In the following subtraction problem, each letter uniquely represents one digit from 0 to 9. At least one digit is not 0. Find the values of A, B, and C.
Solution to puzzle 14 Huh, sending more money would have been much easier than this puzzle. SEND MORE MONEY We have to find values for S,E,N,D,M,O,R,Y (8 digits out of 10). Now, we're adding two 4-digits numbers. Since 9999+9999 < 20000, M cannot be >=2. And by the "usual rules" for this kind of question, it can't be 0. So M=1 . Now, looking at the fourth (left-most) column, we have either S+1>=10 (if there's no carry) or 1+S+1>=10 (if there's carry). So S=8 or 9 , and O=0 or 1 . Since 1 is already taken, O=0 In the third column, we can't have E+0=N (no carry), so E+1=N and there's carry from the second column. So in the second column either N+R=10+E=9+N, and R=9, or there's carry and 1+N+R=10+E=9+N, and R=8. So R=8 or 9 , just like S. IF S=8 and R=9,we're looking at 8END + 109E ====== 10NEY But this cannot possibly work: we need to get either E+0=10+N or 1+E+0=10+N i...
On a table, 3 normal playing cards are placed face down. To the right of a king, there is a queen or queens. To the left of a queen there is a queen or queens. To the left of a heart, there is a spade or spades. To the right of a spade, there is a spade or spades. Which three cards are on the table? (Borrowed from the book "The colossal book of short puzzles and problems" by Martin Gardner) Show answer The first rule says that there is atleast one king. Second rule says that there are two queens. (KQQ,QKQ) Third rule says that there is a heart and a spade. And the fourth rule says that there are two spades. (HSS,SHS,SSH) Which means out of three cards, two are queens and one is king. And two are spades and one is hearts. So the four possibilities are KS, QS, QH KS, QH, QS QS, KS, QH QS, KH, QS The fourth is an impossible option as there can't be two queen of spades in a deck. So the three possible answers are King of s...
Image from: Popular Mechanics By now you might have heard many, many, many puzzles of some people always telling truth, and others always telling lies. But in real life, we all neither knights, nor knaves. Anyway this puzzle is slightly different - there are couples and these couples both lie or both tell truth or one lies and other one tells truth. (We all like to believe ourselves to be the last one - wink wink) Dags, Eggs and Fens are being interrogated as one of them is a spy. One of the couples always tells truth. In another couple, both husband and wife always lie. And in the third couple, one of the spouses always lies and the other one always tells truth. Here are the statements by the three couples when interrogated. Mr. Dag: I am not the spy Mrs. Dag: Mr. Egg is the spy. Mr. Egg: Mr. Dag is truthful. Mrs. Egg: Mr. Fen is the spy. Mr. Fen: I am not the spy. Mrs. Fen: Mr. Dag is the spy. Which person is a spy? (This puzzle is take...
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