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# Logic Puzzles

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This is a few logic puzzles that encourage deductive reasoning skills among students. I allow my students to work in groups to determine the correct responses.

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• on page 9...how did you come up with 18? isn't 2 a multiple of it?

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### Logic Puzzles

1. 1. Logic Puzzles<br />
2. 2. If the following statements are all true, who killed Pam and where was Jones in 1997?<br />Jones was either in Hong Kong or London in 1997.<br />If Jones did not kill Pam, then Peter did it.<br />If Pam died of suffocation, then either Jones killed her or Pam committed suicide.<br />If Jones was in Hong Kong in 1997, then Jones did not kill Pam.<br />Pam died of suffocation, but she did not kill herself.<br />
3. 3. Answer<br />Start with statement # 5, Pam died of suffocation.<br />This information should lead you to statement #3 next. From here you should gather that Jones killed Pam.<br />Thus leading to statement #4, Jones was in London in 1997.<br />
4. 4. Four men were in a boat on the lake. The boat turns over, and all four men sink to the bottom of the lake, yet not a single man got wet! Why?<br />
5. 5. THEY WERE ALL MARRIED, or in a RELATIONSHIP!!<br />NONE WERE SINGLE!!!<br />
6. 6. I have a 5 scoop ice cream cone.<br />Each of my 5 scoops is a different flavor of ice cream. <br />The five flavors are blueberry, chocolate, strawberry, vanilla and bubble gum. <br />You don&apos;t know what order my ice cream flavors are from top to bottom. <br />
7. 7. However, here are some clues to see if you can figure out what flavors are from top to bottom: <br />1.The bottom flavor has 10 letters. <br />2. The vanilla scoop touches both the chocolate and blueberry scoop.<br />3. Vanilla is below the chocolate scoop but above the bubblegum scoop. <br />Can you apply some logic to figure out the order of scoops by flavor?<br />
8. 8. From top to bottom, the flavors are: <br /> ChocolateVanillaBlueberryBubblegumStrawberry<br />
9. 9. Mystery Ball Invitations<br />You’re Invited to the <br />MATH MYSTERY BALL!<br />DATE: TBD<br />PLACE: TBD<br />HOST: TBD<br />
10. 10. Figure out the date using the clues below.<br />The date is not a prime number.<br />The date is not a multiple of 5.<br />The date is not a multiple of 2.<br />The date is divisible by 6.<br />If you have eliminated dates correctly, you should have two possible dates left. The date of the “Mystery Math Ball: is the greater number of those two dates.<br />
11. 11. Use the clues to figure out the five digit house number.<br />The house number is an even number.<br />The product of the digits in the one’s place and the hundred’s place is 6. The sum of these two digits is 5.<br />The digit in the ten thousand’s place is the difference between the hundred’s digit and the one’s digit.<br />The ten’s digit is the greatest even digit.<br />The sum of the digits in the ten thousand’s place and the thousand’s place is equal to the digit in the ten’s place.<br />
12. 12. The host is 16 years old and is one of the following people, whose ages range from 14- 18 years.<br />Jill is 3 years younger than John.<br />Jim is younger than Joe.<br />Janet is older than Jill.<br />Jill is not 15 years old.<br />Jim is not the youngest person.<br />John is the second- oldest person.<br />Joe is 2 years younger than Janet.<br />
13. 13. Date: on the 18th<br />House Number: 17382<br />Host: Joe<br />
14. 14. A man was to be sentenced, and the judge told him, “You may make a statement. If it is true, I’ll sentence you to four years in prison. If it is false, I’ll sentence you to six years in prison.”<br />After the man made his statement, the judge decided to let him go free. <br />What did the man say?<br />
15. 15. “You will sentence me to six years in prison.”<br />If the statement is true, the man gets 4 years in prison.<br />Thus making the statement false.<br />If the statement is false, the man gets 6 years in prison.<br />Thus making the statement true.<br />Continuing the cycle of constant true then false.<br />