The letters from the three words below can be taken apart, unscrambled and merged to form three separate words all of which are synonyms. Can you find them?
CLIMBER MONITOR NIECE
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2. Unscramble
The king of conundrums lives in the MANLIEST CAGE
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3. Something Fishy!?
How long does it take for you to solve weird riddles? Time is passing as we speak...tic...toc! This one involves absolutely no academia. If you don't solve it you might be ill. As far as difficulty is concerned it's my easiest one. Can you solve this?
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4. SO!
What color is her blouse?
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5. Below there are sixteen numbers. Assuming that any three of the numbers may be drawn at random, what is the probability (to the nearest percent) that three numbers will be drawn whose sum equals six?
1 2 3 1
2 3 1 2
3 1 2 3
1 2 3 1
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6. Judy is five times as old as Henry. In two years, she'll be three times as old, and in six years she'll only be twice as old. How old will Judy be in seven years?
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7.
ETS
Which one is the odd one out?
URN URA ARS RTH TER NUS
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8. LET'S SPLIT
Maxwell Edison is studying a newly discovered hyperactive amoeba which multiplies at a highly accelerated rate. He places one such amoeba in a jar. After 15 seconds the amoeba splits. 15 seconds later the two amoebae split. 15 seconds after that the four amoebae split and so on. After two hours the jar is halfway full. How long will it take to fill the jar completely?
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9. GOOD SAMARITAN
463512=a divine service and 3/8 of me is a system or theory. What am I?
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10. Below there are 36 numbers. Assuming that any three of the numbers may be drawn at random, what is the probability (to the nearest percent) that three numbers will be drawn whose sum equals 15?
456745
567456
674567
745674
456745
567456
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11. Orgm lif sca means "work all day."
Habba sca flib means "car does work."
Flib clop orgm means "all she does."
What words would you use to say: "Does she work?" The order that you place the words in is unimportant - you only need to find the correct words to use.
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12. There are 2 identical strings. If you light one of the strings at its end, it will take exactly one hour for it to finish burning completely. The string will not burn evenly - it is thicker in some places, thinner in others. For example, the string may not be half consumed exactly 30 minutes from lighting it at one end. You have no other means of telling time, and you want to know when exactly 45 minutes have passed. All that you have is a lighter and these 2 identical strings. What is the most accurate method you can use, given these conditions?
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For the four puzzles below, pretend you are an alien who had managed to learn the English language, but you do not know what significance the days of the week have. On which day of the week would you assume.
13. You would cook a meal.
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14. You would get paid.
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15. You would get married.
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16. It would be unusually bright.
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17. If there are 4 empty seats in a movie theatre, how many permutations are there for the number of ways 4 people could sit in these seats?
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18. There are 10 socks of each of the following colors in a drawer: blue, green, red, yellow & white, for a total of 50 socks. If the socks are randomly distributed in the drawer (i.e. not in pairs or any other grouping), & you are blindfolded, what is the minimum number socks you must draw from the drawer in order to be certain you have at least 2 socks of the same color?
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19. If you are in the same situation as in the preceding problem, how many socks must you draw from the drawer in order to be certain you have at least 2 socks of different colors?
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20. If none of the following statements are true, who can we conclude broke the vase?
Mike: Sally broke the vase.
Tom: Mike will tell you who broke the vase.
April: Tom, Mike & I could not have broken the vase.
Chris: I did not break the vase.
Erik: Mike broke the vase, so Tom & April couldn't have.
Jim: I broke the vase, so Tom is innocent.
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21. Make a word from boas that can be used to keep you clean.
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22. A man & his family lay out blankets & lie down, watching the sky for hours, even though explosions can be heard nearby. Why?
Hint: The date is important.
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23. A woman steps to the edge of a very high building, & as people look on, she leaps off, & falls several stories. The woman is not injured. Why?
Hint: The woman did not fall on cushions or any other type of softened surface, & was not wearing a parachute.
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24. A man leaves home one night & drives over a mile to meet a friend for a drink. When the man arrives home, the clock shows a time only five minutes later than when he left. How is this possible?
Hint: There is nothing wrong with the clock, & it consistently shows the correct time.
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25. A boy enters a room that is filled with adults. He is told by a man that the court has found that his parents have neglected & abused him, & he will be placed in foster care. However, the boy sleeps in the same house with his parents that night & several nights after that. No further mention is made of his move to foster care. Why?
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26. Three men enter a room filled with gas wearing gas masks. The men voluntarily remove their masks, & begin coughing heavily because of the gas. They do not put their masks back on. The men are not suicidal, so why did they do this?
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27. Spike, an adult, brings the paper to Mr. Hopkins every day. Spike is never paid for this. Why does he do this?
Hint: Spike does not have to bring the paper, but he does not do it entirely because he like Mr. Hopkins.
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28. Toby is celebrating his birthday with his friends & family at a restaurant. "I'd like to have a beer - the best you've got! Today is my sixteenth birthday," Toby says to the waiter. The restaurant manager & several customers hear what Toby says, but he is still served a beer. Why?
Hint: Toby really is sixteen years old.
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29. A woman bets her friends that she can grab the bare wire on a high voltage electric cable & not be injured. How could she possibly do this?
Hint: Electricity of extremely high voltage is flowing through the cable, & cannot be turned off. The cable cannot be cut or removed from the source of electricity.
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30. The fastest runner in school bets a much slower runner that he can beat him in a sprint to a point that is 100 yards away from them. After considering for a minute, the slower runner agrees to the bet, & wins the race. How did he do it?
Hint: Both students actually ran in the race.
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31. Mark's friends & family throw a surprise party for him. Mark is divorced a few months after the party. Why?
Hint: The party was in a town in which Mark does not live.
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32. Two trains, each two miles long, enter two one mile long tunnels that are two miles apart from one another on the same track. The trains enter the tunnels at exactly the same time. The first train is going 5 miles/hour, and the second train is going 10 miles/hour. What is the sum of the lengths of the two trains that will protrude from the tunnels at the exact moment that they collide, assuming that neither train changes its speed prior to collision? The trains are on the same track headed in opposite directions (i.e. directly toward one another).
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33. You have a box that fits inside of a box that fits inside of a box that fits inside of a box that fits inside of a box, for a total of 5 boxes. Assume that no two boxes can fit inside of a box, unless one is inside of the other (e.g. the two smallest boxes could not fit inside of the largest box, unless the smallest box was inside of the second smallest box), & the boxes cannot be altered (e.g. folded, cut, or torn). Using only these 5 boxes, how many different arrangements are there to place a gift in the boxes, if the gift can only be inside of the smallest box that is being used? Example: The gift in the second smallest box inside of the largest box would be 1 arrangement.
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34. Solve the preceding problem for 6 boxes.
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35. If the same functions are applied to reach the results in each of the three sets of numbers, find what number should replace the ? in the last set:
| 21 | 5 | |
28 | 13 | |
16 | 2 | |||
| 24 | 30 | ? | ||||||||
| 17 | 7 | 25 | 7 | 10 | 8 |
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36. You have 1,432 feet of fence that must be strung out in a straight line. A fence post must be placed for every 4 feet of fence, so how many fence posts will be needed?
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37. If you take 7, then 17, & then 8 from me, you have 160. But if you take 6, then 17, then 8 from me, you have 170. Finally, if you take 1, then 4, then 1 from me, you have 762. What am I?
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38. For each of the following equations, letters have been substituted for the numbers. This substitution is consistent throughout all 4 of the equations. Determine what number (from 0-9) is represented by each of the 10 letters.
B. LTEL + EMAO + LAHF MOST HOST
C. ELRO
D. OTTH + OLRF + LETH MORE FORE
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39. I281B4
Determine which of the following letters & numbers completes the sequence above:
S 0 V Q U 22
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40. Without writing anything or using any calculating device, tell me if there are more 2s or 8s to be found in all of the numbers from 1 to 50,000.
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41. If 2 of the following statements are false, what chance is there that the egg came first? Round to the nearest whole percent. Note: If any part of a statement is false, then the entire statement must be false.
A. The chicken came first.
B. The egg came first.
C. A is false, & B is true.
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42. If everyone in Chinaville owns an even number of dishes, no one owns more than 274 dishes, & no 2 people own the same number of dishes, what is the maximum number of people in Chinaville?
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43. Determine which of the following words does not belong:
peck rod feed grain gill
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44. If each letter in the following equations represents a number from 1 through 9, determine what number each letter represents.
A. A+A+B+C = 13
B. A+B+C+D = 14
C. B+B+C+D = 13
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45. Should the letter I be on the top or bottom row?
A H J K
B C D E F G L M N O P Q R S T U V W X Y Z
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46. Complete each of the following statements by filling in each ____ with a word. Don't use reference materials on this one!
A. New York is the big ____
B. An ____ a day keeps the doctor away
C. George Washington cut down the ____ tree
D. As American as ____ pie
E. They say that rabbits have excellent vision because they eat ____
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47. A little girl is in Missouri, & her mother is in California. The little girl is in an accident, & has to be rushed to a nearby hospital. The little girl is the daughter of the nurse who assists her. How is this possible?
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48. You have 8 marbles that weigh 1 ounce each, & 1 marble that weighs 1.5 ounces. You are unable to determine which is the heavier marble by looking at them. You have a weighing scale that consists of 2 pans, but the scale is only good for 2 total weighings. How can you determine which marble is the heaviest 1 using the scale, & in 2 weighings?
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49. A group of 4 people, Andy, Brenda, Carl, & Dana, arrive in a car near a friend's house, who is having a large party. It is raining heavily, & the group was forced to park around the block from the house because of the lack of available parking spaces due to the large number of people at the party. The group has only 1 umbrella, & agrees to share it by having Andy, the fastest, walk with each person into the house, & then return each time. It takes Andy 1 minute to walk each way, 2 minutes for Brenda, 5 minutes for Carl, & 10 minutes for Dana. It thus appears that it will take a total of 19 minutes to get everyone into the house. However, Dana indicates that everyone can get into the house in 17 minutes by a different method. How? The individuals must use the umbrella to get to & from the house, & only 2 people can go at a time (& no funny stuff like riding on someone's back, throwing the umbrella, etc.).
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50. You are in a room with 2 doors leading out. Behind 1 door is a coffer overflowing with jewels & gold, along with an exit. Behind the other door is an enormous, hungry lion that will pounce on anyone opening the door. You do not know which door leads to the treasure & exit, & which door leads to the lion. In the room you are in are 2 individuals. The first is a knight, who always tells the truth, & a knave, who always lies. Both of these individuals know what is behind each door. You do not know which individual is the knight, or which one is the knave. You may ask 1 of the individuals exactly 1 question. What should you ask in order to be certain that you will open the door with the coffer behind it, instead of the hungry lion?
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51. You & I come across 3 people, & each 1 is a knight, knave, or normal (normals sometimes tell the truth, & sometimes lie). Exactly 1 of them is a knight, 1 of them is a knave, & the other 1 is a normal. They make the following statements:
A. I love cats.
B. C always tells the truth.
C. A hates cats.
If I bet you $20 that you could not correctly identify which 1 of these people is a knight, which 'horse' would you be wisest to bet on?
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52. Four individuals made the following statements, & each 1 is a knight or a knave. Which ones are knaves, if any?
A. Hydroponics is a science that deals with fisheries.
B. D always tells the truth.
C. The primary colors in the spectrum are red, yellow, & blue.
D. C always tells the truth.
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53. If you added together the number of 2's in each of the following sets of numbers, which set would contain the most 2's: 1-333, 334-666, or 667-999?
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54. You have 3 baskets, & each 1 contains exactly 4 balls, each of which is of the same size. Each ball is either red, black, white, or purple, & there is 1 of each color in each basket. If you were blindfolded, & lightly shook each basket so that the balls would be randomly distributed, & then took 1 ball from each basket, what chance is there that you would have exactly 2 red balls, and 1 non-red ball?
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55. 8 kips & 14 ligs can build 510 tors in 10 hours, & 13 kips & 6 ligs can build 492 tors in 12 hours. At what rates do kips & ligs build tors? Express your answers in tors per hour.
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56. If a juggler juggles 4 objects, how many total throws must he or she make before the objects are returned to their original positions (i.e. the original 2 objects in each hand)? The juggler starts out with 2 objects in each hand, & throws 1 object from 1 hand, then another object from the second hand, then the remaining object from the first hand, & so on. Except for the first throw for each hand, there is a moment where the throwing hand no longer holds anything after each throw. You may wish to draw a diagram for this one.
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57. A poor man wanted to smoke cigarettes, but did not have enough money to buy them. He found that if he collected cigarette butts, he could make a cigarette from every 5 butts found. He found 25 butts, so how many cigarettes could he smoke?
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58. Having just picked some apples from my tree, I placed them in a basket, & took them around to my friends. I ate one, & then gave a third of the remaining apples to my friend Mike. I then drove to Joe's home, but ate two apples along the way. I gave Joe half of the remaining apples. After Joe's I met Christy, & gave her 10 of the remaining apples, which left one apple. I ate this one later. How many apples started out in the basket?
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59. A man and his son were in an automobile accident. The man died in the accident, but his son was rushed to the hospital. Fortunately, the boy was saved by the doctor who operated on him. The boy was the doctor's son. How is this possible?
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60. In a certain lottery, thirty balls, each one numbered 1, 2, 3......30 are placed in a basket. The basket is shaken, and 5 of the balls are randomly drawn from the basket, and set side by side. The result is a set of numbers in a particular order, such as 14, 26, 2, 9, and 17. If you purchased a ticket that had 5 such numbers in random order, what chance would you have of winning the lottery?
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61. Andy, Brian, Cedric, and Dave are an architect, a barber, a caseworker, and a dentist, but not necessarily in that order. Given the following facts, determine what each man's occupation is:
A. At least one, but not all of the men's names begin with the same first letter as their occupation.
B. The architect's name does not contain an r.
C. The barber and dentist each have names that share exactly one letter.
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62. Three men make the following statements regarding a murder that they are suspected of. Two of the men are lying, & one of them is telling the truth. Exactly one of the men is guilty of the crime. Is anyone definitely guilty or innocent? Which individual(s) is most likely to be guilty?
A. I didn't do it.
B. C did it.
C. A did it.