Hard Riddles Page 13 of 14
These are some very hard riddles for your pleasure, good luck trying to solve them.
121. If a computer salesman has visited the cities below the amount of times shown, how many times has he visited Delaware?
Pennsylvania = 55
Maryland = 1550
Mississippi = 1004
Delaware = ?
550. Add the Roman numerals that are in each city's name to get the total times visited.
122. A census taker asked a housewife how many people lived in her house and what their ages were. The woman told him that three daughters lived in the house, that the product of their ages was 36, and that the sum of their ages was the number of the house next door. The census taker went next door and looked at the number on the door. When he came back, he told the housewife that the information she had given was insufficient, whereupon she replied, "My oldest daughter is sleeping upstairs." The census taker thanked her and promptly figured out the daughters' ages. What were they and how did he know?
The woman had a 9-year-old daughter and 2-year-old twins. Since the census taker knew both the product and the sum of their ages, confusion could only arise if two or more sets of ages led to the same product and sum. Breaking 36 into three factors, only two sets of ages (9,2,2, and 6,6,1) lead to the same sum of 13. The woman's final piece of information told the census taker that there was only one oldest daughter, not two.
123. While on his way to St. Ives John saw a man with 7 wives. Each wife had 7 sacks. Each sack had 7 cats. Each cat had 7 kittens. Kittens, cats, sacks, and wives, how many were going to St. Ives?
Just John, he met the others traveling from St. Ives.
124. What are the missing numbers in the series below:
31 62 ? 25 56 ? 19 401
93 and 87. When the digits in each number of the sequence are reversed, the sequence is the multiples of 13. 13, 26, 39, 52, 65, 78, 91, 104.
125. A man has $1.15 in six coins. He can't make change for a dollar, a half dollar, a quarter, a dime, or a nickel. What coins did he have?
A half dollar, a quarter, and four dimes.
126. There are ten bags containing marbles. Each bag has at least 10 marbles in it. Nine bags contain marbles that weigh 10 grams each. One bag contains marbles that weigh nine grams each. Each bag has a different number of marbles in it. All of the marbles look exactly the same. How can you find out which bag has the nine gram marbles if the only device you have is a weighing scale which you can use only one time?
Place the bags in one long row. Take one marble from the first bag, two from the second, three from the third and so on. Weigh all the marbles you have taken from the bags. If the total weight ends in 9, then the first bag has the 9 gram marbles. The total for the other bags will end in 0 since 10s are being added. The single digit 9 shows up as the rightmost digit in the sum of all the weights. If the total weight ends in 8, then the second bag is the one with the 9 gram marbles, because 2 times 9 equals 18 and that will be added to the total producing a number ending in 8. A rightmost 7 ( 3 x 9) means it is the third bag with the 9 gram marbles. A 6 (4 x 9) means bag four and so on. In each case the rightmost digit will reveal which bag contains the 9 gram marbles.
127. How can you measure four gallons of water out of a barrel when you only have a three-gallon container and a five-gallon container?
One way is to fill the 5 gallon container, then use it to fill the 3 gallon contain. Now, pour the 3 gallons back into the barrel. Next, pour the 2 gallons that are remaining in the 5 gallon container into the 3 gallon container. Refill the 5 gallon container from the barrel and then pour 1 gallon into the 3 gallon container which now is full. You now have 3 gallons in the 3 gallon container and 4 gallons in the 5 gallon container.
128. You and a friend decide to play a card game. You each have a well shuffled deck of 52 cards and you will take turns turning over one card at a time to see if they match. Starting with complete decks of 52, what are the odds that two cards turned over will match?
One in 52. Let's say your friend goes first. He turns over one of his cards. You, with a deck of 52 only have 1 chance in 52 that you will match his card when you turn one over.
129. What numbers should mathematically replace the question marks?
330 and 41. The top number is calculated by finding the product of the two previous vertical numbers and the bottom number is calculated by the sum of the two previous vertical numbers.
130. A farmer knows that 20 of his hens, housed in 3 coops, will hatch 30 eggs in 18 days. How long will it take 30 hens, housed in 4 coops to hatch the same number of eggs?
You can't shorten the process of egg-hatching by increasing the number of chickens. Therefore, 30 hens will also need 18 days to hatch their eggs.