^2+7^2+3^2+2^2+4^3 = 93 Find the Pattern for getting the HIGHEST SCORE !

Your Mission is to find the best score for the pattern a b c d e f g h i where a to i stand for one of 1 2 3 4 5 6 7 8 9 uniquely ! for example 1 2 3 4 5 6 7 8 9 The Pattern Score is calculated as : = Rows–Row Products+Columns–Column Products–Product of Diagonals–Product of Corners–Product of Diamonds Which means in the example pattern the Score is : = 123–6+456–120+789–504+147–28+258–80+369–162–45–105–189–384 =519 Find the Pattern for getting the HIGHEST SCORE !