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APDSMK WEEK 1 PUZZLE CREATIVE THINKING.pptx
1.
Copyright © 2019
UNIMY | Private & Confidential FFGC1013 CREATIVE THINKING
2.
Copyright © 2019
UNIMY | Private & Confidential PUZZLE GAME
3.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 1 There are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. How many ducks are there?
4.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER Three. Two ducks are in front of the last duck; the first duck has two ducks behind; one duck is between the other two.
5.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 2 Five people were eating apples, A finished before B, but behind C. D finished before E, but behind B. What was the finishing order?
6.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER CABDE. Putting the first three in order, A finished in front of B but behind C, so CAB. Then, we know D finished before B, so CABD. We know E finished after D, so CABDE.
7.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 3 • Jack is looking at Anne. Anne is looking at George. Jack is married, George is not, and we don’t know if Anne is married. Is a married person looking at an unmarried person?
8.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER Yes. If Anne is married, then she is married and looking at George, who is unmarried. If Anne is unmarried, then Jack, who is married, is looking at her. Either way, the statement is correct.
9.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 4 A man has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are out and he is completely in the dark. How many socks must he take out to make 100 percent certain he has at least one pair of black socks?
10.
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UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER 40 socks. If he takes out 38 socks (adding the two biggest amounts, 21 and 17), although it is very unlikely, it is possible they could all be blue and red. To make 100 percent certain that he also has a pair of black socks he must take out a further two socks.
11.
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UNIMY | Private & Confidential The Digital Technology University PUZZLE 5 Friday. The “day before tomorrow” is today; “the day before two days after” is really one day after. So if “one day after today is Saturday,” then it must be Friday.
12.
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UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER The day before two days after the day before tomorrow is Saturday. What day is it today?
13.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 6 This “burning rope” problem is a classic logic puzzle. You have two ropes that each take an hour to burn, but burn at inconsistent rates. How can you measure 45 minutes? (You can light one or both ropes at one or both ends at the same time.)
14.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER Because they both burn inconsistently, you can’t just light one end of a rope and wait until it’s 75 percent of the way through. But, this is what you can do: Light the first rope at both ends, and light the other rope at one end, all at the same time. The first rope will take 30 minutes to burn (even if one side burns faster than the other, it still takes 30 minutes). The moment the first rope goes out, light the other end of the second rope. Because the time elapsed of the second rope burning was 30 minutes, the remaining rope will also take 30 minutes; lighting it from both ends will cut that in half to 15 minutes, giving you 45 minutes all together.
15.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 7 You’re at a fork in the road in which one direction leads to the City of Lies (where everyone always lies) and the other to the City of Truth (where everyone always tells the truth). There’s a person at the fork who lives in one of the cities, but you’re not sure which one. What question could you ask the person to find out which road leads to the City of Truth?
16.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER “Which direction do you live?” Someone from the City of Lies will lie and point to the City of Truth; someone from the City of Truth would tell the truth and also point to the City of Truth.
17.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 8 A girl meets a lion and unicorn in the forest. The lion lies every Monday, Tuesday and Wednesday and the other days he speaks the truth. The unicorn lies on Thursdays, Fridays and Saturdays, and the other days of the week he speaks the truth. “Yesterday I was lying,” the lion told the girl. “So was I,” said the unicorn. What day is it?
18.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER Thursday. The only day they both tell the truth is Sunday; but today can’t be Sunday because the lion also tells the truth on Saturday (yesterday). Going day by day, the only day one of them is lying and one of them is telling the truth with those two statements is Thursday.
19.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 9 There are three people (Alex, Ben and Cody), one of whom is a knight, one a knave, and one a spy. The knight always tells the truth, the knave always lies, and the spy can either lie or tell the truth. Alex says: "Cody is a knave.” Ben says: "Alex is a knight.” Cody says: "I am the spy.” Who is the knight, who the knave, and who the spy?
20.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER We know Ben isn’t telling the truth because if he was, there would be two knights; so Ben could be either the knave or the spy. Cody also can’t be the knight, because then his statement would be a lie. So that must mean Alex is the knight. Ben, therefore, must be the spy, since the spy sometimes tells the truth; leaving Cody as the knave.
21.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 10 A farmer wants to cross a river and take with him a wolf, a goat and a cabbage. He has a boat, but it can only fit himself plus either the wolf, the goat or the cabbage. If the wolf and the goat are alone on one shore, the wolf will eat the goat. If the goat and the cabbage are alone on the shore, the goat will eat the cabbage. How can the farmer bring the wolf, the goat and the cabbage across the river without anything being eaten?
22.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER First, the farmer takes the goat across. The farmer returns alone and then takes the wolf across, but returns with the goat. Then the farmer takes the cabbage across, leaving it with the wolf and returning alone to get the goat.
23.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 11 Alice and Ben cross first in two minutes, and Alice crosses back alone with the torch in one minute. Then the two slowest people, Cindy and Don, cross in eight minutes. Ben returns in two minutes, and Alice and Ben return in two minutes. They just made it in 15 minutes exactly.
24.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER Three. Two ducks are in front of the last duck; the first duck has two ducks behind; one duck is between the other two.
25.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 12 Susan and Lisa decided to play tennis against each other. They bet $1 on each game they played. Susan won three bets and Lisa won $5. How many games did they play?
26.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER Eleven. Because Lisa lost three games to Susan, she had lost $3 ($1 per game). So, she had to win back that $3 with three more games, then win another five games to win $5.
27.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 13 If five cats can catch five mice in five minutes, how long will it take one cat to catch one mouse?
28.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER Five minutes. Using the information we know, it would take one cat 25 minutes to catch all five mice (5x5=25). Then working backward and dividing 25 by five, we get five minutes for one cat to catch each mouse.
29.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 14 There is a barrel with no lid and some wine in it. “This barrel of wine is more than half full,” says the woman. “No, it's not,” says the man. “It’s less than half full.” Without any measuring implements and without removing any wine from the barrel, how can they easily determine who is correct?
30.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER Tilt the barrel until the wine barely touches the lip of the barrel. If the bottom of the barrel is visible then it is less than half full. If the barrel bottom is still completely covered by the wine, then it is more than half full.
31.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 15 There are three bags, each containing two marbles. Bag A contains two white marbles, Bag B contains two black marbles, and Bag C contains one white marble and one black marble. You pick a random bag and take out one marble, which is white. What is the probability that the remaining marble from the same bag is also white?
32.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER 2 out of 3. You know you don’t have Bag B. But because Bag A has two white marbles, you could have picked either marble; if you think of it as four marbles in total from Bags A and C, three white and one black, you’ll have a greater chance of picking another white marble
33.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 16 Three men are lined up behind each other. The tallest man is in the back and can see the heads of the two in front of him; the middle man can see the one man in front of him; the man in front can’t see anyone. They are blindfolded and hats are placed on their heads, picked from three black hats and two white hats. The extra two hats are hidden and the blindfolds removed. The tallest man is asked if he knows what color hat he’s wearing; he doesn’t. The middle man is asked if he knows; he doesn’t. But the man in front, who can’t see anyone, says he knows. How does he know, and what color hat is he wearing?
34.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER Black. The man in front knew he and the middle man aren’t both wearing white hats or the man in the back would have known he had a black hat (since there are only two white hats). The man in front also knows the middle man didn’t see him with a white hat because if he did, based on the tallest man’s answer, the middle man would have known he himself was wearing a black hat. So, the man in front knows his hat must be black.
35.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 17 There are three crates, one with apples, one with oranges, and one with both apples and oranges mixed. Each crate is closed and labeled with one of three labels: Apples, Oranges, or Apples and Oranges. The label maker broke and labeled all of the crates incorrectly. How could you pick just one fruit from one crate to figure out what’s in each crate?
36.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER Pick a fruit from the crate marked Apples and Oranges. If that fruit is an apple, you know that the crate should be labeled Apples because all of the labels are incorrect as they are. Therefore, you know the crate marked Apples must be Oranges (if it were labeled Apples and Oranges, the Oranges crate would be labeled correctly, and we know it isn’t), and the one marked Oranges is Apples and Oranges. Alternately, if you picked an orange from the crate marked Apples and Oranges, you know that crate should be marked Oranges, the one marked Oranges must be Apples, and the one marked Apples must be Apples and Oranges.
37.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE 18 A teacher writes six words on a board: “cat dog has max dim tag.” She gives three students, Albert, Bernard and Cheryl each a piece of paper with one letter from one of the words. Then she asks, “Albert, do you know the word?” Albert immediately replies yes. She asks, “Bernard, do you know the word?” He thinks for a moment and replies yes. Then she asks Cheryl the same question. She thinks and then replies yes. What is the word?
38.
Copyright © 2019
UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER Dog. Albert knows right away because he has one of the unique letters that only appear once in all the words: c o h s x i. So, we know the word is not “tag.” All of these unique letters appear in different words, except for “h” and “s” in “has,” and Bernard can figure out what the word is from the unique letters that are left: t, g, h, s. This eliminates “max” and “dim.” Cheryl can then narrow it down the same way. Because there is only one unique letter left, the letter “d,” the word must be “dog.” (For more on this answer, watch the video below.)
39.
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UNIMY | Private & Confidential The Digital Technology University PUZZLE 19 You have five boxes in a row numbered 1 to 5, in which a cat is hiding. Every night he jumps to an adjacent box, and every morning you have one chance to open a box to find him. How do you win this game of hide and seek?
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UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER Check boxes 2, 3, and 4 in order until you find him. Here’s why: He’s either in an odd or even-numbered box. If he’s in an even box (box 2 or 4) and you check box 2 and here’s there, great; if not you know he was in box 4, which means the next night he will move to box 3 or 5. The next morning, check box 3; if he’s not there that means he was in box 5 and so the next night he’ll be in box 4, and you’ve got him. If he was in an odd-numbered box to begin with (1, 3, or 5), though, you might not find him in that first round of checking boxes 2, 3 and 4. But if this is the case, you know that on the fourth night he’ll have to be in an even-numbered box (because he switches every night: odd, even, odd, even), so then you can start the process again as described above. This means if you check boxes 2, 3, and 4 in that order, you will find him within two rounds (one round of 2, 3, 4; followed by another round of 2, 3, 4). For more on this answer, watch the video below.
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UNIMY | Private & Confidential The Digital Technology University PUZZLE 20 The “Monty Hall” problem was made famous when it appeared in Parade magazine’s “Ask Marilyn” column in 1990, and it was so counterintuitive it had everyone from high school students to top mathematical minds questioning the answer—but rest assured, the solution is accurate. Named for the Let’s Make a Deal game show host, the puzzle goes like this: You are given three doors to choose from, one of which contains a car and the other two contain goats. After you’ve chosen one but haven’t opened it, Monty, who knows where everything is, reveals the location of a goat from behind one of the other two doors. Should you stick with your original choice or switch, if you want the car?
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UNIMY | Private & Confidential The Digital Technology University PUZZLE ANSWER You should switch. At the beginning, your choice starts out as a one in three chance of picking the car; the two doors with goats contain 2/3 of the chance. But since Monty knows and shows you where one of the goats is, that 2/3 chance now rests solely with the third door (your choice retains its original 1/3 chance; you were more likely to pick a goat to begin with). So, the odds are better if you switch.
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