Quantity Words

Front 1

All

Back 1

every single member of an IDed group

Front 2

Diagram the statement: All shellfish contain cholesterol

Back 2

S-->C

Front 3

Unless

Back 3

"except", used to describe a necessary condition

Front 4

Diagram the statement: Wendy will not go unless Kim goes

Back 4

W --> K

Hint 4

If Wendy goes, then Kim goes

Front 5

Whenever

Back 5

every single occurence

Front 6

Diagram the statement

Whenever you eat shellfish, you ingest cholesterol

Back 6

S --> C

Front 7

Only

Back 7

indicates a necessary condition

Front 8

Diagram the statement:

Only people who pass the bar can practice law

Back 8

L --> B

Hint 8

If a person practices law, then she passed the bar

Front 9

Only if

Back 9

also indicates a necessary condition

Front 10

Diagram the statement:

Only if Dawna passes the bar can she practice law

Back 10

Hint 10

If Dawna practices law, then she passed the bar

Front 11

No

Back 11

not a single member of a group

Front 12

Diagram the statement: No comets give off light

Hint 12

If it is a comet, it does not give off light

Front 13

None

Back 13

not a single member of a group

Front 14

Diagram the statement:

None of the toddlers is napping

Back 14

Hint 14

If she is a toddler, she is not napping

Front 15

Make this a sufficient-necessary statement:

None of the recipes includes ginger

Back 15

If this is a recipe, it does not use ginger

Front 16

Diagram the statement:

None of the recipes includes ginger

Back 16

Front 17

Diagram the contrapositive:

None of the recipes includes ginger

Back 17

Front 18

Make this a sufficient-necessary statement:

Elba will not play unless Jack plays

Back 18

If Elba plays, Jack plays

Front 19

Diagram the statement:

Elba will not play unless Jack plays

Back 19

Front 20

Diagram the contrapositive:

Elba will not play unless Jack plays

Back 20

Front 21

Make this a sufficient-necessary statement:

Only if Jack plays will Elba play

Back 21

If Elba plays, Jack plays

Front 22

Diagram the statement:

Only if Jack plays will Elba play

Back 22

E --> J

Front 23

Diagram the contrapositive:

Only if Jack plays will Elba play

Back 23

Front 24

Make this a sufficient-necessary statement:

Every male student wears a tie

Back 24

If this is a male student, he wears a tie

Front 25

Diagram the statement:

Every male student wears a tie

Back 25

Front 26

Diagram the contrapositive:

Every male student wears a tie

Back 26

Front 27

Diagram the fact pattern:

7 law firms occupy 7 floors of a 70-story building, with each law firm occupying exactly one floor

Back 27

Front 28

Diagram the fact pattern:

2 children, a boy and a girl, are playing dress-up. They have 10 pieces of clothing. Each piece is a solid color: purple, green or orange. There are 3 pants, 3 shirts, and 3 pairs of shoes, with one of each color. There is also 1 purple hat.

Back 28

Front 29

Diagram the fact pattern:

4 tribes--A, B, C, and D--occupy certain circular areas w/in a country of Fera. Part of tribe A intersects tribe C. Part of tribe B intersects tribe C. Tribe A does not intersect tribe B. Tribe D occupies a small area completely w/in the territories of both tribes A & C.

Back 29

Front 30

Diagram the fact pattern:

Each of 7 senators--A,B,C,D,E,F & G--is a member of 1 of 3 political parties: Democratic, Republican or Green. 2 are Democratic, 2 are Republican, & 3 are Green. Each senator voted for or against a certain bill

Back 30

Front 31

Diagram the fact pattern:

6 travelers--A,B,C,D,E,&F--sit in 6 seats on the right side of an airplane. The seats are in rows numbered 1 to 3 from front to back. Each row has 2 seats: a window seat & an aisle seat.

Back 31

Front 32

Diagram the fact pattern:

10 cards numbered 1 to 10 are laid on the table in 2 symmetrical columns, w/ the even numbers on the right from 2 at the top of the column to 10 at the bottom. Odd-numbered cards are arranged on the left from 1 at the top of the columns to 9 at the bottom. Each card is 1 of 4 suits: heart, club, spade or diamond.

Back 32

Front 33

Diagram the fact pattern:

9 people--A,B,C,D,E,F,G,H,&I--share an opera box. There are 9 seats in the box, w/ 3 seats on the left, 3 in the middle, & 3 on the right. Each row has seats numbered 1 to 3, w/ seat 1 being the closest to the stage.

Back 33

Front 34

Diagram the fact pattern:

8 books-A,B,C,D,E,F,G,H--occupy 3 shelves of a bookcase, w/ 1 book on the top shelf, 3 on the middle shelf, & 4 on the bottom shelf.

Back 34

Front 35

Diagram the fact pattern:

7 basketball players--A,B,C,D,E,F,G--will be assigned positions for a game as follows:

3 will play forward positions & 2 will play defensive positions

Back 35

Front 36

Diagram the fact pattern:

8 lab students-A,B,C,D,E,F,G,H--will perform 3 experiments. 3 students will create a model volcano, 2 students will create a windmill, and 3 students will create a wave machine. No student will perform more than 1 experiment.

Back 36

Front 37

Diagram the fact pattern:

In a museum exhibit, there are 8 paintings hanging on 2 walls that face each other, 4 on each wall. Each painting is done in 1 of 3 mediums: acrylic, oil, or watercolor.

Back 37

Front 38

Diagram the fact pattern:

A waiter seats a group of 5 diners-A,B,C,D,&E--at a circular table. There are 6 evenly spaced seats at the table.

Back 38

Front 39

Diagram the fact pattern:

A florist creates bouquets for 3 customers. Wendy & Izzy each get a bouquet w/ 3 flowers. Katie gets a bouquet w/ 2 flowers. The florist has 7 kinds of flowers to choose from: roses, daisies, tulips, carnations, sunflowers, lilies, and orchids.

Back 39

Front 40

Diagram the fact pattern:

4 jrs--A,B,C&D--and 4 srs--R,S,T&U--are paired w/ each other as lab partners. Each pair has 1 jr & 1 sr.

Back 40

Front 41

Diagram the fact pattern:

4 buildings--A,B,C&D--will be inspected, 1 per day, each by a fire marshal & by a city inspector

Back 41

Front 42

Create a master diagram:

7 art critics--A,B,C,D,E,F,&G--review 3 paintings, 1 by Howe, 1 by Iams, & 1 by Janssen. Each critic reviews only 1 painting, according to the following constraint:

-Twice as many critics review the Iams painting as review the Howe painting.

-F & G review the same painting

-C reviews the Iams painting

Back 42

Front 43

Create a master diagram:

Each of 5 herbalists--M,N,O,P,&R--carries at least 1 of 4 herbs--basil, cilantro, dill, and fennel. The following constraints apply:

-N carries only dill and fennel

-M carries more herbs than N

-P carries more herbs than any other store.

-M carries cilantro & is 1 of 2 stores that do

-O and R do not carry any of the same herbs

Back 43

Note: it is still unknown how many herbs are carried by O & R

Front 44

Create a master diagram:

Each of 7 relatives at a wedding--A,B,C,D,E,F,&G--is seated at 1 of 3 tables: the bride's, the groom's or the children's. The following constraints apply:

-Each table must seat at least 1 of the 7 relatives.

-Exactly 1 table seats exactly 2 relatives

Back 44

Front 45

Create a master diagram:

Exactly 4 people are assigned to each of 2 cars. Exactly 3 adults--A,B,&C--and 5 children--P,Q,R,S,&T--must be assigned to the cars according to the following constraints:

-Each car must have an adult driver

-R & T must be assigned to different cars

Back 45

Front 46

Create a master diagram:

A psychologist has to see 7 patients--A,B,C,D,E,F&G--over a period of 2 days--Mon & Tues. The following constraints apply:

-The psychologist will see 3 or 4 patients on Monday, & the rest on Tuesday

-A cannot be seen on the same day as E.

-B must be seen on Tues

-D & G must be seen on the same day

Back 46

Front 47

Create a master diagram:

From a group of 7 astronauts--A,B,C,D,E,F,G--exactly 4 will be selected for a mission. The following constraints apply:

-Either A or B must be selected, but not both

-Either E or F must be selected, but not both.

-E cannot be selected unless C is selected

Back 47

Front 48

Create a master diagram:

8 students--A,B,C,D,E,F,G,H--go to see three films: a western, a comedy, and a drama. The following constraints apply:

-No more than 3 students may see any 1 film

-Exactly 2 students see the western film

Back 48

Front 49

Create a master diagram:

Each of 7 people--A,B,C,D,E,F,G--plays either tennis or baseball. 4 play tennis and 3 play baseball. The following constraints apply:

-If B plays tennis, C plays baseball

-D and E do not play the same sport

-F and G do not play the same sport

Back 49

Front 50

Create a master diagram:

A group of 7 board members--A,B,C,D,E,F,andG--will be divided into 2 committees: planning and finance. The following constraints apply:

-If C Cserves on finance, then D and E both serve on planning

-F serves on a diff committee from the one on which G serves

-A serves on a diff committee from the one on which E serves

Back 50

Front 51

Create a master diagram:

7 gifts--A,B,C,D,E,F,G--are placed in 3 gift bags--purple, red, or striped--according to the following constraints:

-each gift bag contains at least 2 gifts

-Gift B cannot be placed in the same bag as either gift A or C

-The striped gift bag contains exactly 3 gifts, including gift B

Back 51