PP2 GAME

题库2 1--15

1.A mail-order company sells packages of jam,

each containing three jars of jam. The avail-

able flavors are: grape, orange, strawberry,

peach, and quince. Each jar contains exactly

one flavor of jam. Each package must

conform to the following rules:

Each package must contain either two

or three different flavors of jam.

A package containing any orange jam

must also contain at least one jar of

grape.

A package containing any grape jam

must also contain at least one jar of

orange.

Peach jam and quince jam cannot be

packed in the same package.

A package containing any strawberry

jam must also contain at least one jar

of quince, but a package containing

quince jam need not contain

strawberry jam.

Which of the following is an acceptable package?

One jar of peach, one jar of strawberry,

and one jar of orange

One jar of orange, one jar of strawberry,

and one jar of grape

Two jars of strawberry and one jar of

quince

Three jars of peach

Three jars of orange

An acceptable package CANNOT contain

which of the following combinations of jams?

Grape and peach

Peach and quince

Orange and peach

Orange and grape

Strawberry and quince

Which of the following could be packed with

a jar of strawberry to make an acceptable

package?

One jar of peach and one jar of orange

One jar of grape and one jar of orange

Two jars of quince

Two jars of orange

Two jars of grape

A jar of which of the following must be packed

with a jar of orange and a jar of peach to make

an acceptable package?

Grape

Orange

Strawberry

Peach

Quince

Which of the following pairs of jars of jam

could be packed with a jar of orange to make

an acceptable package?

One jar each of orange and strawberry

One jar each of grape and strawberry

Two jars of orange

Two jars of grape

Two jars of strawberry

Which of the following CANNOT be two of the

three jars of jam in an acceptable package?

One jar of strawberry and one jar of peach

One jar of grape and one jar of orange

Two jars of orange

Two jars of grape

Two jars of strawberry

An acceptable package CANNOT contain

two jars of

orange

grape

quince

strawberry

peach

CBCADAE

2.Three women (R, S, and T ) , twomen (U and

V), and four children(W, X ,Y, and Z) are

going to a concert. They have a total of nine

seats for the concert, but the seats are in three

different sections of the hall; they have a

group of three adjacent seats in each section.

For the concert, the nine people must divide

into groups of three according to the following

restrictions:

No adults of the same sex can be

together in any group.

W cannot be in R's group.

X must be in a group with S or U

or both.

IfR is the only adult in one group, the other

members of her group must be

W and X

W and Y

X and Y

X and Z

Y and Z

IfR and U are two of the three people in the

first group, who can be in the second and third

groups, respectively?

S, T, W; V, Y, Z

S, W, Z; T, V, X

S, X ,Y; T, W, Z

T, V, W; S, Y, Z

W, X , Y; S, V, Z

Which of the following pairs of people can

be in the same group as W ?

R and Y

S and U

S and V

U and V

X and Z

Which of the following must be true?

One of the women is in a group with two children.

One of thetwo men is in a group with W.

R is in a group with a man.

T's group includes exactly one child.

One of the groups includes no children.

Any of the following pairs of people could be

InX' s group EXCEPT

R and U

S and T

S and U

S and W

T and U

IfT, Y, and Z are in one group, which of the

following must be together in one of the other

groups?

R ,S, V

R ,U, W

S, U, W

S, V, W

U, V, X

EDCABD

3. A shopkeeper is preparing gift boxes of

candy. Each box will contain exactly two kinds

of hard candy to be selected from F,G, and

H, and exactly three kinds of sot candy to be

selected from P, Q ,R, S, and T, with the

following restrictions:

G cannot be in the same gift box as T.

P cannot be in the same gift box as S.

Q cannot be in the same gift box as T.

IfG is included in a gift box, which of the

following is a kind of candy that must also

be included?

F

H

P

Q

S

IfH isnot included in a particular gift box,

any of the following kinds of candies can be

included EXCEPT

P

Q

R

S

T

Which of the following kinds of candies must

be included in each of the gift boxes?

F

G

H

P

R

IfT is included in a gift box, the box must also

include which of the following kinds of candy?

F and G

F and H

G and H

P and R

R and S

In a gift box that contains an acceptable

assortment of candies, which of the following

substitutions will always result in another

acceptable assortment?

P for S

Q for R

S for R

T for P

T for Q

DEEBA

4. Access to the XRT computer's data sets

is obtained by entering job names into the

computer. Each job name must consist of

a three-word sequence that conforms to

the following rules:

Each word must consist of three,

five, or seven letters.

The letters R, T, and X must each

appear exactly once in each job

name, not necessarily in that order.

The third word must contain more

letters than the second word.

Each word must begin with a

different letter.

Which of the following could be a job name for the

XRT computer?

AXE DIVER BOAST

BOX ROAM NEVER

CALLS EXERT WINDOWS

EXPECT ONE PICTURE

INCOME TAX RETURNS

IfBOXER is the second word in a job name for

the XRT computer, which of the following could

be the first and third words, respectively?

ARM, RUNNING

BID, TAMES

CAMPS, TRAINER

DID, STEAMED

FO X , RENTED

IfEXTRA is the third word in a job name for the

XRT computer, which of the following CANNOT

be the second word?

ACE

BEE

END

FOE

GUM

The sequence of words MOTHS, VE X , MAR is

not a possible job name for the XRT computer.

Which of the following procedures, if performed on

the sequence, produces a sequence that could be a

job name for the XRT computer?

Reversing the order of the letters in a specific

word and removing a specific letter from the

longest word

Reversing the order of the letters in a specific

word and reversing the order of the three

words

Reversing the order of the letters in a

specific word

Reversing the order of the three words

Removing a specific letter from the

longest word

How many letters can the second words in job

names for the XRT computer have?

Three, but they cannot have five or seven

Five, but they cannot have three or seven

Seven, but they cannot have three or five

Three or five, but they cannot have seven

Five or seven, but they cannot have three

CDCBD

5. The manager of a repertory theater company

is planning a schedule of productions for the

company's five-week summer festival. Two

different plays will be scheduled for each of

the five weeks. The ten plays that will be

scheduled are four plays by playwrightR, two

plays by playwright S, two plays by playwright

T, one play by playwrightU, and one play by

PlaywrightV. The scheduling is subject to the

following restrictions:

No two plays by the same playwright

will be scheduled for any of the five

weeks, except for week 3, for which

two plays by playwrightR will be

scheduled.

The play by playwrightV will be

scheduled for week 5.

No play by playwrightS will be

scheduled for the same week

as any play by playwrightR.

Which of the following could be the two plays

scheduled for week 1 ?

Two plays by playwrightR

Two plays by playwrightS

A play by playwrightR and a play by

playwright S

A play by playwrightR and the play by

playwright U

The play by playwrightU and the play by

playwright V

If the plays by playwrightR will be scheduled

for weeks 2,3, and 4,which of the following

must be true?

A play by playwrightS will be scheduled

for week 2.

A play by playwrightS will be scheduled

for week 5.

A play by playwrightT will be scheduled

for week 2.

A play by playwrightT will be scheduled

for week 4.

The play by playwrightU will be sched-

uled for week 1.

If the plays by playwrightS will be scheduled

for weeks 1 and 2, which of the following must

be true?

A play by playwrightR will be scheduled

for week 4.

A play by playwrightT will be scheduled

for week 1.

A play by playwrightT will be scheduled

for week 4.

A play by playwrightT will be scheduled

for week 5.

The play by playwrightU will be sched-

uled for week 4.

Which of the following pairs of plays CANNOT

be scheduled together for any week?

A play by playwrightR and a play by

playwright T

A play by playwrightR and the play by

playwright U

A play by playwrightS and a play by

playwright T

A play by playwrightS and the play by

playwright U

A play by playwrightT and the play by

playwright U

If a play by playwrightS and the play by

PlaywrightU will both be scheduled for the

same week, which of the following must be

true?

A play by playwrightR and a play

by playwright T will both be scheduled

for the same week.

A play by playwrightS and a play

by playwright T will both be scheduled

for the same week.

The play by playwrightU will be scheduled

for week 2.

A play by playwrightS will be scheduled for week 4.

A play by playwrightT will be scheduled for week 5.

DBAEA

6. A woman plans to plant exactly six kinds of

herbs: marjoram, oregano, parsley, rose-

mary, sage, and thyme. She places six pots

side by side in a straight line and numbers

the pots consecutively from 1to 6. She will

plant only one kind of herb in each pot. The

arrangement of the herbs is subject to the

following conditions:

Oregano must be planted in a pot with

a lower number than the pot in which

parsley is planted.

Marjoram must be planted in a pot with

a lower number than the pot in which

thyme is planted.

Sage cannot be planted in pot 1.

Rosemary must be planted in a pot

immediately adjacent to the pot in

which oregano is planted.

Which of the following arrangements of herbs

from pot 1 through 6, respectively, conforms to

the conditions above?

Marjoram, sage, thyme, parsley,

rosemary, oregano

Oregano, parsley, marjoram, thyme,

sage, rosemary

Rosemary, oregano, marjoram, sage,

parsley, thyme

Sage, marjoram, thyme, rosemary,

oregano, parsley

Thyme, oregano, rosemary, marjoram,

parsley, sage

If sage is planted in a higher-numbered pot

than parsley, which of the following must

be true?

Sage is planted in a higher-numbered pot

than oregano.

Sage is planted in a higher-numbered pot

than marjoram.

Sage is planted in a higher-numbered pot

than thyme.

Parsley is planted in a lower-numbered

pot than marjoram.

Parsley is planted in a lower-numbered

pot than rosemary.

If thyme is planted in a lower-numbered pot

than oregano, which of the following must

be true?

Thyme is planted in a lower-numbered

pot than sage.

Thyme is planted in a lower-numbered

pot than rosemary.

Oregano is planted in a lower-numbered

pot than sage.

Oregano is planted in a lower-numbered

pot than rosemary.

Oregano is planted in a lower-numbered

pot than marjoram.

If parsley is planted in a lower-numbered pot

than marjoram, marjoram could be planted in

which of the following pots?

1

2

3

4

6

If oregano is planted immediately adjacent to

thyme, which of the following must be true?

Marjoram is planted in pot 1.

Sage is planted in pot2.

Rosemary is planted in pot3.

Oregano is planted in pot 4.

Thyme is planted in pot 5.

CABDA

7. A doctor has prescribed an exercise program

for a patient. Choosing from exercises P, Q ,

R, S, T, U, V, and W, the patient must per

form a routine of exactly five different

exercises each day. In any day's routine,

except the first, exactly three of the exercises

must be ones that were included in the routine

done on the previous day, and any

permissible routine must also satisfy the

following conditions:

IfP is in a routine,V cannot be done in

that routine.

IfQ is in a routineT must be one of the

exercises done after Q in that routine.

IfR is in a routineV must be one of the

exercises done after R in that routine.

The fifth exercise of any routine must be

either S or U.

Which of the following could be the routine for

the first day of the program?

P, R ,V, S, U

Q ,S, R ,V, U

T, U, R ,V, S

U, Q ,S, T, W

V, Q ,R ,T, S

If one day's routine isP, Q ,W, T, U, each of

the following could be the next day's routine

EXCEPT

Q ,R ,V, T, U

Q ,T, V, W, S

W, R , V, T, U

W, T, U, V, S

W, T, S, P, U

Which of the following is true of any

permissible routine?

Pcannot be done third.

Q cannot be done third.

Tcannot be done third.

R cannot be done fourth.

U cannot be done fourth.

If the patient chooses R and W for the first

day's routine, which of the following could be

the other three exercises chosen?

P, T, U

Q ,S, V

Q ,T, V

T, S, U

T, S, V

IfR is the third exercise in a routine, which of

the following CANNOT be the second exercise

in that routine?

Q

S

T

U

W

CADEA

8. A student is planning his class schedule for the fall and

spring semesters. He must take exactly three courses

each semester. By the end of the spring semester, the

student must complete at least three courses in Area F,

at least one course in Area G, and at least one course

in Area H. The only courses available to the student

are:

Area F: F102,F201,F202,F203

Area G: G101,G102,G103,G201

Area H: H101,H102,H202

The selection of courses is subject to the following

restrictions:

A student can take no more than two courses

with the same letter designation per semester.

Courses with a number designation in the 200's

are offered only in the spring semester;

courses with a number designation in the 100's

are offered in both the fall and spring semesters.

No course taken in the fall semester can be

repeated in the spring semester.

Which of the following is a course

that the student must take?

F102

G101

G102

H101

H102

Which of the following is a possible

schedule for the spring semester?

F102,G101, and F202

F102,G101, and G102

F201,F202, and H102

G101,G102, and G201

G102, G201, and H101

If the student takesG101 and G102

in the fall, his spring schedule must

include

F203

F201 and F202

G201

exactly one course from Area G

exactly one course from Area H

ACE

9. At a cooking school , sixclasses --F, G, H, J,

K, and L--are to be scheduled to meet for one

demonstration each during an all-day seminar.

Each demonstration is 45 minutes long, and

the only possible starting times for theclass

meetings are 9 a.m., 10 a.m., 11 a.m., 2 p.m.,

and 4 p.m. The schedule of class meetings

is to be established in accordance with the

following conditions:

F cannot meet at the same time that

G meets.

H must meet earlier in the day than F.

J must meet in the afternoon.

None of the other classes can meet

at the time thatK meets.

L can meet in the morning or in the

afternoon.

Any of the following could meet at 4 p.m.

EXCEPT

F

G

H

J

K

IfJ meets at some time before K meets, which

of the following could be true?

Fmeets at some time after J meets.

G meets at 4 p.m.

Kmeets at 2 p.m.

Lmeets at 2 p.m.

Lmeets at some time after K meets.

IfF meets at 10 a.m. and none of the classes

meets at 4 p.m., which of the following must

be true?

H meets at some time before L meets.

H meets at some time before K meets.

Kmeets at some time before G meets.

Lmeets at the same time that G meets.

Lmeets at the same time that J meets.

IfH meets at 2 p.m., which of the following

must be true?

Fmeets later in the day than L.

G meets at 2 p.m.

G meets in the morning.

Jmeets at 2 p.m.

Kmeets in the morning.

DBE

10. Two-way roads exist among the following

towns surrounding a mountain:

Between M and N

Between M and O

Between O and R

Between R and T

Between R and U

Between T and P

Between P and S

There is also a one-way road between

town P and town N; the permitted

direction of travel is from P to N.

None of these roads intersect each

other except at the towns.

There are no other towns or roads in

the vicinity.

Bicycles must follow the direction

established for general traffic on

roads.

To bicycle from S to N by road, it is

necessary to go to or through town

M

P

R

T

U

If a rock slide temporarily makes the road

between O and R impassable, then in order

to reach M by road from U, a bicyclist would

have to go to or through a total of how many

other towns besides M and U ?

2

3

4

5

6

If a bridge on the road between M and O

is washed out, making the road impassable,

a bicyclist would NOT be able to go by

road from

N to M

N to S

P to M

P to S

R to M

If a rock slide blocks a lane of the road from

R to T, with the result that travel on the road

can go only one way, from R to T, it will still be

possible to go on a bicycle by road from P to

N and/or S but impossible to go to M, O,

R , T, or U

N,S, and/or T but impossible to go to M,

O, R , or U

M,N, O, and/or T, but impossible to go

to S, R ,or U

M,O, R, S, and/or T but impossible to

go to N or U

M,N, O, R ,S, T, and/or U

Assume that one lane of the road from O toR

Isclosed for repairs, with the result that travel

on the road goes only one way, from R toO.

It will then be possible to travel by road on a

bicycle among any of the towns M, N, O, P,

R ,S, T, and U, among which such travel was

possible before the closing, if which of the

following one-way temporary roads is

constructed?

From M toU

From P to R

From S to R

From S to U

From T to U

IfM is lower and T is higher on the mountain

than any of the other towns in the vicinity and if

N, P, and R are all at the same altitude, the

distance by road going from U to S will be

shortened by building a two-way road along

a level straight line between