MATHS QUIZ NO. 26 LOGIC

[Q.]

Not having a go at you M80's, just bothers me when I can't get an answer - have to finish what I start

[Q.]

Ummm, you probably should post the answers before I punch a hole in something

[magpie in the 80's]

Q1 Five girls, all big baseball fans, met on opening day at the ball park. Once there, each discovered that all the other girls had the same idea she did. All had brought a baseball card of their favorite player or players in hopes of getting autographs (two girls had two favorite players). In addition, each girl’s card(s) was of a different type (one was a "parallel" card). No two girls had the same favorite player. From the provided clues, determine each girl's favorite player or players by the position he plays, his uniform number (including #25) and the type of card brought to the game.

1. No girl brought cards of more than one position. No two girls brought cards of players who play the same position.
2. Sharon brought the "error/corrected" versions of cards which featured her two favorite players, who do not play first base.
3. Players #18 and #27 play the same position.
4. The girl whose favorite player is a third baseman brought a "rookie" card.
5. Lucy’s favorite player is an outfielder.
6. The catcher, #8, is not featured on the "error/corrected" card. He is not Rachel's favorite.
7. Sarah brought two "insert" cards to the game.
8. Tiffany did not bring the "best" card.
9. #29 and #47 are pitchers. #10 is not an outfielder.
Sharon - error/corrected - pitcher - 47 & 29
Sarah - insert - 1st Base - 18 & 27
Lucy - best - Outfielder - 25
Rachel - rookie - 3rd base - 10
Tiffany - parallel - Catcher - 8

Q2 Losstown High School faced numerous challenges in moving to their new semester schedule this year. Just as academic coordinator Robert Purr thought he had solved all the scheduling glitches, several teachers (including Gary O'Brent and Nancy Dale) pointed out that the number of desks in their room did not correlate with the number of students in their largest class. The overworked Mr. Purr assigned the 2 humanities teachers involved (English & History) to gather the information and the 2 analytical teachers (Algebra & Chemistry) to work out a solution. No teacher had more than 30 or less than 20 in their largest class; each largest class was a different size. The algebra teacher pointed out that the original number of desks in the four rooms were four consecutive numbers. Use the following clues to determine the subject taught, the largest class and the original number of desks in the rooms of the four teachers.

1. The number of students in each teacher's largest class has at least 6 whole number divisors. (Example: the whole number divisors of 18 are 1, 2, 3, 6, 9, 18 for a total of 6.)
2. Luke Furrier contributed or received exactly 2 desks.
3. The teacher who originally had 25 desks contributed at least one.
4. A female teacher had the largest class.
5. Both humanities teachers needed desks; neither analytical teacher needed desks.
6. The English teacher contributed or received exactly 4 desks.
7. A humanities teacher originally had exactly 24 desks.
8. Kris Schenkl contributed the most desks.
9. There were originally more desks in the chemistry room than in the algebra room.
Teacher........Subject.........Class Size........Original Desk No.
GARY............ENGLISH.............28................24
NANCY.........HISTORY.............30................27
LUKE...........CHEMISTRY...........24................26
KRIS............ALGEBRA.............20................25

Q3 Five authors have just sent their latest murder stories to the publishers - so we all look forward to reading them soon. In the meantime, however, we intend to completely spoil your enjoyment of the novels, by inviting you to solve the problem of who murdered whom, as well as the motive involved and the location of the story!

1. Neither the butler nor the plumber committed the murder (which took place in Brighton) for the sake of an inheritance.
2. The revenge killing didn't take place in Fishguard or Dunoon. The artist didn't murder the partner (who was neither the victim killed in revenge nor the one murdered as the result of a power struggle).
3. The dentist murdered a cousin (but not for revenge or love) in Halifax.
4. The sister wasn't murdered in Brighton or Fishguard; and the victim in Fishguard wasn't the one killed for the love of someone. The butler didn't murder his partner.
5. In the novel in which the solicitor murders someone, the motive is power, but didn't involve the killing of a friend.
ARTIST - FRIEND - INHERITANCE - BRIGHTON
BUTLER - SISTER - REVENGE - GRANTHAM
DENTIST - COUSIN - BLACKMAIL - HALIFAX
PLUMBER - PARTNER - LOVE - DUNOON
SOLICITER - MOTHER - POWER - FISH GUARD
Q4 One week five bachelors agreed to go out together to eat the 5 evening meals on Monday through Friday. It was understood that Eric would miss Friday's meal because of an out-of-town wedding at which he fervently hoped to catch the bride's garter. Each bachelor served as the host at a restaurant of his choice on a different night. Use the clues below to determine which bachelor hosted the group each night and what food he selected.

1. Carl hosted the group on Wednesday.
2. The fellows ate at a Thai restaurant on Friday.
3. Bill, who detests fish, volunteered to be the first host.
4. Dave selected a steak house for the night before one of the fellows hosted everyone at a raucous pizza parlor.
Monday - Bill - Tacos
Tuesday - Dave - Steak
Wednesday - Carl - Pizza
Thursday - Eric - Fish
Friday - Andy - Thai

Q5 The Detroit Red Wings won their 8th Stanley Cup, the championship of the National Hockey League, in June 1997. During the off-season, the team changed due to trades and injuries. The Wings' locker room manager is a logic puzzle fan, and he decided to give 6 of the players their new locker assignments in the form of a logic problem. The players have different favorite away-from-home arenas around the league, and each has a different favorite drink which he uses to slake thirst during a game. After a game the players all have different favorite soaps with which they shower. Each likes to relax after a game watching a different genre of movie while eating a different favorite meal. For those who wonder which Wings have which favorites, use the clues and the table below to place each player in the correct locker and to determine his favorite arena, drink, soap, meal, and movie genre.


1. One player's favorite away-from-home arena is New Jersey's Byrne Meadowlands; one's favorite game drink is Jolt -- double the sugar, double the caffeine; one's favorite soap is Dial; one's favorite post-game meal is fried chicken; one player likes to watch classical movies best.
2. Kris Draper, who likes Chinese food after a game, uses a locker next to Slava Kozlov.
3. Goalie Chris Osgood's locker is next to that of the player who enjoys pizza with a western after a game.
4. The locker numbers of the Sprite drinker and the skater who is partial to adventure movies differ by 2.
5. The Coke drinker, whose favorite visiting rink is Colorado's McNichols Arena, and the player whose favorite visiting rink is Toronto's Maple Leaf Gardens, both have a locker next to the same player; this player does not like Sprite.
6. Steve Yzerman, whose favorite visiting rink is the Kiel Center in St. Louis, has a locker next to the Safeguard sudser.
7. The one who showers with Irish Spring does not like Calgary's Saddle Dome.
8. The player whose game drink is orange juice enjoys a western after a rough game. His locker is next to the player who relaxes with horror movies.
9. Kozlov lockers next to the player who is partial to Anaheim's Arrowhead Pond.
10. The player who lathers with Lifebuoy has a locker next to both Darren McCarty and the player who scrubs with Zest and guzzles Gatorade.
11. Osgood, the spaghetti eater, and the comedy movie fan (in some order) have 3 consecutive locker numbers.
12. The 2 players whose favorite visiting arenas are the Saddle Dome and the Kiel Center each have a locker next to the skater whose game drink is water.
13. The lockers of McCarty and the player who favors Arrowhead Pond are not adjacent, but there is only 1 locker between them.
14. Igor Larionov and the player who enjoys Coast cascades are locker neighbors.
15. Osgood, the Nachos muncher, has a higher numbered locker than the player who loves steak.
16. The Coke drinker and the mystery movie fan have adjacent lockers.
17. Igor lockers next to the horror movie fan.
18. Both Kris Draper and the Coast soaper locker next to the steak eater.

LOCK 1 - DRAPER - ARROWHEAD POND - GATARADE - ZEST - CHINESE - CLASSIC
LOCK 2 - KOZLOV - BYRNE MEADOWS - SPRITE - LIFEBUOY - STEAK - MYSTERY
LOCK 3 - MCCARTY - MCNICHOLS ARENA - COKE - COAST - CHICKEN - COMEDY
LOCK 4 - LARIONOV - SADDLE DOME - JOLT - DIAL - SPAGHETTI - ADVENTURE
LOCK 5 - OSGOOD - MAPLELEAF GARDENS - WATER - SAFEGUARD - NACHOS - TERROR
LOCK 6 - YZERMAN - KIEL CENTRE - ORANGE JUICE - IRISH SPRING - PIZZA - WESTERN

QUESTIONS ANSWERED ARE IN RED.
QUESTIONS UNANSWERED ARE IN BLUE.

END OF QUIZ