BrainDen.com - Brain Teasers # jasen

Members

204

3

## Everything posted by jasen

1. There are some different definition of pandigital numbers, to avoid misinterpretation, lets use this definition : Example : 3421567890 Solve this Alphametric Palindrome : ABCBA Alphametric Palindrome : CBABC ----- x Non Alphametric : pandigit
2. At a class, the students are going to choose a leader. The class has 3 groups of students. Each group contains 4 students. so total students are 12. After discussion, they determine this rule : each students have to vote 1 from each group. so each students have to vote for 3 persons. example: if the groups are [a,b,c,d] [e,f,g,h] [i,j,k,l] each student have to choose 1 from [a,b,c,d], 1 from [e,f,g,h], and 1 from [i,j,k,l] If someone break the rule, his votes is disqualified. (To simplify the problem, lets write just initials of the students, since there is no 2 students has same initials) here are the votes 1. [c,d,f] 2. [a,g,c] 3. [d,h,l] 4. [b,e,d] 5. [f,j,g] 6. [g,j,i] 7. [j,i,a] 8. [j,a,f] 9. [b,h,k] 10.[l,c,d] 11.[a,h,l] 12.[g,e,b] there is 1 vote is disqualified. The Questions : Determine each group members Determine which vote is disqualified.
4. Arrange the digits from 0 to 9 into a 10 digit number (abcdefghij) which follow the rule : a < b > c < d > e < f > g < h > i < j difference between 2 adjacent digits is more than 4 Bonus puzzle : Change the 2nd rule with : The digits follow the pattern : even,odd,even,odd....
5. To get more evidence, a police is trying to hack a crimanal's computer. He find a suspicious transaction file, but it is protected by a password. Than he find a text file "psw.txt" which he thinks contain the needed password. He says "What a fool to save the password here" When he open the text file it is blank. Help the police to reveal the hidden password. psw.txt
6. Sorry, the question is wrong, it should be : I was born just 10 minutes different from my twin brother, But I celebrated my birthday 11 days after my twin brother every year, when was I born ?
7. To avoid the customers' disappointement, the bartender comes up with a solution. He gives each man a glass of cocktail, and explains : If each letter represents a digit, we can write it like this : 1 pepsi + 1 cocacola = 1 cocktail -> 1 * 40497 + 26212681 = 26253178 2 pepsi + 1 cocacola = 1 cocktail -> 2 * 27264 + 58535813 = 58590341 3 pepsi + 1 cocacola = 1 cocktail -> 3 * 20239 + 54515481 = 54576198 4 pepsi + 1 cocacola = 1 cocktail -> 4 * 18153 + 64606420 = 64679032 5 pepsi + 1 cocacola = 1 cocktail -> 5 * 12149 + 73707350 = 73768095
8. I was born just 10 minutes different from my twin brother, But I celebrated my birthday 10 days after my twin brother every year, when was I born ?
9. Thanks Plasmid for your attempt to test this conjecture effectively to 1 trillion. There is a way to check whether a number is pentagonal, square or triangle, by find out the n-th of the number. n-th Pentagon x = (1+sqrt(1+24* x)) / 6, (if n is integer so the number is pentagonal) n-th Square x = sqrt x, (if n is integer so the number is square number) n-th Triangle x = (sqrt(8*x + 1)-1)/2, (if n is integer so the number is triangle)
10. There was 25 kids in a class, every kids had some best friends. To simplify the problem, Let's call each kids with their initial name. here is a list of kids best friends. a : [l,h] b : [k,m,i] c : [f,l,n,j] d : [g,m,o] e : [h,n] f : [c,m,q] g : [d,n,r,p] h : [a,k,q,s,o,e] i : [b,l,r,t] j : [c,m,s] k : [u,r,h,b] l : [u,w,s,i,c,a] m : [f,b,d,j,t,x,p,v] n : [y,w,q,g,c,e] o : [x,r,h,d] p : [w,m,g] q : [x,n,h,f] r : [u,k,g,i,o,y] s : [v,l,h,j] t : [w,m,i] u : [l,r] v : [k,m,s] w : [p,l,n,t] x : [q,m,o] y : [r,n] One day all kids was outside the class room except "a". then his teacher asked "a" to call one of his best friend to enter the room, "a" called "l". then the teacher asked "l" to call one of his best friend outside to enter the room, and so on. after all the call chain, there was no more kids outside, and "s" was the last kids called. determine the call chain !
11. 5 man enter a bar. 1st man order 1 Pepsi + 1 Coca cola 2nd man order 2 Pepsi + 1 Coca cola 3rd man order 3 Pepsi + 1 Coca cola 4th man order 4 Pepsi + 1 Coca cola 5th man order 5 Pepsi + 1 Coca cola But they ask the bartender to give them same amount of drinks. as a logician and mathematician the bartender comes with a solution, he gives each man a glass of cocktail, and they all happy. Explain why the bartender gives each man a glass of cocktail ?
12. http://brainden.com/forum/topic/17786-3-x-3-table-with-constrains/ If we add 2 matrices from the answer of the puzzle, we will get interesting result, all cells have same result (number 10) Is There any logic explanation of this ? 3 6 4 7 4 6 10 10 10 8 9 2 + 2 1 8 = 10 10 10 1 5 7 9 5 3 10 10 10