Model Test5 625 A if the quantity in Column A 1s greater;
B if the quantity in Column B is greater;
C if the two quantities are equal;
D if the relationship cannot be determined from the information given
Column A Column B Column A Column B A A E | be’ B C D B AB = AC and EC = ED x = 40 and y = 80 AB ~ BC BD 1 AC = AC 13 3x 2z 15 << lex Oo y = 65 and z= 40 14 x ABM CD 75
Directions: Each of the Questions 16-30 has five answer choices For each of these questions, select the best of the
answer choices given 16 How many 5¢ stamps can be purchased for c 18 If 3x= 2 y, then 5y = E| cents? E (A) Sc (A) x (B) = (B) 2x 5 (C) 3.6x (C) = (D) 5x C (E) 18x (D) 500c
(E) Sc 19 What is the radius of the largest circular disc that
100 M| can be cut from a strip of metal 15" x 21"?
17 Points B and C lie on line AD so that AB = BC = (A) 7" (B) 15" (C) 15"
EE} CD What part of AD is AC?
1 1
I l 2 2 3 (D) 155" (E) 1575"
— = “ £ = 2 2
Trang 2626 Model Test 5
20 By how much is 5 larger than 20 percent of 2? 22 How many times greater is the tax rate for schools
M El than the tax rate for the community college? l l 4 3 4 (A)se (B) = (C) > (D) 35 (E) 35 (B) ° (C) 24 (D) 38 (E) 48
Questions 21-25 refer to the following table and graph
23 What is the annual tax paid for schools by a property
YOUR PROPERTY TAX BILL E| owner whose house has a taxable value of $10,000?
Tax Rate per $100 (A) $24.85
Tax Levy Description of Taxable Value (B) $248.50
School 24.856 (C) (D) $24,850.00 $2,485.00
Community College 0.654 (E) $248,500.00
Library 1.458 a
Police 6.815
Water Supply 0.380 24 What part of the school budget 1s allocated for text-
Sewer Maintenance 0.674 E| books and other teaching material? Sewage Disposal 1.211 Parks 0.039 (A) 5 General County 3.683 General Town 0.860 (B) Ì Fire 0.640 3 (C) 4 WHERE THE SCHOOL TAX GOES 4 l 1 (D) g ; 2s 40% % ro 3 ez BS 23
35% + < œ x “ = 25 If the amount of money spent for maintenance of
< 42 © M| school buildings is represented by $D, then the
mt Wry Wy Z 8 P
| t9 ¢& > SG So r amount of money spent for miscellaneous school
30% tri] < = 2 Z c S % items 1s expressed as SERIE) — LH z QA am xa fo fe 8 (A) $20D 25% + mm © TT” tr 7 tri Hs GEE 4< (B) $15D Như yo Sm REERE ¬ moms OS ORES ¬ 3 20% + ng s ©œ ng Đ (C) $4D statetetateteta ml stateteteretete œ coos [HA = secon = 4 M00501 s03! — C0555 D =D 15% 7 REEEESS “ Z nh (D) $3 eed im Se <Ð SN O ng EERE ee (E) $14D 3 10% † EE EE eee ee Se h _ 99449 ORO, Ee OU et Se Oe siete yl || |
21 What is the ratio of taxpayers’ money spent for
El teachers’ salaries to taxpayers’ money for the sal- 26 In the figure above, how many square units are there
Trang 3Model Test5 627
27 How many 3-gallon cans can be filled with the milk 29 How many ounces of water must be added to 48
M| from 165 one-pint containers? (2 pints = 1 quart; 4 Mj ounces of alcohol to make a solution that is 25%
quarts = | gallon) alcohol? (A) 3 (A) 16 (B) 4 (B) 48 (C) 5 (C) 64 (D) 6 (D) 144 (E) 7 (E) 192
28 The size of the smaller angle between the hands of A D
M} the clock at half past six, expressed in degrees, is ' 4 (A) 15 BE C (B) 15 ———2°—— ]
(C) 225 30 In the figure above, if BC = 26, AE = 4,
(D) 30 HỊ AB = DC =5,AE 1 BC and AD 1s parallel to BC; AD =? (E) more than 225 but less than 30 (A) 3 (B) 6 (C) 20 (D) 23 (E) none of these S T O P
Trang 4628 Model Test 5
SECTION 3
Time—30 Minutes
25 Questions
Directions: Each question or group of questions is based on a passage or set of conditions In answering some of the questions, it may be useful to draw a rough diagram For each question, select the best answer choice given
Questions 1—4
Mrs F, official hostess of New York City, has invited several wives of delegates to the United Nations for an
informal luncheon She plans to seat her eleven guests
so that each lady will be able to converse with at least the person directly to her right or left She has prepared the following list 1 Mrs Mrs Mrs Mrs Mrs Mrs Mrs Mrs Mrs Mrs Mrs Mrs No G3
F speaks English only
G speaks English and French H speaks English and Russian J speaks Russian only
K speaks English only
L speaks French only
M speaks French and German
N speaks English and German O speaks English and French
P speaks German and Russian
Q speaks French and German R speaks English only
Which of the following arrangements will meet Mrs F’s requirement? I FOLMPJHKGQNR Il FRNLPKHIGMQO Il] FRGJHOLMQPKN (A) Tonly (B) If only (C) II only (D) [and II only (E) I and III only
If the ladies seated to the right of Mrs P are, respec-
tively, MGHKFO, who must sit at Mrs P’s left hand? (A) J (B) L (C) N (D) Q (E) R
If seven of the ladies have seated themselves in the
following order: NGFROMQ, who must be the next lady seated? (A) H (B) J (C) K (D) L (E) P H GN 4 Mrs F has decided upon the following seating arrangement: RKGQNFOLMPJH
At the last minute, Mrs H and Mrs P inform the
hostess that they will not be able to attend Which of the following adjustments will allow Mrs F’s seat-
ing requirements to be met?
I Seat Mrs J between Mrs K and Mrs G
II Seat Mrs J between Mrs Q and Mrs F
HI Seat Mrs J to the right of Mrs N (A) Ionly
(B) ill only
(C) Tor I only (D) THỊ or HI only
(E) Neither I,II, not III
Senator Johnson: No argument for this bill is valid, because no one would argue for this bill without
having an ulterior motive: namely, the desire for per- sonal gain
The bill’s sponsors would be committing the same error In reasoning as Senator Johnson if they
responded by saying:
(A) Of course we have ulterior motives It is per-
fectly reasonable to support a bill in order to promote our personal interests
(B) The fact that passing a bill would benefit its sponsors does not mean that the bill should not be passed
(C) The fact that Senator Johnson has substituted a
personal attack for a discussion of the merits
of the bill leads us to suspect that he can offer no strong arguments against it
(D) Senator Johnson has no valid reason for oppos-
ing our bill; he is doing so only because we
helped defeat his pork-barrelling bill last month
(E) Everyone is always motivated in part by a desire for personal gain; Senator Johnson is no
Trang 5Father: My daughter could be a star on Broadway if she could only get one big break Why, you should see the rave reviews she received when she was the lead in her high school play
=)
ON
The best way to counter the argument above would be to point out that
(A) big breaks are hard to come by on Broadway
(B) one big break does not ensure continued success
in the theater
(C) the standards on Broadway are much higher than they are at the high school level
(D) fewer plays are being produced on Broadway today than in the past
(E) relatively few aspiring actors ever become
Broadway stars
—¬ Most persons who oppose gun control are conserva-
M| tives; therefore, since Kathleen favors gun control,
she is probably not a conservative The above argument most resembles which of the following?
(A) Most sociology professors are liberals; therefore Dr Williams, who is a liberal, is probably a sociology professor
(B) Most corporation presidents own country homes;
if Ms Steeples is a corporation president, she may or may not have a country home
(C) Few major publishing firms publish much poetry; since Flame Press publishes only
poetry, it is probably not a major publishing
firm
(D) Most sports cars are extremely expensive; since the new Venus Leopard is not a sports car, it is probably inexpensive
(E) Most desert plants are cacti; therefore the
cholla, a desert plant, is probably a cactus
Questions 8-11
The Homer Museum of American Art is open daily
except Monday from 11 A.M to 5 p.m Tuesdays and
Thursdays the museum remains open until 8 p.M The spring special exhibitions are: “Albert Pinkham Ryder, A Retrospective;’ which is on view from Friday, April
24, through Sunday, May 31, in the Pollock Wing; “Pre-
cursors of Thomas Eakins,” from Friday, May 8,
through Sunday, July 6, in the Third Floor Gallery; and
“The Hudson River School,” in the John Twachtman
Gallery, which is closed Tuesdays, from Friday, May 1, through Sunday, May 24 only The Pollock wing is
closed Thursdays during May \© 11 Model Test5 629
If Dan can visit the museum only after 5 P.M or on Saturday, and does not wish to view more than one
special exhibition in a day, he can see all three spe-
cial exhibitions in the briefest time by starting with
(A) “The Hudson River School” on a Thursday
(B) the Ryder Retrospective on a Saturday
(C) “Precursors of Eakins” or the Ryder Retrospec-
tive on a Tuesday
(D) “Precursors of Eakins” on a Thursday
(E) any exhibition on a Saturday
Ellen wishes to visit the three special exhibitions on successive Thursdays This is possible only if she
visits
I the Ryder Retrospective in April
II “The Hudson River School” second
III “Precursors of Eakins” immediately following the Ryder Retrospective
(A) IT only
(B) II only
(C) I and II only
(D) II and III only
(E) I, Il, and Ill
Ralph can visit all three special exhibitions on one day if he goes on
I any Saturday in May
II the second, third, or fourth Saturday in May
III any Tuesday or Friday between May 5 and May
22
(A) I only
(B) II only
(C) III only
(D) I and III only (E) II and III only
Terry visits the museum on an afternoon six days
after the opening of “The Hudson River School.” Which of the special exhibitions may he visit?
I The Ryder Retrospective IJ “Precursors of Eakins”
Il ‘The Hudson River School” (A) I only
(B) III only
Trang 6630 Model Test 5 Questions 12—18
At a symposium on the possible dangers of the industrial chemical PBX, three pro-industry spokespersons are to be seated to the left of the moderator and three critics of PBX to the right of the moderator The speakers are Drs Albert, Burris, Cathode, Durand, Ettis, and Felsenstein
(1) The person delivering the paper “Epidemiological
Aspects of PBX” is seated immediately
between Dr Albert and Dr Durand
(2) The persons delivering “Public Health and PBX”
and “Radiological Aspects of PBX” are close
friends and insist on sitting together
(3) Felsenstein is placed two seats to the left of the
moderator
(4) As heavy smoking is repugnant to the moderator, she insists that the person delivering “PBX:
Benign or Malignant,” a heavy smoker, be
seated at one end of the table
(5) Cathode, delivering ““The Impact of PBX on the Environment,” is seated to the left of Felsenstein (6) Albert, a critic of PBX, is seated to the left of EttIs 12 The pro-industry spokespersons are
MÍ (A) Albert, Felsinstein, Durand
(B) Felsenstein, Burris, Albert
(C) Cathode, Felsenstein, Ettis (D) Albert, Burris, Durand
(E) Cathode, Felsenstein, Burris
13 The person seated immediately to the left of the M| moderator is (A) Albert (B) Burris (C) Cathode (D) Durand (E) Ettis
14 Assuming it is one of the papers delivered at the
M| symposium, “PBX and the Digestive Tract” must be by (A) Albert (B) Burris (C) Durand (D) Ettis (E) Felsenstein
15 Given the seating rules as stated, which of the num- M| bered statements are logically sufficient to establish
the position of Dr Ettis and the title of the paper she delivers? 16 The symposium is expanded to include a seventh M| speaker If he is seated exactly midway between
Cathode and the moderator, he will sit
(A) to the left of the author of “Radiological
Aspects of PBX”
(B) one seat to the right of the moderator (C) two seats to the right of Durand
(D) three seats to the left of Albert
(E) four seats to the left of the author of “PBX: Benign or Malignant” 17 The symposium is expanded to include two more M| speakers The seventh speaker is seated at one end
of the table If the eighth speaker is seated exactly midway between Durand and the author of “Public
Health and PBX,” which of the following must be true? (A) The eighth speaker must be seated at one end of the table (B) Burris must be the author of “Radiological Aspects of PBX.”
(C) The eighth speaker must be seated on the same side of the moderator as Felsenstein
(D) The moderator must be seated next to the author of “Public Health and PBX.”
(E) The eighth speaker must be seated immediately to the left of Ettis
° Which of the following cannot be determined on the
H| basis of the information given?
I The author of “Public Health and PBX”
H The title of the paper delivered by Durand
II The identity of the two friends who insist on being together (A) T only (B) I only (C) III only (D) Iand H only (E) II and HII only Questions 19—22 A is the father of two children B and D, who are of dif- ferent sexes C is B’s spouse
E is the same sex as D
B and C have two children: F, who is the same sex as B, and G, who is the same sex as C
E’s mother, H, who is married to L, is the sister of D’s
mother, M
E and E’s spouse, I, have two children, J and K, who are the same sex as I
No persons have married more than once, and no chil-
dren have been born out of wedlock The only restric-
tions on marriage are that marriage to a sibling, to a
direct descendant, to a person of the same sex, or to
Trang 720 According to the rules, D can marry M 21 22 H (A) F only (B) G only (C) J only (D) J or K only (E) EK J,orK If L and H divorced, H could marry I Donly Il F HI DorG (A) Tonly (B) If only (C) HII only
(D) Tor ÍI, but not both
(E) If or III, but not both
If the generation of F and K’s parents and their sib- lings contains more females than males, which of the following must be true?
(A) There are more females than males in F and K’s
generation
(B) J is male
(C) Ais the same sex as D
(D) K and G are the same sex
(E) D is H’s nephew
Questions 23-25
The internal combustion engine, which powers all pri-
vate motorized vehicles, should be banned It burns up
petroleum products that are needed to produce plastics,
synthetics, and many medicines Once all the oil is
gone, we will no longer be able to produce these valua- ble commodities Yet we do not have to burn gasoline to
Satisfy our transportation needs Other kinds of engines could be developed if the oil companies would stop
blocking research efforts 23 24 Model Test5 631 The argument above depends on which of the follow- ing assumptions? I We are in imminent danger of running out of oil
II Alternative methods of producing plastics will
not be found before the oil runs out
III If they so desired, the oil companies could
develop methods of transporation not based on the burning of petroleum
(A) I only
(B) II only
(C) Land II only (D) IL and III only (E) I, II and III
The argument above would be most weakened by the development of which of the following?
(A) An internal combustion engine that operated on one-tenth the gasoline used in a normal engine (B) A car that operated on solar energy stored In special batteries (C) A method of producing plastic that used no petroleum products (D) A synthetic oil with all the properties of natural oil (E) A means of locating numerous undiscovered oil fields
The argument above would be most strengthened if
which of the following were true?
(A) One of the oil companies has suppressed the
discovery of an engine that burns only
alcohol
(B) Some of the medicines that require petroleum
for their production help to control and cure several of the world’s most deadly diseases
(C) The world’s current oil reserves are about half of what they were 30 years ago
(D) In high-pollution areas, automobile exhaust
fumes have been shown to cause high rates of
lung cancer and heart disease
(E) When gasoline is burned inside an auto engine,
less than one-fourth of the energy produced is used to propel the vehicie
S T O P
Trang 8632 Model Test5 Numbers: Figures: SECTION 4 Time—30 Minutes 30 Questions
All numbers used are real numbers
Position of points, angles, regions, etc., can be assumed to be in the order shown; and angle measures
can be assumed to be positive
Lines shown as straight can be assumed to be straight
Figures can be assumed to lie in a plane unless otherwise indicated
Figures that accompany questions are intended to provide information useful in answering the questions
However, unless a note states that a figure is drawn to scale, you should solve these problems NOT by estimating sizes by sight or by measurement, but by using your knowledge of mathematics (see Example 2 below)
Directions: Each of the Questions 1-15 consists of two quantities, one in Column A and one in Column B You are to compare the two quantities and choose
A if the quantity in Column A is greater; B if the quantity in Column B is greater;
C if the two quantities are equal;
D if the relationship cannot be determined from the information given Note: Since there are only four choices, NEVER MARK (E) Common
Information: Ina question, information concerning one or both of the quantities to be compared is centered above the two columns A symbol that appears in both columns represents the same thing in Column A as it does in Column B Column A Column B Sample Answers Example 1: 2x 6 2+6 @đ@@@đ@â Examples 2-4 refer to A POR R PA y° w/z° P N Q Example 2: PN N @đ@@@đâ
(since equal measures cannot be assumed, even though PN
Trang 9A if the quantity in Column A is greater; B if the quantity in Column B is greater;
C if the two quantities are equal; Model Test5 633 D if the relationship cannot be determined from the information given Column A Column B Area of circle = i 1 Radius of circle 0.5 a=b=c 2 a+b b+c
3 The number of integers The number of integers
from —5 to 5 inclusive from 5 to 15 inclusive Or=y X 1S a nonzero integer 4 x y XK B C Area of ABC = 18 5 AB BC Lj | B C ABCD 1s a parallelogram 6 AD + BC AB + DC A ⁄À B C AB= BC =AC and AD = DC x » 1, 3 5 Column A Column B A D E B C G F AB = BC, and DE = EF = FG = DG Area of right triangle ABC
equals area of square DEFG AB 9 ae DG v2 M m C D n BE A B m is parallel to n 10 Area of ABC Areaof ABD |M A NE AB = AC = BC AC BD=DC H1 Yel 2 M
12 The time required to The time required to
cover 3 mile traveling cover 3 mile traveling
at 20 miles per hour
at 30 miles per hour | fy A B C ABCD is a line segment and BE 1 CE x+y 90
13 The number of revolu- The number of revolu- tions made by the tions made by the
wheel of a bicycle wheel of a motorcycle (diameter of + feet) (diameter of + feet)
covering a distance of covering a distance of 70 feet 100 feet M X+Y+Z= 350 X+Y =100 All unknowns > 0 14 Z X M Distance from X to Y = 3 miles
Distance from Y to Z = 2 miles
15 Distance from X to Z Distance from X to Y
Trang 10
634 Model Test 5
Directions: Each of the Questions 16—30 has five answer choices For each of these questions, select the best of the
answer choices given
16 Potassium nitrate is composed of 39 parts potas- 20 Which of the following numbers does not have a E| sium, 14 parts nitrogen, and 48 parts oxygen Find E| reciprocal?
the percentage (to the nearest %) of potassium in (A) 1 potassium nitrate (B) —2 (A) 14 | (B) 39 (C) 3 (C) 45 (D) 48 (D) 0 (E) 62 (E) 3 17 A rectangular field 100 feet long is twice as long as it
E| is wide The number of feet of fencing needed to
enclose the field is
(A) 150
(B) 300 Questions 21—25 refer to the following chart
(C) 400
(D) 500 NUTRITIONAL VALUE OF SOME
(E) 600 DAIRY PRODUCTS
A SIZE IZE OF PORTION P RIES Grams) grams
Milk, whole I glass (8 0z.) 160 9
Milk, skim or buttermilk l1 glass(äoz) 90 9
Milk, chocolate drink I glass(80z.) 190 8
Cheese, American or 1” cube or med slice SWIS (loOz.) 110 8 Cheese foods, Cheddar- 2 tablespoons (1 0z.) tp 90 6 B C Cheese, cottage, 2 tablespoons (1 oz.) creamed 30 4
Cheese, cream 2x1x“" or2tbsp 110 2
18 Inthe triangle above, BC equals one half of AB The Buter | tablespoon (⁄20z.) 100 -
E| area of right triangle ABC equals 64 square feet To ¬ ae — small pat s0 |
the nearest foot, what is the length of hypotenuse AC? Cream heavy, poem ng
whipped | heaping tablespoon 50 — (A) 12 Half-and-half 4cMP 80 2 (B) 14 Ice cream, vanilla V4 pint (’Acup) 145 3 I as f (C) 18 ala mode - ¬ Medium scoop (4 pint) 115 2 (D) 24 Sherbert cúp 130 (E) 32
21 How many tablespoons of light cream have the same
E| number of calories as 8 ounces of buttermilk?
(A) 2 (B) 3 (C) 4
19 In the figure above, if x = ky, and k is a constant, (D) 5
E| what is the missing value of y in the table? (E) 6
(A) 5 22 How many calories of cream cheese would there be
E| in the amount needed to furnish the same number of
Trang 1123 Which of the following has the greatest number of
E calories per pound? 24 E (A) Whole milk (B) Buttermilk (C) Swiss cheese (D) Cottage cheese
(E) Chocolate milk
Which of the following has the smallest number of
calories per ounce?
(A) Cottage cheese
(B) Cheddar-type cheese
(C) Swiss cheese
(D) Butter
(E) Whole milk
Which of the following furnishes the greatest num- ber of grams of protein per unit weight? (A) Whole milk (B) Cottage cheese (C) Butter (D) Chocolate milk (E) American cheese Ifx+y=16, thenx-z= (A) z+ 16 (B) 8 (C) l6-y (D) z(16 - y) (E) 16-y-z The ingredients for making 5 dozen cookies, as l 3
given in a recipe, are | egg, 2 Cup shortening, 3 cup sugar, Ì teaspoon flavoring, l5 cup sifted
flour How much flour would be needed in order to make 20 cookies? l (A) q cup l (B) 2 Cup (C) 32 cups 4 CHP (D) 45 cups (E) 6 cups 28 M If a and b are positive integers and Model Test5 635 Which of the following statments is (are) always true? I Aroot of a negative number may be a real number
II The positve square root of a number is small-
er than the number
II A binomial multiplied by a binomial yields a
trinomial
(A) I only
(B) II only
(C) III only
(D) II and III only
(E) all are true a-b_ 4 then 3.5 7 (A) b<a (B) b>a (C) b=a (D) bZa (E) bSa 10° means the 10 is to be used as a factor x times,
and 10 means 10": A very large or very small
number, therefore, is frequently written as a deci-
mal multipled by 10*, where x is a postive or a
negative integer Which, if any, of the following is false? (A) 470,000 = 4.7 x 10° (B) 450 billion = 4.5 x 10”! (C) 0.00000000075 = 7.5 x 107!° (D) 86 hundred-thousandths = 8.6 x 10° (E) None of these S T O P
Trang 12636 Model Test 5
SECTION 5
Time—30 Minutes
30 Questions
Numbers: All numbers used are real numbers
Figures: Position of points, angles, regions, etc., can be assumed to be in the order shown; and angle measures can be assumed to be positive
Lines shown as straight can be assumed to be straight
Figures can be assumed to lie in a plane unless otherwise indicated
Figures that accompany questions are intended to provide information useful in answering the questions However, unless a note states that a figure is drawn to scale, you should solve these problems NOT by estimating sizes by sight or by measurement, but by using your knowledge of mathematics (see Example
2 below)
Directions: Each of the Questions 1-15 consists of two quantities, one in Column A and one in Column B You are to
compare the two quantities and choose
A if the quantity in Column A is greater;
B if the quantity in Column B 1s greater;
C if the two quantities are equal;
D if the relationship cannot be determined from the information given
Note: Since there are only four choices, NEVER MARK (EB)
Common
Information: Ina question, information concerning one or both of the quantities to be compared is centered above the
two columns A symbol that appears in both columns represents the same thing in Column A as it does in Column B Column A Column B Sample Answers Example 1: 2x6 2+ 6 @®OO® Examples 2-4 refer to A POR R </M y° w5/ z° P N Q Example 2: PN NQ OROROK KG
(since equal measures cannot
Trang 13A if the quantity in Column A is greater; B if the quantity in Column B is greater; C if the two quantities are equal;
D if the relationship cannot be determined from the information given Column A A AA: D IC Model Test5 637 Column B B AC LAB, AC L DC AB =4, EB=5, DC=12 9 AC DC Column A Column B a=3,b=9 2 — x2 aˆ—b b-a E a<b -2a —2b E 1 1 (1813) 2+3) 1813 2 3 E x>0and y>0 xy=1 x + x2 E x<0 — x2 * E
Three gold coins and 1 silver coin are worth as much as 5 silver coins and 2 gold coins
4 of these silver coins
1 of these gold coins [fF a _ >> 120° ¬- — — b° The lines are parallel a b E 2a-b=3 at+b=-6 a b E M Radius of circle A = 5 radius of circle B
10 Circumference of Twice the circumfer-
Trang 14638 Model Test 5 Column A Column B [ 40 - => = vi 700' 400'| & 500' - VE NEWPORT * — —_— —~ —N ¬ |
14 The area of the lot on 200,000 square feet
the corner of Chester
Street and Newport Avenue M choices given 16 E ~ rm oe 19 The fraction E
A 41 5-foot string is to be cut into 6 approximately equal lengths The average length of each piece will be (A) 6’ là (B) 6'9" (C) 611 (D) 7'9” (E) 83“
A Shirt marked $12.50 was sold for $10.00 The rate
of discount on the marked price was (A) 2% (B) 2.5% (C) 20% (D) 25% (E) 80% A radio marked $96 is offered for $72 The per- cent discount is (A) 4% (B) 24% (C) 25% I (D) 33% (E) 665 % (+ n equals (A) ~+n {+n (B) — (C) +1 (D) +1 (E) f Column A Column B
q is the smallest of nine consecutive integers 15 The average of these
nine integers q+4
Directions: Each of Questions 16—30 has five answer choices For each of these questions, select the best of the answer
20 What is a percent of b divided by b percent of a? E} (A) a (B) b (C) 1 (D) 10 (E) 100 Questions 21—25 refer to the following graphs EMPLOY MENT
BASED ON SEASONALLY ADJUSTED NONAGRICULTURAL PAYROLLS
(Figures represent millions of jobs.) r 1 We † | 7 110 46 109 ae 1: 108 |_ | +——] | | + 4 107 † + ‡ + 4 3 106 L +L +L a 1 L 4 L 2 g MU M8 UNEMPLOYMENT
BASED ON SEASONALLY ADJUSTED NONAGRICULTURAL PAYROLLS
Trang 1521 How many jobs (in millions) were reported for July 1990? (A) 50 (B) 108 (C) 109 (D) 110 (E) 150
In April 1992 the Labor Department reported that the unemployment rate for the previous month re- mained at a seven-year high What was the unem-
ployment rate for March 1992? (A) 5% (B) 6% (C) 7% (D) 7.3% (E) 10.9%
According to the Bureau of Labor Statistics, which of the following months showed the healthiest state of economy? (A) July 1990 (B) October 1990 (C) January 1991 (D) April 1991 (E) July 1991
For the 1990-1992 period what was the maximum number of jobs (in millions) held during any one
particular month, as reported by the Bureau of Labor Statistics? (A) 109.5 (B) 110 (C) 110.5 (D) 111 (E) 112
When the two graphs are compared, which state-
ment best describes their general trends?
(A) As one rises, the other also rises (B) As one rises, the other falls
(C) They remain parallel
(D) As one falls, the other also falls (E) None of the above
How many gallons of paint should be purchased to
cover 760 square feet if a gallon will cover 200 square feet? (A) 3 (B) 4 (C) 5 (D) 6 (E) 7 27 Model Test5 639 Which of the following fractions is next smaller in
value than one-half? (A) = (B) 2 (C) £ (D) 32 (E) rò
Acar uses a gallon of gasoline in traveling 15
miles Another automobile can travel m miles on a gallon of gasoline How many miles can the sec- ond travel on the amount of gasoline required by the first car in going 60 miles? m (A) 3 (B) m (C) 4m m (D) 2 (E) 9m
ACOw is grazing in a pasture bordered by two fences more than 10 feet long that meet at an
angle of 60° If the cow is tethered by a 10-foot-
long rope to the post at which the two fences meet, it can graze in an area of (A) 201 57 (B) = 20 3 507 (D) 3" (E) 100n (C)
A certain recipe makes enough dough to fill two
cake tins, each 7 inches in diameter and 1 inch
deep How many inches deep will the cake dough be if put into one cake tin 10 inches in diameter? (A) 0.51 (B) 0.71 (C) 0.98 (D) 1.02 (E) 1.40 Ss T O P
Trang 16640 Model Test 5
SECTION 6
Time - 30 Minutes
38 Questions
Directions: Each sentence below has one or two blanks, each blank indicating that something has been omitted Beneath the sentence are five lettered words or sets of words Choose the word or set of words for each blank
that best fits the meaning of the sentence as a whole 1 E ) =/5 cử
With few exceptions, explorers now are not individ- uals setting out alone or in pairs to some remote des-
tination but are instead members of - , often international, undertaking (A) asingular (B) acollaborative (C) an objective (D) an insular (E) a private
Anthropologists who have dismissed Villa’s notion
of prehistoric “‘social cannibalism” - that Villa’s
research was carefully done but stress that other
interpretations of the evidence are possible (A) deny (B) ignore (C) preclude (D) refute (E) grant
Surprisingly to those who view the ocean floor as a
uniformly - waste, each vent in the floor, where sea water is heated by the earth’s interior magma, has been found to be an island-like - with its own distinctive fauna (A) teeming habitat (B) lifeless enclave (C) barren oasis (D) sunken grotto (E) hazardous environment
Rather than allowing these dramatic exchanges
between her characters to develop fully, Ms Norman unfortunately tends to - the discussions involving the two women (A) exacerbate (B) protract (C) augment (D) truncate (E) elaborate
A - of recent cases of scientific fraud in which
gross errors of fact and logic have slipped past the review panels that scrutinize submissions to journals
suggests that the review system 1s seriously - (A) plethora intended (B) lack strained (C) dearth compromised (D) spate taxed (E) preponderance substantiated 6 H —¬
Egocentric, at times vindictive when he believed his authority was being questioned, White could also be
kind, gracious, and even - when the circumstan-
ces seemed to require it (A) authoritarian (B) taciturn (C) vainglorious (D) self-deprecating (E) self-assured
Many of Updike’s characters live to - the assur- ances they give one another glibly or sincerely; they define themselves by their betrayals of their spouses
or their children or their parents
(A) flaunt
(D) deplore (B) underscore (E) belie (C) fulfill
Directions: In each of the following questions, a related pair of words or phrases is followed by five lettered pairs of words or phrases Select the lettered pair that best
Trang 1713 FORENSIC : DEBATE:: M| (A) empirical : argument (B) judicious : law (C) histrionic : theater (D) sophomoric : humor (E) philosophic : temperament 14 LIMPET : DETACH:: H| (A) porpoise : sound (B) hummingbird : hover (C) chameleon : disguise (D) tick : extract (E) eel : wriggle Model Test5 641 nn COUNTENANCE : APPROVAL:: H} (A) uphold : delay (B) disclaim : obligation (C) traduce : reputation (D) propound : distinction (E) air : expression INSOUCIANT : DISTURB:: (A) supererogatory : require (B) laconic : interpret (C) distraught : ruffle (D) incredulous : convince (E) egregious : obtrude zl=
Directions: Each passage in this group is followed by questions based on its content After reading a passage, choose
the best answer to each question Answer all questions following a passage on the basis of what is stated or implied in that passage
Paralleling the growth of interest among professional historians during the early 1960s was a simultaneous
groundswell of popular interest in the Afro-American
past that was directly stimulated by the drama of the pro- test movement Sensing the “Negro Mood,” the journal- ist Lerone Bennett wrote a series of articles on Afro-
American history for Ebony and soon after brought them together in his popular volume, Before the Mayflower
(1962) As the nonviolent direct action movement
attained its crest in 1963-64, movement activists intro-
duced black history units into the curricula of the ““free- dom schools” that accompanied the school integration boycotts Meanwhile, boards of education began to
address themselves to “the racial imbalance and neutral- ism of pusillanimous textbooks designed to appeal to
Southern as well as Northern school adoption commit-
tees.” In 1964 New York City’s school board published
The Negro in American History; Detroit’s social studies
teachers produced The Struggle for Freedom and Rights:
Basic Facts about the Negro in American History
Franklin, surveying the activities among publishers,
teachers, and school boards, called these beginnings of curriculum revision “‘one of the most significant by-
products of the current Civil Rights Revolution.”
The relationship between these developments at the
grass roots level and what was occurring in the scholarly world is of course indirect Yet given the context of
social change in the early 1960s, Negro history was now the object of unprecedented attention among wide seg- ments of the American population, black and white In
academe nothing demonstrated this growing legitimacy
of black history better than the way in which certain
scholars of both races, who had previously been ambiva- lent about being identified as specialists in the field, now reversed themselves
Thus Frenise Logan, returning to an academic career,
decided to attempt to publish his doctoral dissertation on blacks in late nineteenth-century North Carolina A 1960
award encouraged him to do further research, and his expanded The Negro in North Carolina, 1876-1894 appeared in 1964 It is true that as late as 1963 a white professor advised John W Blassingame to avoid black history if he wanted to have “a future in the historical
profession.” Yet more indicative of how things were going was that 1964-65 marked a turning point for two of Kenneth Stampp’s former students—Nathan Huggins and Leon Litwack The changing intellectual milieu
seems to have permitted Huggins, whose original inten- tion of specializing in African and Afro-American his-
tory had been overruled by practical concerns, to move
into what became his long-range commitment to the field By 1965 when his interest in intellectual history found expression in the idea of doing a book on the Har- lem Renaissance, the factors that earlier would have dis- couraged him from such a study had dissipated For
Litwack the return to Negro history was an especially vivid experience, and he recalls the day he spoke at the University of Rochester, lecturing on Jacksonian democ-
racy Some students in the audience, sensing that his
heart was just not in that topic, urged him to undertake research once again in the field to which he had already contributed so significantly He settled on the study that
became Been in the Storm So Long (1979) In short,
both Huggins and Litwack now felt able to dismiss the professional considerations that had loomed so large in their earlier decision to work in other specialties and to identify themselves with what had hitherto been a mar- ginal field of inquiry
17 The author indicates that the growth of scholarly E| involvement in the study of black history was
(A) unappreciated in academic circles
(B) encouraged by the civil rights movement (C) systematically organized
(D) unaffected by current events
(E) motivated by purely financial concerns
18 The author’s account is based on all of the following F| EXCEPT
(A) personal anecdotes
(B) magazine articles
(C) curricular materials
(D) public opinion polls (E) scholarly publications
Trang 18
642 Model Test 5 19 The author cites Logan, Huggins, and Litwack for M| their
(A) work on curriculum reform in the public schools
(B) participation in the Freedom Summer in
Mississippi
(C) return to the field of Afro-American history
(D) research on blacks in nineteenth century North
Carolina
(E) identification with nonviolent direct action
20 The author suggests that the advice given to John W MỊ Blassingame was
(A) meant maliciously
(B) inappropriate to the times (C) acted on in good faith
(D) vital to his career
(E) verified by research
21 Which of the following best describes the purpose of H| the passage?
(A) To document the sacrifices made by black and
white scholars in the field
(B) To defend the validity of black history as a legit-
imate scholarly pursuit
(C) To investigate the origins of Afro-American studies in American universities
(D) To encourage the return to the study of black
history at the grass roots level
(E) To describe black history’s coming of age as an
academically respectable field
22 The passage suggests that Bennett’s work was simi-
M]| lar to Logan’s work in which of the following ways?
I Both Bennett’s and Logan’s books recorded a then relatively unfamiliar aspect of Afro-Amer- ican history
II Both Bennett’s and Logan’s work were
designed to appeal to a primarily academic audience
III Both Bennett’s and Logan’s work were pub- lished in a variety of formats
(A) Ionly
(B) III only
(C) I and II only
(D) [and III only
(E) II and III only
23 It can be inferred that prior to 1950 for a historian to H| choose to specialize in black history
(A) was encouraged by the academic establishment
(B) established his academic conventionality
(C) afforded him special opportunities for
publication
(D) was detrimental to his professional career
(E) enhanced his contact with his colleagues
A few species demonstrate conditions which are nei- ther complete hibernation nor aestivation Instead of going into a long “sleep” during the most adverse sea-
son, they become torpid for a few hours each day This kind of behavior is known in other animals — bats be-
come torpid during daytime, and hummingbirds at night
The first time I appreciated this phenomenon was while
working with fat mice (Steatomys) in Africa These mice, incidentally, have a most appropriate name, for their bodies are so full of fat they resemble little furry
balls Fat storage as a method of survival has rebounded
to some extent as far as the fat mice are concerned They are regarded as a succulent delicacy by many African
tribes who hunt them with great tenacity; when captured,
the mice are skewered and fried in their own fat A cap-
tive fat mouse was once kept without food or water for
thirty-six days; at the end of that time it had lost a third of
its weight but appeared quite healthy During the dry sea- son, some captives spent the day in such a deep state of
torpor that they could be roughly handled without wak- ing The body temperature was a couple of degrees above
room temperature and the respiration was most irregular, several short pants being followed by a pause of up to
three minutes Just before dusk the mice woke up of their
own accord and respired normally In this case the torpid
State was not induced by shortage of food or abnormal temperatures The forest dormouse of southern Asia and Europe also undergoes periods of torpidity during the day; this species has been recorded as having pauses of up to seventeen minutes between breaths There is also
a record of a leaf-eared mouse of the Peruvian desert
which became torpid under severe conditions
24 The primary focus of the passage is on
E (A) the inhumane treatment of laboratory
specimens
(B) irregularities of respiration in mammals (C) conditions that induce rodents to hibernate
(D) species that exhibit brief periods of dormancy
(E) the similarities among rodent species
25 It can be inferred from the passage that fat storage as
M| a method of survival “has rebounded” for fat mice
for which of the following reasons?
(A) It has enabled them to go without food and
water for long periods of time
(B) It has made them particularly tempting to human predators (C) It has made them so spherical they cannot move easily (D) It has caused them to adopt abnormal patterns of sleep (E) It has made them susceptible to abnormal temperatures
26 This passage would most likely appear in which of
E| the following types of publications?
(A) A geographical atlas
(B) A history of African exploration
(C) A textbook on rodent biology
(D) A guide to the care of laboratory animals
Trang 1927 It can be inferred that in the paragraph preceding this M| passage the author most likely discussed
(A) his initial journey to Africa
(B) the problem caused by sleep deprivation (C) other types of dormant states
(D) the physical appearance of rodents
(E) methods for measuring rodent respiration
Directions: Each question below consists of a word
printed in capital letters, followed by five lettered words or phrases Choose the lettered word or phrase that is
most nearly opposite in meaning to the word in capital letters
Since some of the questions require you to distinguish fine shades of meaning, be sure to consider all the
choices before deciding which one is best 28 SAP: E| (A) divert (B) educate (C) invigorate (D) liquefy (E) polish 29 UNFEIGNED: E| (A) pretentious (B) cautious (C) simulated (D) controlled (E) designed 30 VACILLATION: FE; (A) coarseness (B) simplicity (C) retraction (D) firmness (E) tedium 31 SWATHE: (A) fondle (B) nourish (C) anoint (D) unwrap (E) refresh COGNIZANCE: (A) ignobility (B) disbelief (C) impotence (D) illegality (E) unawareness NEBULOUS: (A) hypothetical (B) querulous (C) lamentable (D) piquant (E) distinct DENIGRATE: (A) emancipate (B) examine (C) desecrate (D) mollify (E) extol DECORUM: (A) lucidity (B) flexibility (C) impropriety (D) duplicity (E) severity CONDIGN: (A) intentional (B) unbiased (C) obdurate (D) inevitable (E) unmerited PUISSANCE: (A) effortlessness (B) powerlessness (C) recklessness (D) timeliness (E) wholeness PALLIATE: (A) exacerbate (B) immunize (C) oscillate (D) rarefy (E) precipitate S T O P
IF YOU FINISH BEFORE TIME IS CALLED, YOU MAY CHECK YOUR WORK ON THIS SECTION ONLY DO NOT WORK ON ANY OTHER SECTION IN THE TEST
Trang 20644 Model Test 5
SECTION 7
Time - 30 Minutes
25 Questions
Directions: Each question or group of questions is based on a passage or set of conditions In answering some of the questions, it may be useful to draw a rough diagram For each question, select the best answer choice given
Questions 1—5
In a certain society, only two forms of marriage are rec- ognized In Prahtu marriage, several brothers marry a single woman, while in Brihtu marriage, several sisters
marry a single man All members of a given married
group are regarded as the parents of any children of the marriage Marriage between male and female children of
the same parents is forbidden
Eisasonof A
G is a daughter of B
F is a daughter of C
E, F, M, and N have a daughter, H
E and F have the same paternal grandmother, Q
A and B are the only grandfathers of H; C, J, K, and
L are the only grandmothers of H
No one has married more than once; all children were born in wediock 1 Gis a sister of M! (A) Nonly (B) M only (C) E (D) F (E) Eor EF, but not both 2 Nisa sibling of MIM only Il MandE HI MandF (A) I only (B) If only (C) III only
(D) HH or HH, but not both (E) Neither I, IH, nor III Cn One of Q’s children may be MI (A) A (B) C (C) J (D) K (E) M Which of the following is an offspring of a Brihtu marriage? (A) H (B) E (C) A (D) B (E) J =| 5 5 If E, F M, and N had not married, which would be a H| permissible marriage? (A) N marries M and others of M’s sex (B) N and M marry E (C) N and M marry G and F (D) G marries E only (E) E marries G and FE Questions 6-9
Seven varsity basketball players are to be honored at a special luncheon The players will be seated on the dais along one side of a single rectangular table
Adams and Goldberg have to leave the luncheon early and so must be seated at the extreme right end of the table, which 1s closest to the exit
Baker will receive the Most Valuable Player’s trophy and so must be in the center chair to facilitate the
presentation
Cooper and D’ Amato, who were bitter rivals for the
position of center during the basketball season, dislike
one another and should be seated as far apart as is convenient Edwards and Farley are best friends and want to sit together 6 Which of the following may not be seated at either M| end of the table? (A) Cooper (B) D’ Amato (C) Goldberg (D) Farley (E) Adams ¬ Which of the following pairs may not be seated Mj together?
(A) Cooper and Farley
(B) Baker and D’ Amato (C) Edwards and Adams
(D) Goldberg and D’ Amato
(E) Edwards and Cooper
oo Which of the following pairs may not occupy the
M/ seats on either side of Baker?
(A) Farley and D’ Amato (B) D’Amato and Edwards
(C) Edwards and Goldberg
(D) Farley and Cooper
Trang 219 If neither Edwards nor D’ Amato is seated next to
M| Baker, how many different seating arrangements are possible? (A) | (B) 2 (C) 3 (D) 4 (E) 5 Questions 10—15
Number series questions provide psychologists with a
means of testing a person’s ability to determine quantita-
tive patterns Below are seven number series: I 4, 64,5, 125, 6,x Il 6,37, 7,50, 8, 65,9, x II 5,25, 125, 7, 49, 343, 9, 81, x IV 9, —7, 18, —18, 31,x V 4, 16, 80, 480, 3360, x VI 25, 24, 22, 19, 15, 10, x VII 100, 81, 64, 49, 36, x
10 In which of the above number series is the third
E| power of a number the determining factor?
(A) Land HI
(B) I, IV, and V (C) I, II, and VH
(D) IH, HI, and VI
(E) I, Ill, IV, and VII 11 In which of the above number series is n* + 1 the E| determining factor? (A) II (B) HI (C) V (D) VII (E) None
12 In which of the above number series is it necessary
E| to consider a pattern of three elements? (A) I (B) Il (C) Ill (D) IV (E) V
13 In which of the above number series is the use of
M| powers of a number NOT a determining factor? (A) I (B) I (C) IV (D) V (E) VII Model Test5 645 14 In which of the above number series is the determin- M| ing factor the addition and subtraction of squares? (A) I (B) IV (C) VI (D) VII (E) None 15 In which of the above number series is the recogni- M| tion of increasing multiples significant? (A) (B) V (C) VI (D) If and IV (E) IL and VI Questions 16—20
Mr Pict must accommodate seven tour group passengers
in two four-person cabins on the S.S Gallia Each pas-
senger in a cabin must be able to converse with at least one other passenger, though not necessarily in the same language
A, an Etruscan, also speaks Gothic and Hittite
B and F are Hittites and speak only that language
C, an Etruscan, also speaks Gothic
D and G are Goths and speak only Gothic E, an Etruscan, also speaks Hittite
Hittites refuse to share rooms with Goths
16 Which combination of passengers in one of the
M| cabins will result in a rooming arrangement that sat- isfies all conditions for both cabins? (A) B,C, F (B) D,E,G (C) A,D,E,G (D)C,D,E,G (ŒE) A,B,C,F 17 Which CANNOT be true, given the conditions as M| stated?
I Ccannot room with A
II Any cabin containing three persons must include A HI E must always room with a Hittite (A) I only (B) II only (C) I and ILI only (D) II and II only (E) I, I, and Ill
Trang 22646 Model Test 5
19 If E objects to sharing a cabin with A, with whom
M} can Mr Pict place him in order to arrive at an
arrangement that satisfies all conditions?
I DandG, with no fourth cabin mate II Band F, with no fourth cabin mate
HIL C,D,andG
(A) I only
(B) II only
(C) I and III only
(D) Il and III only
(E) Neither I, II, nor III
20 At the last minute, a new person applies to join the
H
group Mr Pict can place her with any of the follow-
ing except
(A) C, D, and G if she is a Goth
(B) A, B, and F is she is an Etruscan (C) B, E, and Fif she is a Hittite
(D) C, D, and Gif she is an Etruscan
(E) B, E, and F is she is a Goth
Questions 21—25
In the days of sailing ships fresh food was not available, and at the end of long trips many sailors came down
with scurvy Many attempts were made to seek a cure for this condition
I John Hall cured several cases of scurvy by admin- istering an acidic brew made of a certain grass and
watercress
2 William Harvey suggested that the sailors take
lemon juice to prevent scurvy He thought the
specific acid (citric acid) in lemon juice would pre-
vent the disease
3 James Lind experimented with 12 sick sailors to find
21
out whether the acid was responsible for the cure
Each was given the same diet except that four of the men were given small amounts of dilute sul- furic acid, four others were given vinegar (acetic
acid), and the remaining four were given lemons
Only those given lemons recovered from the Scurvy How many controls did James Lind use? (A) One (B) Two (C) Three (D) Four (E) None 22 A possible cause of scurvy is E 23 24 25 (A) lack of watercress (B) lack of acidity
(C) lack of fresh food
(D) lengthy sea voyages
(E) lack of lemon juice
Credit for solving the problem described in the pas-
sage belongs to
(A) Hall because he devised a cure for scurvy
(B) Harvey because he first proposed a solution of
the problem
(C) Lind because he used the scientific experimental
method
(D) Harvey and Lind because they found that lem-
ons are more effective than Hall’s brew
(E) All three men because each made some
contribution
The hypothesis tested by Lind was that
(A) lemons contain some substance not present in vinegar (B) the citric acid of lemons is effective in treating scurvy (C) lemons contain some unknown acid that cures scurvy (D) the substance to cure scurvy is found only in lemons
(E) some specific substance, rather than acids in
general, is needed to cure scurvy
Which question did Lind’s experiment NOT answer? (A) Will lemons cure scurvy?
(B) Will either sulfuric acid or vinegar cure scurvy? (C) Will citric acid alone cure scurvy?
(D) Are lemons more effective than either sulfuric
acid or vinegar in the treatment of scurvy? (E) Are all substances that contain acids equally
effective as treatments for scurvy?
S T O P
Trang 23Answer Key
Note: The answers to the quantitative sections are keyed
to the corresponding review areas in the Mathematics
Trang 24648 Model Test 5 Answer Explanations Section 1 I 2 1, D _C B B D C
The statement asserts that the three are not in
fact independent or separate but are instead
inseparable
If depression arises when nerve cells get too lit- tle of certain chemicals, it makes sense to have these cells get more of the chemicals This can be done by making more of the chemicals
available to the cells
Conventional or traditional methods no longer are adequate to protect wild creatures Conser-
vationists wish to protect wildlife Therefore,
they are pressing for a new approach
If neutron stars are the remnants or remaining
traces of exploding stars, then they are the
products or results of violent natural processes
Choice A is incorrect The neutron stars did not cause the explosions; they were caused by the explosions
Choice C is incorrect There is nothing equivo- cal or inconclusive about the explosion of a
Star
Choice D is incorrect Nothing in the statement suggests that the creation of neutron stars justi-
fies or vindicates the explosion of a star In addition harsh is far too weak a word to describe a stellar explosion
Choice E is incorrect Neutron stars come into
existence after a supernova explodes Thus,
they are not precursors or forerunners of the
explosion
The contrast in Hugo is between piety or devo-
tion (‘a scene of chaste and holy love”) and ribaldry or indecency (a scene of “coarse and profane licentiousness’))
Note that the sentence’s parallelism demands
that the two missing words be antonyms or
near-antonyms
The key word here is busyness, used to indicate a state of having many intricate details that do not coordinate into a harmonious whole
Because the details were subordinated or made less important than the building’s total design, the building was unencumbered or unhampered by a sense of busyness
The waitress omits taking exaggerated precau-
tions However, this does not imply that in
doing so she was either rash (imprudent) or
erratic (capricious) She was merely being non-
chalant or poised, undisturbed by any unto- ward agitation over the performance of an everyday task 8 9 10 11 12 13 14 15 16 17 18 B E C D C
A lodge is a place of shelter constructed by a
beaver A nest is a place of shelter constructed
by a bird
(Defining Characteristic)
To rustle cattle is to steal them To hijack cargo
is to steal it Note that you are dealing with a secondary meaning of the verb rustle here
(Defining Characteristic)
A gland produces enzymes A generator pro- duces electric current
Beware eye-catchers Choices A, C, and D are incorrect although they contain biological
terms
(Function)
A jug is an example of crockery or earthen-
ware A hat is an example of millinery or the
hatmaker’s ware
(Class and Member)
A glint is asmall gleam of light A whiff is a
slight puff of scent
(Degree of Intensity)
Doggerel is trivial or inferior verse produced
by a poet A potboiler is a trivial or inferior lit- erary work produced by a novelist
(Defining Characteristic)
Something feral or wild lacks domestication or
taming Something crude or rough lacks refinement or polish
(Antonym Variant)
To scotch or block a rumor is to suppress it To quash or quell a riot is to suppress it
(Defining Characteristic)
To gualify something is to make it less general
and more particular To mollify something is to make it less harsh and more agreeable
(Defining Characteristic) By providing background on how the theory of a dynamic abyss came to take hold in the sci- entific community and on how the forces that activate the global patterns of ocean currents actually work, the passage serves to “summa-
rize evidence supporting oceanic circulation.”
The opening sentence states that ‘“‘many inves- tigators were initially reluctant” to accept the evidence in favor of this controversial hypoth- esis Committed to the belief that the depths of
the ocean were calm (‘‘the notion of the tran- quil abyss’’), these scientists at first viewed the
Trang 2519 21 22 23 24 25 D D D
The passage states that the first argument for 26 D
the existence of dynamic currents in the deep sea came from theory, based on “models of ocean circulation” involving the tendency of cold water to sink
Because they need to take into account the effects of strong sea-floor currents on the
structures they plan to build, designers of sea- floor structures are most likely to be interested
in this particular article
Both minute particles of rock and grains of
wind-blown soil belong to the first type of sed-
iment discussed (‘‘detritus whose source is the
weathering of rocks on continents and
islands’) Only the fragmentary shells of dead microscopic organisms belong to the second
type
The authors approximate an amount (“about 27 D three billion tons per year”), refer to a model
of ocean circulation, give several examples
(“such as the ”), and list evidence to support a
theory They never propose a solution to a 28 A
problem
In this explanation, the authors are objective
and factual They are conveying information 29 C Therefore their style can best be described as
expository (explanatory)
In the two paragraphs of this passage, we find
the justification for Choice D In the first para- 30 E graph, we are told that Goethe loved the ele-
ments of classicism but could not adhere to its
requirements In the second paragraph we are
shown how Goethe embodied the elements of
romanticism in his writings
Choice A is incorrect The passage fails to give equal weight to both writers
Choice B is incorrect The passage focuses on
Goethe, not on romanticism
Choice C is incorrect The passage refers to the differences between classicism and romanti-
cism in order to explain Goethe’s writings
Choice E is incorrect The passage deals with 32 B Goethe’s art, not his life
The author never mentions simplicity of lan-
guage as a characteristic of romanticism 33 C
Choice A is incorrect The passage refers to a ‘continued faith in nature” as one aspect of Goethe’s romanticism
Choice B is incorrect The passage refers to impulsiveness or spontaneity aS savoring
strongly of romantic individualism
Choice C is incorrect Since romanticism has
formed so many modern attitudes, one finds in
romanticism ideas that seem noteworthy for 35 E their modernity
Choice D is incorrect The passage refers to “a disregard of artistic or logical propriety” as characteristic of romanticism 31 D 34 C Model Test5 649 You can arrive at the correct answer by the process of elimination
Sensitivity towards emotional promptings 1s
characteristic of romanticism; it is an unlikely characteristic of classicism Therefore, you can eliminate Choices C and E
Emphasis on formal aesthetic criteria is a
likely characteristic of classicism The passage
talks of the formal beauty that distinguishes the
classical works of Dante and Virgil Therefore, you can eliminate Choice B
Meticulous planning of artistic works 1s a likely
characteristic of classicism The passage talks
of the carefully planned compositions of the
classicist Dante; it also tells of the structurally flawed compositions of the romantic Goethe Therefore, you can eliminate Choice A
Only Choice D is left It is the correct answer The author both admires Goethe’s writings and
notes their flaws; his attitude is one of meas- ured admiration
The opposite of superficial or shallow is
profound
Think of “superficial ideas.”
The opposite of naivete or lack of worldliness
is sophistication
Think of “innocent naivete.”’
The opposite of to tether or fasten is to loose Think of “tethering a horse to the hitching
post.”
The opposite of pandemonium or tumultuous uproar 1s tranquillity or calm
Word Parts Clue: Pan- means all; demon-
means evil spirit Hell or Pandemonium, the
place where all the evil spirits dwell, is a place
of noise and uproar
Think of “pandemonium breaking loose.”
To enervate (weaken or enfeeble) is the oppo-
Site of to stimulate or energize
Think of being “enervated by the heat.”
The opposite of destitution (privation; lack of
life’s necessities) is affluence or wealth
Think of “the poor living in destitution.”
The opposite of to bereave (deprive or dispos-
sess, especially by death) is to restore
Think of being “bereaved of all hope.”
The opposite of to eschew or shun is to seek Beware eye-catchers Choice A is incorrect Eschew is unrelated to chewing or gnawing Think of “eschewing violence and seeking
Trang 26650 36 37 38 Model Test 5 D The opposite of recondite (obscure; difficult to comprehend) 1s obvious Context Clue: “Many consider quantum theory a recondite subject.”
The opposite of to obviate something (make it unnecessary) 1s to require or necessitate It
Think of “obviating a need.”
The opposite of contumacious (insubordinate;
stubbornly disobedient) is tractable (docile; obedient) Think of “‘contumacious rebels.” Section 2 7 B D D 7+7+7 — 21 =-1 _T-i-] -2l
The value of x may be 30 or 60 or 90
The 13 microscopes are divided so that
Classroom A uses 6 odd-numbered micro- scopes and Classroom B uses 7 even-
numbered ones
0.01 percent = 0.0001 (0.0001) (10,000) = 1.0
Since Martin is 5 times as old as Sara, Sara’s
age 1S = of Martin’s age
Michael is younger since his age is Z of
Martin’s age
The only information we have is that the sum
of the weights of the 3 children is 150 pounds
We may assume that x and y have positive
values but only that x is greater than š y Note
the many possibilities
If x = 3 and y = 2, 3 is greater than $ lfx = 4 and y = 5, 41s greater than 2 Football Baseball squad squad Both squads 8 The number of those on both squads = 10 10 11 12
The number on the baseball squad = 20
The number on the baseball squad but not on
the football squad = 10
The number on the football squad but not on
the baseball squad = 20
Column A: 10:20 or 1:2 Column B: 10:20 or 1:2
Distance = rate x time
Distance = (30 m.p.h.) lạ hour = 10 miles
3
Distance = (20 m.p.h.) l2 hour = 10 miles
Because the arcs are equal, ABC is an equilat-
eral triangle AF bisects BC (given); therefore, DC is j of any side of ABC
Since y = 50, the measure of ZDBC = 100
Since this is a parallelogram, the measure of ZABC = 80 and x = 40 In the triangle formed, since x + y = 90, the measure of z, the vertex angle, 1s 90 because the sum of all the angles is a Straight angle
We may conclude that a = 80 but we have no
Trang 2714 C 15 C 16 B 17 D z+y+ ZABC = 180° 40+65+ ZABC = 180° ZABC = 75° m ZOCD = mZABC (alternate interior angles) x = 75 Since BD L AC, x = 90 Since ABC 1s equilateral, z = 60 Therefore, y = 30 x 90 7-27 =3 y 30
This is a direct proportion Let x = number of postage stamps that can be purchased for c cents I stamp _ x stamps S¢ ss: Sx =C rik 5 A B C D +++ + 18 E 19 B AC _ 2equalsegments 2 AD 3equalsegments 3
A time-consuming method would be to solve
for y in terms of x and to substitute that value
in 5y A superior method would be to multi- ply both sides of the equation by 6 in order to obtain a value of 5y 20 21 22 23 24 25 26 21 28 29 Model Test5 651 20% or 5 of 2== 3° 2_ 14] 7 5 “3¬ 35_ 35
Teachers’ salaries represent 30% of the budget Salaries of other school personnel represent
10% of the budget
30%:10% or 3:1
Tax rate per $100 for schools = 24.856
Tax rate per $100 for community college = 0.654 24.856 0654 ~ 38+ $10,000 = 100 ($100) ($100)(24.856) = $2485.60 25% = + If $D = 20% of the budget then $D _ ? 20% 15% (20%)(?) = 15($D) ?=§22D=§ŸD
Area of triangle = 5 (base)(altitude)
Area of triangle = 5 (6 units)(2 units) =
6 units
3 gallons = 12 quarts = 24 pints
165 pints = 6.8 (3-gallon cans)
Only six 3-gallon cans will be filled
360° _ 70 60° - 6
At half-past six the large hand of the clock is
One-minute unit on the clock =
midway between 6 and 7 (2 5 units) or 15°
Trang 28652 Model Test 5 I 26 ¬ 30 C Draw DF L BC DF=AE=4 Therefore, FC = 3 BE =3 EF = 26-6= 20 AD = 20 Section 3
1-3 A quick reading of the three questions will
reveal that the student is not asked to prepare a
seating arrangement The student should exa- mine what is presented 1 E Choice I is satisfactory Lady- FOLMPJHKGONR Languagey\ VY Yo NY YY VAN ANA tance EFFFGREEEFGE anguages Spoken E GR R FGE Choice III is also satisfactory lady- FRGJHOLMOQOPKN Languagey\ t VY YN AN & YN SN or EEEREFFFFGEG ranguages Spoken F RE GGR E Choice II is unsatisfactory lady- F RNL P Language} 4 1 \ 3 or EEEFG Languages Spoken G R
Having discovered that Mrs L will not be able
to communicate with either Mrs N or Mrs P, the student need not continue examining the
remaining ladies’ abilities to communicate with their neighbors
2 A Since Mrs J speaks Russian only, she must sit
alongside Mrs P or Mrs H Mrs H is already
seated; the only place left for Mrs J is along- side Mrs P
3 D An examination of the list of guests reveals that five ladies speak French Four have
already seated themselves in this group of seven Mrs L speaks only French and there- fore must be seated alongside Mrs Q
8-11
It is not really necessary to examine statements
I, II, and III A glance at the chart should
reveal that Mrs J, who speaks Russian only,
will have no one to converse with, since the only other Russian-speaking women—Mrs H and Mrs P—will not be in attendance Choice
E is the only possible answer
Johnson makes two claims: (1) anyone support- ing the bill must have an ulterior motive, and (2) therefore, there are no valid grounds for supporting the bill Choice D makes the same two claims about Johnson Choice B 1s the best
response to Johnson, and does not make the
error in reasoning that he makes; choice A
grants Johnson’s claims and does not attack
him; choice C attacks Johnson’s argument
rather than attacking his motives; and choice E
attacks Johnson but doesn’t claim that moti-
vation discredits his argument
This deluded father is basing his whole argu-
ment about his daughter’s talents on the rave
reviews from a single high school play The best way to counter his argument would be to point out the inadequacy of that evidence,
which is what choice C does All the other
choices refer to the stiff competition for jobs on
Broadway and the high odds against succeed- ing They do not directly counter the father’s line of reasoning
The original argument states that most X
(opponents of gun control) are Y (conserva-
tives); therefore, someone who is not X is prob-
ably not Y The flaw in this reasoning is that many persons other than X may also be Y
Choice D makes the same error: most X (sports cars) are Y (expensive), so a non-X is probably
not Y But many kinds of cars other than sports cars may be expensive The other arguments
have logical structures different from that of the
original argument Choice A wrongly argues:
most X are Y, therefore a Y is probably X
Choices B, C, and E are all logically valid
Since this problem involves both days of the week and calendar dates, make a calendar
Keep it simple It doesn’t have to show all days
of the week—only one choice in one question
involves a day other than Tuesday, Thursday, or
Saturday—and it doesn’t have to go all the way
Trang 29Th 4-30 Sat 5-2 Tu 5-5 Th 5-7 Sat 5-9 Tu 5-12 Th 5-14 Sat 5-16 Tu 5-19 Th 5-21 Sat 5-23 8 C 9 C 10 B 1] B 12-18 RYDER EAKINS HUDSON RIVER J — ~~ J J — — v — — J J J J J J TC — J J J J v v J — — J J J J J (ends 5-24)
The conditions mean Dan can go to the
museum only on Tuesday, Thursday, or Satur- day By starting on Tuesday, he can complete
the three visits in five days, whereas by starting
on Thursday or Saturday he must take six days This is enough to get you to choice C Dan
must go to the Eakins or Ryder exhibition
first, since the Twachtman Gallery is closed Tuesdays
Since the Pollock Wing is closed Thursdays during May, Ellen must see the Ryder exhibi- tion first, on Thursday, April 30 (1); she must, then, see ““The Hudson River School” second, on May 7, since the “Precursors of Eakins”
does not open until May 8 (II) This excludes
choice III
Your calendar tells you that all three exhibi- tions can be seen on Saturday, May 9, 16, or 23 ({[)—not on Saturday, May 2, because the “Eakins” is not yet open, and not on May 30, because ‘““The Hudson River School” is closed
(I) II] is out both because the Twachtman
Gallery is closed Tuesdays and because the Eakins exhibition does not open until May 8
Terry’s visit falls on Thursday, May 7 (six days after the May | opening of “The Hudson River School”) A glance at the calendar shows that ‘The Hudson River School” is the only special exhibition open on that date
To diagram this one, start with seven blanks for the seats Put the moderator in the middle; put
the initials of the speakers under the blanks and
abbreviated titles over the blanks (Of course, your diagram may be slightly different Any clear and readable system will do.) Starting with statements (3) and (5), you have:
Impact
CF Mod
Model Test5 653
The person delivering “Epidemiological
Aspects” must be in a middle seat, and it must
be on the right because Cathode, not Albert or
Durand, is in an end seat on the left Given this information, Albert and Durand must be In the
two other seats on the right, while the two
friends in statement (2) must be In the two
remaining seats on the left, although in each case we don’t know who is in which seat
Since the person in statement (4) is delivering
“Benign,” not “Impact,” he or she must be in
the end seat on the right Finally, statement (6)
tells us that Ettis is in the middle on the right,
with Albert to her left You now have:
Impact Pub/Rad Pub/Rad Epidem Benign
C F Mod A E D
By elimination, Burris is in the last available seat We still don’t know the title of Albert’s paper, nor do we know which paper is to be
delivered by Felsenstein, which by Burris 12 E By inspection of the diagram Notice that
choices A and B include Albert as pro-industry, while statement (6) says that he or she is a
critic
13 B By inspection of the diagram
14 A Albert is the only person the title of whose paper is unknown
15 B Statements (1) and (6) together are sufficient
to establish the seating positions of Albert,
Durand, and Ettis Once we know that Ettis is
seated between Albert and Durand, statement (1) tells us the title of her paper
16 D The diagram shows that, if the seventh speaker
is to sit midway between Cathode and the mod-
erator, he must sit between Felsenstein and
Burris
17 B If the eighth speaker is to sit exactly midway
between Durand and the author of “Public
Health and PBX,” then the latter must be Fel- senstein, not Burris, since otherwise there
would be no vacant spot exactly midway
between the two Therefore, Burris must be the
author of “Radiological Aspects of PBX.” The eighth speaker will sit between the moderator
and Albert
18 A We’ve seen that I remains ambiguous II and
Trang 30654 Model Test 5 19-22 19 20 21 22 23 24
We’ ve drawn a diagram similar to the tradi- tional “family tree” diagram used in history
books and genealogies Since so many persons are of uncertain sex, we’ve used m for male, f for female, and x and y for unknowns We
know, for example, that G is the same sex as C,
so we label both x; B and therefore F are the
opposite sex from C, so we label both y, and so
on Horizontal lines indicate marriage, vertical or diagonal lines indicate children sister bin ———— He M; ——— A, D B D Ky FY Gy
This question orients you, in case you made an unwarranted assumption about the sexes Since we do not know B’s sex for sure, we don’t
know F’s; this rules out all the wrong choices —including E, since we do know H’s sex As
the child of D’s sibling B, Fis D’s niece or nephew
D is an x, and can therefore marry any unmar-
ried y
H is female If x = male, H can marry D or G,
so Lis out If y = male, H can marry F
Clearly H cannot marry both (J and K are ruled out, since they are H’s direct
descendants )
This generation (the middle generation) con- tains three x’s and two y’s If the more numer-
ous x’s are female, J, who is a y, must be male If x = female, choices A, C, and E are untrue
Choice D can never be true
Statement I is not assumed The author
assumes only that we are in danger of running
out of oil eventually Statement II is assumed The author’s claim is that we must use oil to
produce plastics and other goods Statement III is not assumed The author assumes only that someone could develop alternative methods of transportation, not that the oil companies are in a position to do this themselves
The author’s only basis for advocating the ban-
ning of the internal combustion engine is that
the oil it burns is needed for other purposes If a synthetic oil were developed that did every-
25 B
thing natural oil does, the author’s complaint
would lose its force All the other choices describe events which would ameliorate the
problem without eliminating it
The author claims that the oil we are burning 1s
needed to produce many important commodi- ties Choice B underscores both the value of
some of those items and the necessity of using oil to produce them Choice A supports the
author’s secondary point that other methods of
transportation could be developed, but does not
directly support the main conclusion that the
internal combustion engine should be banned Choice C emphasizes the urgency of the prob- lem, but the original argument makes no claims about time Choices D and E provide bases of other arguments for the banning of gasoline- burning cars, but have no effect on the original argument Section 4 1 C Area = T2 _C A, .C, x 4 r2 I 4 1 or 0.5 2
If equal quantities are added to equal quantities the sums are equal
From —5 to zero inclusive there are 6 integers,
and from | to 5 there are 5 more integers, for a
total of 11 integers From 5 to 15 inclusive there are also 11 integers
x < y because when x is squared and multi- plied by 9 it has the same value as y
From the information given, we can only
deduce that | the product of these two 2
values equals 18
We may conclude only that AD = BC and AB = DC
The median and altitude of the equilateral tri- angle is BD Therefore y = 60 and x = 90
90 _ 60 32
Angle BEC is a right angle Therefore w + z = 9Q Since w + x + z + y = 360 and w + z = 90,
then x + y = 270
Let s = side of square
Then area of square = s7