Error processing SSI file
Error processing SSI file

Error processing SSI file

MILK JUGS: The milkman filled the three gallon jug, and then emptied the contents into the five gallon jug.  He then filled the three gallon jug again, and continued to fill the five gallon jug until it was full.  The milk remaining in the three gallon jug was precisely one gallon. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   SOCKS and SHOES: Three socks and four shoes would guarantee that you would have a matching pair of each.  Since there are only two colors of socks, it doesn't matter how many are in the heap, as long as you take at least three, you are certain to have two of the same.  As for the shoes, you must pick four, because selecting only three could result in one shoe in each of the three colors! RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   PLAYING CARDS: OR RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   TRUE STATEMENTS: Option "C" is the answer: three statements are false.  Since each statement concludes that there is a different number of false statements, that proves that only one statement can be correct (hence the object is to decide which statement is true).  Given that one statement is true, by definition, the other three must be false! RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   FOUR DIGIT NUMBER: 1349 RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   TRAINS: They were 95 miles apart 30 minutes before the two trains crossed each other. Since one train is traveling at 105 MPH, and the other at 85 MPH, the relative speed is 190 MPH (105 + 85).  One hour (or 60 minutes) before they crossed, they would have been 190 miles apart.  Since the question asked how far away they were 30 minutes before they crossed, then it would be half that distance, or 95 miles. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   MATH PUZZLE: The answer is 27.  Once you assume that 9 is twice 5, you conclude that 5 = 4.5 (9/2).  Therefore, 6 times 4.5 is 27. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   LOGICPOEM: F R U I T RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   TWIN BROTHERS: Answer: Would your brother say that you tell the truth? The key to this logic problem, is to find a question that the two brothers would answer differently, and that difference would therefore identify the two from each other.  The lying brother would answer the above question "yes."  The truthful brother would answer the same question "no." RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   THREE BOXES: The box that must be opened is the one labeled "apples and oranges."  By definition, whichever fruit is inside, is the only fruit type that that box contains.  Let's say that you found an apple in that box that was labeled with both apples and oranges; because you know it must therefore only contain apples, then you conclude that the box that is labeled "oranges" cannot contain only oranges, as all boxes have been said to be mislabeled.  Thus, the box labeled "oranges" must contain both apples and oranges, leaving the box labeled "apples" to contain only oranges. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   BOY or GIRL: The black-haired child is a girl, and the red-haired child is a boy. If at least one is lying, and there is one of each sex on the bench, then both must be lying.  If only one was lying, then there would be two children of the same sex.  Since the latter would not be following the given rules, then it is concluded that each child is of the opposite sex that they say they are. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   FOOTBALL POSITIONS: Since Bill is Ken's father-in-law, both Bill and Ken must be married.  This leaves the only remaining person, Mark, to be the bachelor (and hence the kicker).  Since Bill is taller than the receiver, Bill must not be the receiver.  By process of elimination, we conclude that Bill is the quarterback.  The remaining position (the receiver) goes to Ken. Therefore, Bill is the quarterback, Ken is the receiver, and Mark is the kicker. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   THREE SPIES: Bertie is the mole.  Both Albert and Cedric are telling the truth.  Hence, when Albert said, "Bertie is a mole," he was telling the truth, and giving you the correct answer.  When Bertie said, "Cedric is a mole," he was lying, as he himself is a lying mole.  When Cedric responded, "Bertie is lying," he was telling the truth, and also affirming that Bertie was lying. In the second case, if there were 2 moles, the identifications would be a direct inverse.  Both Albert and Cedric would be moles, and Bertie would be telling the truth. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   RIVER CROSSING: The man first takes the chicken across, leaving it on the other side.  He returns alone in the canoe and picks up the bag of grain.  After bringing across the grain, he takes the chicken back to the original side, dropping him off, and picking up the fox.  After bringing the fox to the other side, and leaving it with the grain, the man returns back to the original side, retrieving the chicken, and making his 3rd and final trip crossing the river.  At no point was the fox left alone with the chicken, or the chicken with the grain. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   12 MARBLES: First, weigh all 12 marbles, 6 on each side of the scale (weighing #1).  Whichever side is heavier, take those 6 marbles and weigh 3 on each side (weighing #2).  Again, whichever side is heavier, take those 3 marbles, placing 1 to the side, and weighing the other 2, one on each side of the scale (weighing #3).  During this weighing, if one marble weighs heavier than the other, the answer is obvious, and so too, if they balance perfectly, then the marble you put to the side is the heavier marble! RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   HOW OLD?: The man is 52 and his wife is 39. The puzzle refers to the man as once being as old as the wife is "now."  This gives you the first important piece of information; the man is older than the wife.  Second, you know that the two ages will add up to 91.  Third, you know that their difference in age is a constant variable.  You can't, however, assume that they are close in age, but they must both be middle aged, otherwise it would be difficult to generate a number as high as 91 under the parameters of the problem. So, after gathering this information, and some guess and check work, you'd find that the man is now twice the age (52) of her age (26) when he was the age she is now (39). RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   CUT THE CAKE: Make the first two cuts as cross-sections, making 4 equal pieces.  The third and final cut is made horizontally through the middle, making a total of 8 pieces. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   WHAT'S MY ADDRESS?: My address is 1460 Sunset Boulevard.  First, you know that the house numbers are even and consecutive, so they must be approximately 1/6th the value of the sum (8790). In fact, the number that is 1/6th the total is the mean (average) for all 6 houses!  This number, 1465 (8790 / 6), is how you come to the conclusion.  There must be 3 house numbers greater than that number, and 3 house numbers less than that number, all being even and consecutive. Therefore, the 6 house numbers are 1460, 1462, 1464, 1466, 1468, 1470.  The lowest house number, as per the question, is the answer: 1460. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   PUZZLE SOLVING: Yes.  There are only 2 puzzles being spoken of: this one, and the one before this one.  The entire question could be rephrased like this: If the puzzle you solved before this one was harder than this one, was the puzzle you solved before this one harder than this one? Obviously, the answer to the question is simply yes. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   BURNING ROPES: First start burning rope 1 at both ends, and rope 2 at one end only.  When rope 1 finishes burning (which will take 30 minutes), light the other end of rope 2.  45 minutes is up when rope 2 finishes burning. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   PENNIES: There is an 85% probability that Mary dropped a penny.  There are two (and only two) combinations of 50 coins that will add up to $1.00.  These are: 40 Pennies, 2 Dimes, 8 Nickels, and 45 Pennies, 2 Dimes, 2 Nickels, 1 Quarter With the first scenario alone, there would be a 80% probability, and the second scenario alone equates a 90% probability, respectfully.  But because we don't know which she had, the probability is the average of the two, or 85%. RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE   WHO DONE IT?: Nicole was telling the truth; Jessica broke the monitor. If only 1 of the 4 was telling the truth, that means that the other 3 were lying.  By using deductive reasoning, one would conclude that the only possibility with the presented facts is that Jessica was lying when she said, "It wasn't me," Sandy was lying when she said, "It was Nicole," and Melissa also lied when she said, "No, it was Sandy."  This leaves Nicole as the truth-teller, revealing Jessica as the culprit, having stated a direct lie when she said "It wasn't me!" RETURN TO PUZZLE RETURN TO LOGIC HOME PAGE RETURN TO HOME PAGE     This page was last modified on Variable 'LAST_MODIFIED' cannot be evaluated at Variable 'LAST_MODIFIED' cannot be evaluated Error processing SSI file