SOIving e 市 Problems 365 25. A dietician has sufficient milk to feed 13 infants for 4 weeks. How many days will this supply last if 13 more infants are added? (A) 2 (B) 8 (C) 14 (D) 26 (E) 56 26. ln planning for a picnic, a committee purchases enough frankfurters t0 allow each 0f the 絽 expected persons 3 frankfurters. If 9 additional persons come tO the picnic, hOW many fewer frankfurters will each person be given? 1 (C) 2 (D) 2 ー (D) 2 ー (A) 1 (B) ト 2 2 27. How many inches long is the shadow 0f an R-f00t po 厄 , if an r-inch ruler casts an s-inch shadow at the same time? 12R Rs 12R 、 (B) (A) 1 ン 凵 . Six cups of shredded coconut weigh 1 pound. What is the weight, in ounces, of 1 cup of shredded coconut? (A) 0.6 (B) 0 」 6 (C) 1.6 (D) 2.6 (E) 4.3 15. A package of dried currants weighs 10 ounces. If 3 cups Of dried currants weigh ー pound, how many packages will a baker need for a recipe that calls for い cups of dried currants? (A) 5 (B) 8 (C) 10 (D) 50 (E) 80 16. There are 3 to 4 tablespoons of bread flour in 1 ounce. What is the maximum number Of table- spoons Of brea•d flour in 12 ounces? (A) 8 (B) に (C) 36 (D) 42 (E) 48 17. One cup Of condensed, sweetened milk weighs Ⅱ ounces. HOW many ounces Of milk Will remain unused fO 「 a recipe requiring 2 cups Of milk when a housewife opens four 6-ounce cans Of condensed milk? (A) 1 (B) 2 (C) に (D) 20 (E) 22 18. Two tablespoons 1 ounce liquid; 4 tablespoons 1 ー cup. HOW many ounces are there in ー cup. 4 (A) 4 (B) 8 (C) 16 (D) 24 (E) 32 円 . If ロ apples costd dollars, how many apples can be bought for x dollars? (A) 20. If cards are sold at the rate of 3 for 10 , what will be the cost of 3 dozen such cards? (D) $ L26 (A) $ 0.42 (B) SI.08 (C) $ L20 (E) $ L44 Rs (D) (D) (C) 28. If a 3—-pound box of candy costs $ 3.30 , what is the pnce per pound Of the candy in the box? (A) 904 (B) $ L00 (C) $ 凵 0 (D) $l.ll (E) $ L21 29. A pound 0f commercial fertilizer occupies from 20 to 25 cubic inches, while a pound Of humus occupies from 40 t0 55 cubic inches. What is the maximum ratiQ Of the amount Of commercial fertilizer tO humus in a 2-ton truck carrying equal amounts Of each? 4 (B) 2 9 5 5 一 8 (D) 5 (B) (E) (D) 30. ln a section Of Mills City the ratiO Of private homes t0 apartment house dwellings is 5 : 3. If all the apartment house dwellings are brick structures and Of the private homes are wooden structures, what is the maximum portion Of houses that may be brick? 3 5 (E) 8 8 引 . Grass seed formerly so 旧 for 600 a pound is now packaged in 2-pound packages and is sold for $ L50 per package. What is the ratiO Of the Old price tO the present price Of this seed? (A) 1 : 5 (B) 2 : 5 (C) 3 : 5 (D) 4 : 5 (E) 5 : 4 32. A test tube hOldS . cubic centimeters Of water. HOW many test tubes are necessary to hO 旧 ) , cubic centimeters Of water? 33. HOW many 3-cent stamps may be purchased for d dollars? 3 1 21. At the rate Of 2 for 5 cents, how many envelopes can be purchased for 65 cents? (A) い (B) 26 (C) 32 (D) 34 (E) 52 22. The blueprint ofa room is drawn to the scale 1 inch 20 feet. If a room is actually IO yards long, how long, ⅲ inches, is the line of the blueprint drawn tO represent the length of the room? 2 1 (B) ト (C) ト (D) 2 (E) 6 3 2 If 4 men can clear the snow near a school in 6 23. hours, how many hours will it take 12 men working at the same rate tO perform this task? (A) 2 (B) 8 (C) に (D) 18 (E) 24 24. If men do ajob in 10 days, how long will it take 10 men tO complete this task, assuming that they work at the same rate? 100 (C) 100 川 (D) (B) (A) 100 8 6 (D) 1 100d 3 (E) (D) (C) (E) 川 100d 3
338 Reviewing Mathematics ー 3. The numerator and denominator of a fraction are in the ratio of 2 : 3. If 6 is subtracted from the numerator, the result will be a fraction that has a value ー Of the original fraction. The numerator of the original fraction is (A) 4 (B) 6 (C) 9 (D) 18 (E) 27 図 . One half of the student body at the Danby school study French, and one third of the others study Spanish. The iemaining 3 do not study any foreign language. HOW many students are there in the Danby SchooI? (A) 360 (B) 550 (C) 900 (D) し 350 (E) し 800 15. During the month of June the Forster-Gold Fruit Company SO 旧 twice as many apricots as pears, three times as many peaches as apricots, and four times as many apples as peaches. If the company sold 300 mo 代 peaches than apricots, how many apples were sold? (A) 75 (B) 0 (C) 300 (D) 720 (E) し 800 . JiII is twice as old as Shelly. ln ) , years she will be ト times as d. What is Shelly's age at present? 4 The sum Of six consecutive Odd numbers exceeds 17. twice the largest number by 38. Find the sum 0 「 the SiX numbers. (A) 42 (B) 50 (C) 57 (D) 60 (E) 72 18. The price of a balcony seat ⅲ the Avon Theater is ー the price Of a seat in the orchestra. When the 3 theater is completely sold out, the total receipts from the 6 orchestra seats and the 450 balcony seats are $ 4 , 500. What is the price Of one orchestra seat? (A) $ 2. (B) $ 2.30 (C) $ 4. 開 (D) $ 6. 側 (E) $ 10.00 ー 9. ln 円 50 there were twice as many radios as television sets in Manchester. By 円 52 , 200 more television sets had been purchased, but the number Of radios still exceeded the number of television sets by 40. HOW many radios were there in Manchester in 1952 ? (A) 0 (B) 280 (C) 320 (D) 360 (E) 480 20. Fifteen houses line lndian Creek. The average space between each house exceeds the average width of each house by 80 feet. The sidewalk, 2 , 920 feet in length, begins at a point 30 feet before the first house and ends at a point 30 feet beyond the last house. What is the average width, in feet, Of each house? (A) 58 (B) 59 (C) 60 (D) (E) 62 (B) 2 3 lnequalities and the Number ⅱ冊 ln each 0f the following, replace the question mark with either > or < : Solve each of the following inequalities for x, and graph the solution set on a number line: 3x > に 8x S 5 に > 0 x 十 3 > 4x ー 9 4x > ムー 7 ーく 5 ~ ーっ 4 「 4 4 If x > 0 , v > 0 , and ー > ー , then . v 5. If ・ > 0 > 、 , and ー < ー then ) , ? 北 3 つ , 2 lfA ・ > 、 , > 0 , then ・ If 、 , く . v く 0 , then .v- If .x ・ > l, then ・ + ー ? 2. If x > ー > V, then 十 . y2 ? 0 -6 7 ′ 8 9. 0 20.
20 A Description of the Test $ 府ね府 CO ″″ 0 0 嶇 s 0 庵 Directions: ln each Ofthe following sentences, some part or all Ofthe sentence is underlined. BelOW each sentence you will flnd five ways Of phrasing the underlined part. Select the answer that produces the most effective sentence, one that is clear and exact, without awkwardness or ambiguity, and blacken the corresponding space on your answer sheet. ln choosing answers, fOllOW the requirements Of standard written English. Choose the answer that best expresses the meaning Of the original sentence. Answer (A) is always the same as the underlined part. Choose answer (A) ifyou think the original sentence needs no reVISlon. SAMPLE ANSWER ④・⑥◎① EXAMPLE: Laura lngalls Wilder published her first b00k and she was sixty-five years 01d then. (A) and she was sixty-five years 01d then (B) when she was sixty-five years 01d (C) at age sixty-five years 01d (D) upon reaching sixty-five years (E) at the time when she was sixty-five 4. Many memos were issued by the director Ofthe agency that had an insulting tone, according tO the staff members. Many memos were issued by the director 0f the (A) agency that Many memos were issued by the director 0f the (B) agency wh0 The issuance of many memos by the director of (C) the agency which The director of the agency issued many memos (D) that The director of the agency, who issued many (E) memos that 5. Consumers are beg inning tO take notice Of electric cars because they are quiet, cause no air pollution, and gas- Oline iS not used. (A) cause no air pollution, and gasoline is not used (B) air pollution is not caused, and gasoline is not used (C) cause no air pollution, and use no gasoline (D) causing no air pollution and using no gasoline (E) air pollution is not caused, and no gasoline is used 6. Light reaching earth from the most distant stars onginated billions 0f years ago ・ reaching earth from the most distant stars (A) (B) which reaching earth from the most distant stars (C) from the most distant stars reaching eanh that is from the most distant stars and reaches (D) earth (E) reaching earth which is from stars that are most distant Answer Key 阨 c 0 2. B 3. E Mathematics 破 2. C 3. E 4. D 6. E 9 ・ 0 - ーっ 4 3 一 -4 - ) -6 っ′ - 8 9- -0 ーっ 4 「 0 -4- 5 ) ・ 6 1 1 ーっ 4 っ一つ 4 っ 4 っ 4 9- -0 っ 4 3 一 -4 つ」っ・一つ 4 っ 4 っ 4 「 0 っ 0 っ 0 ( 」 -4 - ) ・ 6 7 ・ 8 0 ノ -0 っ 4 っ 4 っ一つ 4 っ 4 「 0 「 0 っ 0 「 0 「 0 「 0 「 1 一つ 0 4- 7 ・ 8 9- 0 ーっ 4 2. D
121 8. 9. 10. 12. 13. 14. 15. 16. - remarks are circulated, we can only When such - blame and despise those who produce them. (A) adulatory (B) chance (C) rhetorical (D) redundant (E) reprehensible The stereotypical image of masculinity assumes that weeping is - unmanly" behavior, and not simply a human reaction which may be - either sex. (A) inexplicably.. repented (B) excessively.. discerned (C) essentially.. defined (D) inherently.. adopted (E) intentionally.. exaggerated We need more men and women 0f culture and enlightenment in our society ; we have t00 many - among us. (A) pedants (B) philistines (C) ascetics (D) paragons (E) apologists Courteously and - but persistently, the members Of the special investigatory commission asked question after question Of all the President's aides. (A) intrusively (B) belligerently (C) urbanely (D) remorselessly (E) intermittently - grouping Of Many educators argue that a - students would improve instruction because it would limit the range Of student abilities in the classroom. (A) heterogeneous (B) systematic (C) homogeneous (D) sporadic (E) fragmentary As news Of his indictment spread through the town, the citizens began tO - - him and tO avoid meeting him. (A) ostracize (B) congratulate (C) desecrate (D) minimize (E) harass These sporadic raids seem tO indicate that the enemy iS waging a war Of - - rather than attacking us directly. (A) retribution (B) attrition (C) conquest (D) subversion (E) words - and not enough serious There are t00 many - workers. (A) sycophants (B) kleptomaniacs (C) novices (D) dilettantes (E) zealots Unlike W. E. B. Dubois, who was - - of the vocational emphasis in black education, Booker T. Washington favored - - the limited funds available Practice Exercises for educating blacks tO programs that prepared people for practical j0bs. (A) critical.. restricting (B) aware.. confining (C) suspicious.. denying (D) protective.. allotting (E) appreciative.. allocating 18. 20. 21. 22. 23. Many elderly people are c 叩 able 0f working, but they are kept from gainful employment by the - of those employers whO mistakenly believe that young people alone can give them adequate servlce. (A) philosophy (B) parsimony (C) conservatism (D) rationalizations (E) short-sightedness The college president made the - - statement that no student athlete on academic probation, not even the top-scorer Of the varsity team, would be allowed tO participate in intercollegiate sports. (A) impertinent (B) uncontroversial (C) opinionated (D) categorical (E) equivocal The fire marshalls spend many hours seeking the cause Of the - - in which SO many people were killed and so many others hospitalized with m 可 0 「 burns. (A) maelstrom (B) labyrinth (C) conflagration (D) to 印 or (E) carnage If you come tO the conference table with such an - attitude, we can not expect tO reach any harmonious agreement. (A) exemplary (B) iridescent (C) indolent (D) obdurate (E) unwonted I can vouch fo 「 his honesty; I have always found him - - and carefully observant of the truth. (A) arbitrary (B) plausible (C) volatile (D) veracious (E) innOCUOUS This well-documented history is Of importance - accomplishments Of because it carefully - - the - lndian artists whO are all t00 little known tO the public at large. (A) recognizes.. negligible (B) overlooks.. purported (C) scrutinizes.. illusory (D) distorts.. noteworthy (E) substantiates.. considerable - by an excess Of Perhaps because he feels - parental restrlctions and rules, at adolescence the repressed child may break out dramatically. (A) nurtured (B) appeased (C) confined (D) fascinated (E) liberated
S01ving 阨市 Problems 361 19. Nancy rides her bicycle 10 miles at an average rate Of 12 miles per hour and 12 miles at an average rate Of 10 miles per hour. The average rate for the entire trip is approximately (A) 2 (B) 10 (C) 11 (D) 21 (E) 22 20. How many miles can a motorist travel from 8 : 55 A. M. tO 9 : 15 A. M. if his average rate is 36 miles per hOllr? (A) 12 (B) 24 (C) 36 (D) 48 (E) 108 21. Ms. Quigley runs ) , yards in seconds. What would her rate be, in yards per second, if She ran twice as far in 10 seconds? (A) (B) 100 十 s (D) 十 10 22. A wheel rotates 10 times each minute and moves 20 feet during each rotation. HOW many feet does the wheel move in 1 hour? (A) 120 (B) 200 (C) 600 (D) 1 , 200 (E) 12 , 000 23. Two automobiles travel in the same direction at 40 miles per hour and 50 miles per hour, respectively. HOW many hours after they are alongside of each Other will they be 18 miles apart? (A) 0.36 (B) 0.40 (C) 0.45 (D) 1.80 (E) 2.50 24. A mile runner is clocked at 58 seconds after the first ー mile ( 440 yards) and at 1 minute 56 seconds after he has run ー mile. What rate, in yards per second, must he maintain for the final tWO quarters if he is tO run a 4-minute mile? (A) 7.0 ( B ) ・ 7.1 (C) 7.3 (D) 7.6 (E) 7.8 25. Ms. Beedle rides her bicycle at an average rate of 川 kilometers per minute. Ms. C0ddle walks half the distance in 3 times the length Of time. What is Ms. Coddle's rate, in kilometers per minute? 2 川 (C) (E) (A) (B) 40 6 90 26. Mr. Bailey travels 川 miles at miles per hour, and Mr. Barnes travels the same distance but at a slower rate 0f わ miles per hour. What is the difference, in hours, between the time taken by Mr. BaiIey and the time taken by Mr. Barnes? 2 川 (B) (A) (E) 27. HOW much farther can a motorist traveling at 35 miles per hour for ん hours travel than a motorist whO travels at 40 miles per hour for ん 2 hours? (A) 70 ー 5 ん (B) 80 ー (C) 45 (D) 5 ん一 80 (E) 5 ん十 80 28. The 、、 MISTRAL" connects Paris and Lyons, a distance 0f 320 miles. At an average rate 0f 78 miles per hour, hOW many minutes does the trip take? (A) 244 (B) 245 (C) 246 (D) 408 (E) 410 29. The 、、 SUD-EXPRESS" averages a rate of 73 miles per hour in its run from Paris tO Bordeaux. What is the distance, in miles, between these tWO cities, if the trip'takes 297 minutes? (A) 246 (B) 361 (C) 365 (D) 369 (E) 407 30. If a wheel rotates 12 times each minute, how many degrees does it rotate in 5 seconds? (A) 60 (B) 150 (C) 240 (D) 360 (E) 1 , 800 引 . By rail the trip from BOSton t0 New York is 2 い miles, while by airplane it is 188 miles. HOW many hours shorter is the trip by plane traveling at 225 miles per hour than by train traveling at 54 miles per hour? (A) 2.98 (B) 3.0 (C) 3 」 4 (D) 4.0 (E) 4.5 32. Mr. Walker travels miles in わ hours, and then c miles in d hours. How many hours will be needed tO travel 1 , 000 miles if he maintains this average rate? 1000 (B) (A) わ十 d 十 c 1000 ( わ + の 十 c (D) m00 ( わ + の ロ十 c 33. The elevator in an eleven-story office building travels at the rate Of one floor per ー minute, which allows time for picking up and discharging passengers. At the main floor and at the tOP floor' the operator stops for 1 minute. HOW many complete trips will an operator make during a 7- hour period? (A) 20 (B) 30 (C) 60 (D) 76 (E) 120 HOW many minutes will it take a police car tO 34. respond t0 a call d miles away if the P01ice car travels at 川 miles per hour? 市れ d 60 イ 60 川 ( E) (D) (B) 60 Ms. Barrow travels from London tO Tintern 35. Abbey, a distance 0f 250 miles, in 5 ー hours. After resting for 20 minutes, she returns tO London in 4 hours 40 minutes. What iS her average rate, in miles per hour, for the round trip? (A) 43 (B) 44 (C) 45 (D) 46 (E) 48 2 い + 10 ) (C) 1000 1000 (C) わ十 c + d 3 (A) わ一わ (C) (D)
3 Reviewing Mathematics Bar graphs can be either vertical or horizontal (Graph り . Quantities are compared by the height 0 「 length 0f the bar. C ⅳ 0 厄 graphs (Graphs Ⅲ and Ⅳ ) are used to show hOW various sectors share in the whO 厄 . Practice Exercises COST OF SEED PER FIFTY POUNDS ・・、 Seed A ・・ 6. HOW many years Old is a male when he is ー foot taller than the female Of the same age? (A) 10.5 (B) い (C) い (D) ロ (E) 20 7. HOW many years 0 旧 is a female when she is 4 feet 7 inches tall? (A) 9.2 (B) 9.5 (C) 9.6 (D) 区 3 (E) 21 8. According tO this graph, hOW many years elapse between the occasions when males and females of the same age are a ト 0 Of the same height? (A) 4 (B) 8 (C) 9 (D) い (E) 22 9. How 0 旧 is a male when he is 20 percent taller than a female is at the age 0f 10.5 years? (A) 10 (B)•川 .5 (C) 凵 (D) 14.5 (E) 15.2 Seed B : 50 60 10 0 40 Cost (dollars) GRAPH I QUESTIONS 1 ー 4 催 F 田 10 GRAPH l. 30 20 l. What is the cost of に一 pounds of Seed B? (A) $IO. (B) $ 20. (C) $ 40. (D) $ 60. (E) $ 75. 2. How many pounds of Seed C will I get for $ 30 ? 1 (B) 25 (C) 50 (D) 100 (E) 900 (A) 12 ー 2 3. The price of 1 pound of Seed ℃ is what percent of the price of 1 pound of Seed B? (A) 20 % (B) 33 ー % (C) 66 ー % (D) 120 % (E) 150 % 4. What is the ratio of the price of 20 pounds of Seed B to the price of 20 pounds of Seed A? (A) 1 : 1 (B) 1 : 2 (C) 2 : 1 (D) 2 : 3 (E) 4 : 1 Protein 15 % Other dry materials 15 % Water 70 % DISTRIBUTION OF MATERIALS IN THE HUMAN BODY ()s Percentages of Total Body Weight) GRAPH III 口を爨ロロロ 一口 00 をロロ ロロロ 0 石ロ . 0 5- 0 5 ~ 0 】 5 ) 0 ( 亀 u 一 ) トエ D 工工 Males Females Muscles 1 3 Skin 1 10 Hormones, enzymes, antibodies, and Other protelns Rate 0 「 growth in human beings 8 9 10 い 12 13 図 ロ 1 8 ー 9 20 2 ー 22 Age ( years) GRAPH Ⅱ QUESTIONS 5 ー 9 F 田間 GRAPH 5. How many years old is a male when he reaches the height 0f an 11-year-old female? (A) 10 (B) ・ 11 (C) 12 (D) 12.2 (E) 12.5 Bones 1 5 DISTRIBUTION OF PROTEINS IN THE HUMAN BODY (Fraction of Total Body Weight) GRAPH IV
SOlving e 市 ProbIems 367 HOW many more times efficient is the United States than the U. S. S. R. in the production of ー quart Of milk as compared tO the production of 1 pound Of potatoes? (A) 1.7 (B) 2.5 (C) 3.5 (D) 6 田 ) 幻 APPROXIMATE WORKING TIME ()n minutes) REQUIRED TO PRODUCE Commodity U. S. S. R. 1 Quart of Milk 42 1 Pound of Potatoes 7 50. 7 2 1 っ ~ っ ) 4- 5 ) -6 7 ー 8 9. 0 32. 33. 34. 36. 38. 39. 40. ー HOW many pounds of pure salt must be added to 30 pounds Of a 2 percent solution Of salt and water tO increase it tO a 10 percent solution? Since 2 % of the 30 lb. is salt, there is 0.6 lb. of salt. Add x lb. of salt to the solution, and set up the ratio Of the new amount Of salt, x 十 0.6 , tO the new amount Of solution, x 十 30. x 十 0.6 x 十 30 2 3 ・ HOW much water must be added to 3 quarts of a 10 percent solution Of acid tO reduce it tO a 6 percent solution? Let x be the amount Of water added. Then set up the ratiO Of quarts Of acid in the original solution tO the number Of quarts Of new solution. 0.3 quart Ofacid in original solution ( 3 十 x) quarts ofnew solution Mixture and SOIution ProbIems The principles of fractions are used in solving prob- lems involving mixtures or solutions. One useful fO 「 - m u ね i S : 1 Quantity ofsubstance dissolved Fractional part of solution containing TOtal quantity Of SOIuti011 dissolved substance Examples ■ A 10-gaIIon solution of disinfectant contains 1 gallon Of disinfectant. What is the percent concentration Of the solution? 十 1 = 10 % Practice Exercises 1. How many quarts of water must be added to 10 quarts 0f a1C0h01 that is 95 percent pure in order to Obtain a solution that is 50 percent pure? (A) 0.5 (B) 5 (C) 9 (D) 10 (E) 15 2. An alloy Of copper and tin is 20 percent copper. HOW many pounds of copper must be added to 20 pounds 0f the alloy in order for the resulting alloy to be 50 percent copper? (A) 6 (B) 12 (C) 12.5 (D) 13 (E) 14 3. A certain grade Of gun metal (a mixture Of tin and copper) contains 16 percent tin. HOW much tin' in pounds, must be added t0 410 pounds 0f this gun metal tO make a mixture that is 18 percent tin? (A) 5 (B) 6.5 (C) 7 (D) 8 (E) 10 4. Of 24 pounds of salt water, 8 percent is salt; 0f another mixture, 4 percent is salt. HOW many pounds 0f the second mixture should be added t0 the first mixture in order tO get a mixture that is 5 percent salt? (A) 18 (B) 36 (C) 54 (D) 63 (E) 72 5. HOW much water, in cubic centimeters, must be added to 100 cubic centimeters Of 80 percent solution Of boric acid tO reduce it tO a 50 percent solution? (A) 30 (B) 40 (C) 50 (D) 60 (E) 84 6. HOW many quarts 0f pure alcohol must be added t0 10 quarts Of a mixture that is 15 percent alcohol tO
■ viable ADJ. capable of maintaining life. The infant, though prematu 「 ely born, is ゾわ / and has a good chance 10 sur- VlVe. viand N. food. There was a variety of viands at the feast. vicarious ADJ. acting as a substitute; done by a deputy. Many people get a / / / 0 し s thrill atthe movies by imagin- ing they are the characters on the screen. vicissitude N. change of fortune.l am accustomed life's vicissitudes, having experienced poverty and wealth, sick- ness and health, and failure and success. victuals N. f00d 」 am very happy 10 be able to provide you with these / / / S 川 know you are hungry. vie V. contend; compete. When we V/& with each Other fO 「 hiS app 「 oval, we are merely weakening ourselves and strengthening him. vigilance N. watchfulness. Eternal vigi/ance is the price 0f liberty. vignette N. picture; short literary sketch. The New Yorker published herlatest レ〃 e な e. ー vigor N. active strength. Although he was over seventy years 0 旧 , Jack had the / 0 「 Of a man in his prime. vigor- ous, ADJ. ■ vilify v. slande 「 . She is a lia 「 and is always trying 10 / 〃 / タ my 「 eputation. vilification, N. vindicate v. clear Of charges.l hope tO vindicate my client and return him tO society as a f 「 ee man. vindictive ADJ. 「 evengeful. She was ve 「 y / 〃 d / ル e and never forgave an injury. viper N. poisonous snake. The habitat Of the hO 「 ned vper, a particularly venomous snake, is in sandy regions like the Sahara 0 「 the Sinai peninsula. virile ADJ. manly.l dO not accept the premise that a man is viri/e on ツ when he is belligerent. ⅵ u ADJ. in essence; fO 「 practical purposes. She iS a レ / 「ル a / financial wizard when it comes 10 money matters. ■ virtuoso N. highly skilled artist. Heifetz is a viOIin / / 「ル 0S0. ・ virulent ADJ. ext 「 emely poisonous. The virus is highly レ / ん / e and has made many Of us Ⅲ f0 「 days. Test Word List 49 Synonyms and ス〃わ ms Each Of the following questions consists of a word in capital letters, followed by five lettered words 0 「 ph 「 ases. Choose the lettered word 0 「 phrase which is most nearly simila 「 0 「 the opposite Of the word in capitalletters and write the letter Of your ChOice on your answer pape 「 . 721. VENAL (A) springlike (B) honest (C) angry (D) indifferent (E) going 722. VENERATE (A) revere (B) age (C) reject (D) reve 「 berate (E) degenerate 723. VENIAL (A) unforgivable (B) unforgettable (C) unmistaken (D) fearful (E) fragrant Basic WO 市 List 267 virus N. diseasecommunicator. The doctors are lookingfor a specific medicine tO control thiS virus. visage N. face; appearance. The stern visage Of the judge indicated that she had decided tO impose a severe penalty. visceral ADJ. felt in one's inner organs. She disliked the viscera/ sensations she had whenever she rode the 「 0 日 e 「 coaster. viscous ADJ. sticky; gluey. MeIted ね「 is a viscous sub- stance. visionary ADJ. produced by imagination; fanciful; mystical. She was given tO V/S/bnaryschemes WhiCh neve 「 material- ized. 引 SO N. vitiate v. spoil the effect of; make inoperative. Fraud will / / the contract. vitreous ADJ. pertaining t0 0 「 resembling glass. AIthough this plastic has many vitreous qualities such as t 「 anspar- ency, it is unbreakable. VitriOliC ADJ. corrosive; sarcastic. Such / / なわ / / と C 「 iticism iS uncalled fo 「 . vitupe 「 ative ADJ. abusive; scolding. He became more vitu- perative as he 「 ealized that we were not going tO grant him his wish. vivacious ADJ. animated; gay. She had always been レル a ー C/OLJS and sparkling. vivisection N. act Of dissecting living animals. The Society fO 「 the Prevention Of Cruelty to Animals opposed wvisec- ″ön and deplored the practice Of using animals in scientific expe 「 iments. VlXen N. female fox; ill-tempered woman. Aware that she was right once again, he IOSt his temper and called her a shrew and a vixen. vizier N. powerful Muslim government official. The レを「 decreed that all persons in the city were 10 be summoned tO the ceremony. vociferous ADJ. clamorous; noisy. The crowd grew / OC / た「 - 0 し s in its ange 「 and threatened tO take the law intO its own ・ hands. vogue N. popular fashion. Jeans became the vogue on many college campuses. (D) orchestra (E) frock 729. VIAND (A) wand (B) gown (C) fOOd (D) fOOIish (E) inadequate 728. VIABLE (A) moribund (B) salable (C) useful (E) tract 727. VESTIGE (A) trek (B) trail (C) trace (D) t 「回 (D) rarity (E) household 726. VERITY (A) sanctity (B) reverence (C) falsehood (D) autumnal (E) frequent 725. VERDANT (A) poetic (B) green (C) red (D) truthful (E) inst 「 umental 724. VERACIOUS (A) worried (B) slight (C) alert
Test 7/Section 5 731 SO ⅳ 0 each 0f the remaining problems in this section using any available space for scratchwork. Then decide which is the best 0f the choices given and blacken the corresponding space on the answer sheet. 29. 30. 31. 32. 28. If ん is the average of 旧 and ー凵 , then the average of ん and ー 8 is A father can dO a jOb as fast a.s tWO sons workino together. If one son does the jOb alone in three hours and the Other does it alone in six hours, hOW many hours does ittake the father い do the job alone? How long would it take a car traveling at 3 ( ) lnile.s per hour tO cover a di.stance Of 44 feet? ロ mi. 33. 34. 5280 ft. ) (A)I sec. (D) ー min. HOW many square units are there in the shaded trianole? (A)3 (B)4 (C) 5 (D)6 (E)9 げ the length and the width of a rectangle are each doubled, by what percent is the area increa.sed? (A) 30 % (B) 75 % (C) Ⅲ 0 % (D) 300 % (E) 400 % (B) 2.64sec. (C) 5.2 sec. ( E ) 7.7 m i n. HOW many student.s are there in a clas.s if tWO stu- dent.s remain after four rows Of seat.s are filled. and mne stlldents remain after three row.s ()f seat.s are filled? (A) 幻 (B) 22 (C) 28 (D) 30 (E) 32 A pulley whO.se diameter is 9 inches i.s connected by a belt い another pulley whose diameter is 6 inches. If the larger pulley run.s atl 200 revolutions per minute 、 at hOW many revolution.s per minute does the smaller pulley run? (A) 800 (B) 旧 80 ( C ロ 600 ( D ロ 800 (E) 2000 35. ln pentagon ABCDE, AB 亠 BC. (A) 450 。 (B) 540 。 (C) 630 。 (E) 8 旧。 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. (D) 720 。 S T 0 P
368 Reviewing Mathematics 、 make a mixture that will be 25 percent alcohol? 3 (C) ト (D) 2 ー (E) 4 3 4 7. A solution of 27 gallons bf acid contains 9 gallons Of pure acid. HOW much water, in gallons, should be added to produce a 25 percent solution 0f this acid? 3 (B) ・ 9 (C) 15 ー (D) 18 (E) 27 (A) 6 ー 4 8. A solution is made by mixing quarts Of pure salt with わ quarts Of water. What is the percent solu- tion Of the salt? 100 (A) a 十わ 十わ (D) % (E) 100 朝 + の % 100 9. A chemist has 80 pints Of a 20 percent salt solution. HOW many pints Of pure salt must be added 朝 produce a solution that is 30 percent pure salt? (A) 4.6 (B) 8 (C) 1L4 (D) (E) 27.4 10. How much alcohol, in pints, must be added to 80 pints 0f a solution 0f a に 0h and iodine that is 20 percent iodine, in order tO produce a 15 percent solution Of iodine? (A) 4.7 (B) 10.7 (C) 12 (D) 12.7 (E) 26.7 11. A pharmacist wishes tO convert 100 ounces of a 3 percent tincture Of iOdine tO a 2 percent tincture Of iodine. How many ounces 0f alcohol should she add tO her original solution? (A) 1 (B) 50 (C) 67 (D) 100 (E) い 0 12. Sixteen ounces of fresh orange juice contains 216 calories, and 16 ounces Of fresh grapefruit juice contains 174 calories. If an 8-ounce mixture Of these tWO juices contains 94 calories, what fraction Of the mixture iS orange 」 uice? 1 (B) (E) 3 54 108 13. When at least 25 cigars are purchased, the price of 、、 Corona Royals" is $ 9.75 for 25 and the price of "Coronas" is $ 4.50 for 25. What is the cost of 70 、、 Coronas" and 30 、、 Corona Royals" ? (A) $ 18.00 (B) $ 23.25 (C) $ 24.30 (D) $ 28.50 (E) $ 32.50 14. HOW many quarts Of a 90 percent solution 0f alcohol should be mixed with a 75 percent solution of alcohol in order t0 make 20 quarts 0f 78 percent solution? (A) 4 (B) 9 (C) 11 (D) 15 (E) 16 い . A c•onfectioner mixes 9 parts Of a grade Of candy that costs 〃 cents a pound with 4 parts Of another grade Of candy that costs 1 ー times as much. What is the cost, in cents, Of 1 pound Of this mixture? 35 26 16. A 64-pound mixture 0f sand and gravel is 25 percent sand. HOW many pounds Of sand must be added tO produce a mixture that is 40 percent gravel? (A) 9.6 (B) 16 (C) 38.4 (D) 40 (E) 56 17. HOW many pounds Of water must be added to 48 pounds of alcohol t0 make a solution that is 25 percent alcohol? (A) 36 (B) 48 (C) 64 (D) 144 (E) 192 18. 6-ounce can Of frozen orange Jllice concentrate contains 300 calories, while an 8-ounce glass Of fresh orange 」 uice contains 100 calories. How many ounces Of water should be added tO a 6-ounce can Of concentrate in order tO produce a drink with the same caloric value per ounce as fresh orange 」 uice? ( の . ・ Water has no caloric value. ) (A) 18 (B) 24 (C) 400 (D) 3 , 744 (E) 3 , 750 19. GroweII sells Grade A grass seed at 12 per ounce, and Grade A Plus at 350 per ounce. What is the COSt Of a l-pound mixture containing 10 ounces Of Grade A with the rest Grade A PIus? (A) $ L65 (B) $ 3.30 (C) $ 3.40 (D) $ 6.80 (E) $ 4.70 (B) ト 1004 20. A recipe for a cheese cake calls for 12 ounces 0f cottage cheese and 6 ounces Of cream cheese. If there are 216 calories in 8 ounces Of cottage cheese and 106 calories in 1 ounce Of cream cheese, hOW many calories are there in 36 ounces Of the cheese mixture? (A) 960 (B) 972 (C) 1 , 920 (D) 3 , 816 (E) 4 , 788 Answer Key 4. 1 ′ 8 9- 0 1 1 -1 つん 9- 0 1 っ 4 1 -1 -1