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1、2023年上海在职攻读硕士联考考试考前冲刺卷(1)本卷共分为1大题50小题,作答时间为180分钟,总分100分,60分及格。一、单项选择题(共50题,每题2分。每题的备选项中,只有一个最符合题意) 1.How many integers between 100 and 150, inclusive, can be evenly divided by neither 3 nor 5 ?()A.33B.28C.27D.25E.242.Is the positive integer n equal to the square of an integer(1)For every prime numbe
2、r p, if p is a divisor of n, then so is p2.()(2)is an integerA.条件(1)充分,但条件(2)不充分.B.条件(2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.3.Ben and Ann are among 7 contestants from which 4 semifinalists are to be selected. Of the different p
3、ossible selections, how many contain neither Ben nor Ann ?()A.5B.6C.7D.14E.214.All of the following have the same number of distinct prime factors EXCEPT ?()A.20B.21C.24D.30E.455.The table above shows the cost, in dollars, of traveling to and from cities A, B, C, D, E, and F. A sales representative
4、wants to leave from A, travel to C, E, and F, and return to A. If the first city that the sales representative travels to must be E,what is the minimum possible cost for the entire trip ?()A.$13B.$14C.$16D.$18E.$206.If x and y are integers, is xy+1 divisible by 3.()(1)When x is divided by 3, the rem
5、ainder is 1.(2)When y is divided by 9, the remainder is 8.A.条件(1)充分,但条件(2)不充分.B.条件(2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.7.How many positive prime numbers are less than the integer n ?()(1)14n20(2)13n17A.条件(1)充分,但条件(2)不充分.B.条件(
6、2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.8.What is the remainder when the positive integer x is divided by 2 ?()(1)x is an odd integer.(2)x is a multiple of 3.A.条件(1)充分,但条件(2)不充分.B.条件(2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联
7、合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.9.If the sum of the first n positive integers is S,what is the sum of the first n positive even integers, in terms of S ?()A.B.SC.2SD.2S+2E.4S10.A computer is programmed to generate a list of multiples of prime numbers 2,3 and 5, as sh
8、own below:How many integers less than 100 will appear on all of the lists of programs produced above ?()A.NoneB.1C.3D.5E.An infinite number of integers11.How many of the integers between 25 and 45 are even ?()A.21B.20C.11D.10E.912.When the integer n is divided by 6, the remainder is 3. Which of the
9、following is NOT a multiple of 6 ?()A.n-3B.T+3C.2nD.3nE.4n13.For any integer n greater than 1, denotes the product of all the integers from 1 to n, inclusive. How many prime nunbers are there between and , inclusive ?()A.NoneB.OneC.TWOD.ThreeE.Four14.If the two-digit integers M and N are positive an
10、d have the same digits, but in reverse order, which of the following CANNOT be the sum of M and N ?()A.181B.165C.121D.99E.4415.Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time
11、 without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10 ?()A.ThreeB.FourC.FiveD.SixE.Seven16.If when a certain mteger x is divided by 5 the remainder is 2, then each of the following could also be an integer ?()A.AB.BC.CD.DE.E17.Which o
12、f the following procedures is always equivalent to adding 5 given numbers and then dividing the sum by 5 Multiplying the 5 numbers and then finding the 5 th root of the product. Adding the 5 numbers, doubling the sum, and then moving the decimal point one place to the left. Ordering the 5 numbers nu
13、merically and then selecting the middle number.()A.NoneB. onlyC. onlyD. onlyE. and 18.If k and n are integers, is n divisible by 7 ?() (1)n-3=2k (2)2k-4 is divisible by 7.A.条件(1)充分,但条件(2)不充分.B.条件(2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合
14、起来也不充分.19.What is the units digit of (13)4(17)2(29)3 ?()A.9B.7C.5D.3E.120.If the sum of a set of ten different positive prime numbers is an even number, which of the following prime numbers CANNOT be in the set ?()A.2B.3C.5D.7E.1121.What is the probability that events A and B both occur ?() (1)The p
15、robability that event A occurs is 0.8. (2)The probability that event B occurs is 0.6.A.条件(1)充分,但条件(2)不充分.B.条件(2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.22.Is the positive integer x an even number ?() (1)If z is divided by 3, the re
16、mainder is 2. (2)If x is divided by 5, the remainder is 2.A.条件(1)充分,但条件(2)不充分.B.条件(2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.23.A certain alloy contains only lead, copper, and tin. How many pounds of tin are contained in 56 pounds
17、of the alloy ?()(1)By weight the alloy is lead and copper.(2)By weight the alloy contains 6 parts lead and 5 parts copperA.条件(1)充分,但条件(2)不充分.B.条件(2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.24.If n=p+r, where n, p, and r are positive
18、 integers and n is odd, does p equal 2 ?() (1)p and r are prime numbers. (2)r2A.条件(1)充分,但条件(2)不充分.B.条件(2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.25.Any decimal that has only a finite number of nonzero digits is a terminating decima
19、l. For example, 24, 0.82, and 5.096 are three terminating decimals. If r and s are positive integers and the ratio is expressed as a decimal, is a terminating decimal ?()(1)90r100(2)s=4A.条件(1)充分,但条件(2)不充分.B.条件(2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分
20、,条件(1)和条件(2)联合起来也不充分.26.If the average (arithmetic mean) of 5 positive temperatures is 32 degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be ?()A.AB.BC.CD.DE.E27.Coins are to be put into 7 pockets so that each pocket contains at least one coin.
21、At most 3 of the pockets are to contain the same number of coins, and no two of the remaining pockets are tO contain an equal number of coins. What is the least possible number of coins needed for the pockets ?()A.7B.13C.17D.22E.2828.How many two-element subsets of 1, 2, 3, 4are there that do not co
22、ntain the pair of elements 2 and 4 ?()A.OneB.TWOC.FourD.FiveE.Six29.There are 4 card-processing machines in an office. The fastest of these machines processes x cards in 7 hours and the slowest processes x cards in 8 hours. Which of the following could NOT be the average time per machine for each of
23、 the 4 machines to process x cards ?()A.7.2B.7.3C.7.5D.7.6E.7.730.If x and y are positive integers and x is a multiple of y,is y=2 ?() (1)y1 (2)x+2 is a multiple of y.A.条件(1)充分,但条件(2)不充分.B.条件(2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不
24、充分.31.The pages of a report are numbered consecutively from 1 to 10. If the sum of the page numbers up to and including page number z of the report is equal to one more than the sum of the page numbers following page number x, then x=().A.4B.5C.6D.7E.832.The addition problem above shows four of the
25、24 different integers that can be formed by using each of the digits 1, 2, 3 and 4 exactly once in each integer. What is the sum of these 24 integers ?()A.24,000B.26,664C.40,440D.60,000E.66,66033.If n is a positive integer, is the value of b-a at least twice the value of 3n-2n ?()(1)a=2n+1 and b=3n+
26、1(2)n=3A.条件(1)充分,但条件(2)不充分.B.条件(2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.34.What is the least possible product of 4 different integers, each of which has a value between -5 and 10, inclusive ?()A.-5040B.-3600C.-720D.-600E.-12035.I
27、f n is a positive integer and k+2=3n, which of the following could NOT be a value of K ?()A.1B.4C.7D.25E.7936.If r=23527 and s=22325, which of the following is equal to the greatest common divisor of r and s ?()A.25B.225C.2352D.2357E.233252737.All trainees in a certain aviator training program must
28、take both a written test and a flight test, If 70 percent of the trainees passed the written test, and 80 percent of the trainees passed the flight test, what percent of the trainees passed both tests ?() (1)10 percent of the trainees did not pass either test. (2)20 percent of the trainees passed on
29、ly the flight test.A.条件(1)充分,但条件(2)不充分.B.条件(2)充分,但条件(1)不充分.C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.D.条件(1)充分,条件(2)也充分.E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.38.If x, y, and z are single-digit integers and 100(x)+1,000(y)+10(z)=N, what is the units digit of the number N ?()A.0B.1C.xD.yE.z39.When the in
30、teger k is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?() 2k 6k 4k+6A. onlyB. onlyC. onlyD. and onlyE.,and 40.An even number x divided by 7 give some quotient plus a remainder of 6. Which of the following, when added to x, gives a sum wh
31、ich must be divisible by 14 ?()A.1B.3C.7D.8E.1341.For any positive integer n, n1, the length of n is the number of positive primes (not necessarily distinct) whose product is n. For example, the length of 50 is 3 since 50=(2)(5)(5)Which of the following integers has length 3 ?()A.3B.15C.60D.64E.1054
32、2.儿子小时候,每次吵闹,我就拿起电话筒拨117给他听117是报时台,会不断播报时间,每5秒一次儿子的好奇心很强,一听报时台就停止哭闹了很久以后,有一次他听报时台,满脸疑惑地问我:“为什么电话里的鸟都飞来飞去,有时候多一只鸟,有时候少一只鸟”我把电话拿来听,话筒里播着:“下面音响十一点五分五秒下面音响十一点六分零秒”原来,儿子把“秒”听成_,“十一点五分五鸟,十一点六分零鸟”,这不是非常奇怪吗我正在思索的时候,儿子把话筒抢走,说:“爸,你听那么久,一只鸟又飞走了”我每次想到时间宝贵,就会想起这件往事,生命里的每一秒都是一只宝贵的鸟,它不断地张开翅膀,飞去,仿佛天上的鹭鸶成行最悲哀的是,每一只鸟
33、都不属于我,每一只鸟都留不下来本文的主旨是_A儿子很有好奇心B儿子颇有想像力C生活的每一天都有无数只鸟D时间宝贵 43.黑德兰_澳大利亚西海岸的著名海港,夏目的黄昏,海滩上到处都是消夏纳凉的人群*下列对于海兔的叙述不正确的一项是_A海兔不是脊椎动物,它与陆地上的兔子不同B海兔是生活在浅海里的一种软体动物,有自己的贝壳C海兔头部长有两对触角,前面一对专管触觉,后面一对专管嗅觉D海兔以海带和海藻为主要食物,既不会跑,也不会跳 44.每一个时代有一个时代的主潮,小的波澜总得跟着主潮的方向推进,跟不上的只好留在港汊里干死完事战国秦汉时代的主潮是散文一部分诗服从了时代的意志,散文化了,便成就了“楚辞”和
34、初期的汉赋,这些都是时代的光荣另一部分诗,如郊祀歌、安世房中歌、韦孟“讽谏诗”之类,跟不上潮流,便成了港汊中的泥淖明代的主潮是小说,先妣事略、寒花葬志和项脊轩志的作者归有光,采取了小说的以寻常人物的日常生活为描写对象的态度,和刻画景物的技巧,总算沾上了时代潮流的边儿,所以是散文家中欧公以来惟一顶天立地的人物其他同时代的散文家,依照各人小说化的程度,也多多少少有些成就,至于那班诗人们只忙于复古,没有理会时代,无疑那将被未来的时代忘掉以上两个历史的教训,是值得我们的新诗人牢牢记住的四个文化同时出发,三个文化都转了手(指印度、波斯、希腊的文化传统发生了变化),有的转给近亲,有的转给外人,主人自己却都
35、没落了,也许是因为他们都只勇于“予而怯于“受”中国是勇于“予”而不太怯于“受”的,所以还是自己文化的主人,然而也只免于没落的劫运而已为文化的主人自己打算,“取”不比“予”重要吗所以仅仅不怯于“受”是不够的,要真正勇于“受”让我们的文化更彻底的向小说戏剧发展,等于说要我们死心塌地走人家路这是一个“受”的勇气的测验,也是我们能否继续是自己文化的主人的测验 (摘自闻一多文学的历史动向)作者认为归有光是“散文家中欧公以来惟一顶天立地的人物”,其主要原因是_A归有光的项脊轩志等被后人传诵,影响很大B归有光的散文以寻常人物的日常生活为描写对象C归有光的散文采取了刻画人物的技巧D归有光的散文采取了小说的某些
36、写法,沾上了明代以小说为主潮的时代潮流的边儿 45.美国时代生活公司1990年出版的人类文明史图鉴一书显示,史学家不可能只是超然物外的旁观者就拿鸦片战争来说,作者谈到英国东印度公司对华贸易难以展开时写道:在马戛尔尼大使扩大英国与中国贸易行动失败的情况下,该公司只好自己想办法来维持贸易平衡但东印度公司能用什么商品来打开中国市场呢答案就是鸦片”看来其中的因果关系是很明显的:因为英方一系列要求(增加通商口岸、减低税率、设立租界等)未获应允,东印度公司才不得己求助于鸦片 其实,即使清政府当初一切照英方的安排行事,不法鸦片贸易仍无法避免第一次鸦片战争后,英方的要求悉数满足,鸦片交易还是不能禁绝,这是最能
37、说明问题的例证而且人类文明史图鉴一书并不讳言:清朝政府早在1729年就颁布了禁烟诏令,嘉庆皇帝一即位(1796年)就下令再次禁烟,但在18世纪末,每年仍有大约1200箱的鸦片运销中国,其中大部分来自孟加拉,东印度公司垄断了那里的鸦片生产 “18世纪末”这一表述方式比较模糊实际上,在马戛尔尼出使中国(1793年)之前,鸦片走私已很猖獗18世纪70年代初,东印度公司因经营不善而岌岌可危黑斯廷斯1774年担任英属印度总督之后就采取了以邻为壑的政策:如果听任印度农民吸食当地盘产的鸦片,财政上当然不无小补,但东印度公司的利益最终将受到损害,即失去健壮的劳动力;在他的坚持下,东印度公司垄断的鸦片销往中国,
38、于是偷运“福寿膏逐渐成为英属印度的支柱产业尽管这位黑斯廷斯在1785年遭受弹劾,但他的鸦片走私政策却留给东印度公司滚滚不断的财源,直到20世纪仍有英国史学家对黑斯廷斯当年的“远见”大加赞赏可以毫不夸张地说,到了19世纪初,英国在印度的统治是靠中国的银两来维持的伯克在弹劾黑斯廷斯时称东印度公司是“有史以来最堕落的公共机构”,其成员系“人类的垃圾、渣滓”当时鸦片问题尚未浮现在公众的视野之内,伯克即使有所听闻大概也不会就此问罪至于马戛尔尼,使华前曾任东印度公司的要职,他不知道清廷明令禁止的鸦片贸易一直在进行吗下面不属于人类文明史图鉴一书观点的一项是 _A清朝政府禁烟的诏令并没有收到实际效果B历史学家
39、不可能只是历史的旁观者C鸦片贸易应该由清朝政府负主要责任D东印度公司向中国偷运鸦片是不得已的选择 46.儿子小时候,每次吵闹,我就拿起电话筒拨117给他听117是报时台,会不断播报时间,每5秒一次儿子的好奇心很强,一听报时台就停止哭闹了很久以后,有一次他听报时台,满脸疑惑地问我:“为什么电话里的鸟都飞来飞去,有时候多一只鸟,有时候少一只鸟”我把电话拿来听,话筒里播着:“下面音响十一点五分五秒下面音响十一点六分零秒”原来,儿子把“秒”听成_,“十一点五分五鸟,十一点六分零鸟”,这不是非常奇怪吗我正在思索的时候,儿子把话筒抢走,说:“爸,你听那么久,一只鸟又飞走了”我每次想到时间宝贵,就会想起这件
40、往事,生命里的每一秒都是一只宝贵的鸟,它不断地张开翅膀,飞去,仿佛天上的鹭鸶成行最悲哀的是,每一只鸟都不属于我,每一只鸟都留不下来根据上下文,在文中横线处填入最合适的词_A“留”B“秒”C“了”D“鸟” 47.黑德兰_澳大利亚西海岸的著名海港,夏目的黄昏,海滩上到处都是消夏纳凉的人群*文中孕妇早产的原因是_A因为不小心拌了一个趔趄B把海兔揣在怀中逗着取乐C外出游玩时没有休息好D丈夫不够关心而心里焦虑 48.每一个时代有一个时代的主潮,小的波澜总得跟着主潮的方向推进,跟不上的只好留在港汊里干死完事战国秦汉时代的主潮是散文一部分诗服从了时代的意志,散文化了,便成就了“楚辞”和初期的汉赋,这些都是时
41、代的光荣另一部分诗,如郊祀歌、安世房中歌、韦孟“讽谏诗”之类,跟不上潮流,便成了港汊中的泥淖明代的主潮是小说,先妣事略、寒花葬志和项脊轩志的作者归有光,采取了小说的以寻常人物的日常生活为描写对象的态度,和刻画景物的技巧,总算沾上了时代潮流的边儿,所以是散文家中欧公以来惟一顶天立地的人物其他同时代的散文家,依照各人小说化的程度,也多多少少有些成就,至于那班诗人们只忙于复古,没有理会时代,无疑那将被未来的时代忘掉以上两个历史的教训,是值得我们的新诗人牢牢记住的四个文化同时出发,三个文化都转了手(指印度、波斯、希腊的文化传统发生了变化),有的转给近亲,有的转给外人,主人自己却都没落了,也许是因为他们
42、都只勇于“予而怯于“受”中国是勇于“予”而不太怯于“受”的,所以还是自己文化的主人,然而也只免于没落的劫运而已为文化的主人自己打算,“取”不比“予”重要吗所以仅仅不怯于“受”是不够的,要真正勇于“受”让我们的文化更彻底的向小说戏剧发展,等于说要我们死心塌地走人家路这是一个“受”的勇气的测验,也是我们能否继续是自己文化的主人的测验 (摘自闻一多文学的历史动向)第二段的“以上两个教训”指的是什么解答正确的一项是_A汉代另一部分诗和明代忙于复古的诗人B汉代另一部分诗跟不上潮流,成了港汊中的泥淖和明代一些诗人忙于复占终被未来时代忘掉C郊祀歌、安世房中歌、韦孟的“讽谏诗”和明代一些诗人没有吸收小说的技法
43、D汉代另一部分诗跟不上潮流,成了港汊中的泥淖和明代一些散文家没吸收小说的技法 49.美国时代生活公司1990年出版的人类文明史图鉴一书显示,史学家不可能只是超然物外的旁观者就拿鸦片战争来说,作者谈到英国东印度公司对华贸易难以展开时写道:在马戛尔尼大使扩大英国与中国贸易行动失败的情况下,该公司只好自己想办法来维持贸易平衡但东印度公司能用什么商品来打开中国市场呢答案就是鸦片”看来其中的因果关系是很明显的:因为英方一系列要求(增加通商口岸、减低税率、设立租界等)未获应允,东印度公司才不得己求助于鸦片 其实,即使清政府当初一切照英方的安排行事,不法鸦片贸易仍无法避免第一次鸦片战争后,英方的要求悉数满足
44、,鸦片交易还是不能禁绝,这是最能说明问题的例证而且人类文明史图鉴一书并不讳言:清朝政府早在1729年就颁布了禁烟诏令,嘉庆皇帝一即位(1796年)就下令再次禁烟,但在18世纪末,每年仍有大约1200箱的鸦片运销中国,其中大部分来自孟加拉,东印度公司垄断了那里的鸦片生产 “18世纪末”这一表述方式比较模糊实际上,在马戛尔尼出使中国(1793年)之前,鸦片走私已很猖獗18世纪70年代初,东印度公司因经营不善而岌岌可危黑斯廷斯1774年担任英属印度总督之后就采取了以邻为壑的政策:如果听任印度农民吸食当地盘产的鸦片,财政上当然不无小补,但东印度公司的利益最终将受到损害,即失去健壮的劳动力;在他的坚持下
45、,东印度公司垄断的鸦片销往中国,于是偷运“福寿膏逐渐成为英属印度的支柱产业尽管这位黑斯廷斯在1785年遭受弹劾,但他的鸦片走私政策却留给东印度公司滚滚不断的财源,直到20世纪仍有英国史学家对黑斯廷斯当年的“远见”大加赞赏可以毫不夸张地说,到了19世纪初,英国在印度的统治是靠中国的银两来维持的伯克在弹劾黑斯廷斯时称东印度公司是“有史以来最堕落的公共机构”,其成员系“人类的垃圾、渣滓”当时鸦片问题尚未浮现在公众的视野之内,伯克即使有所听闻大概也不会就此问罪至于马戛尔尼,使华前曾任东印度公司的要职,他不知道清廷明令禁止的鸦片贸易一直在进行吗下面关于黑斯廷斯的叙述,符合文意的一项是_A黑斯廷斯采取的鸦片贸易政策是具有历史远见的B黑斯廷斯以邻为壑的政策是指:让东印度公司把鸦片销售给印度农民C黑斯廷斯因为推行以邻为壑的政策,而遭受弹劾D最晚从黑斯廷斯担任英属印度总督时起,鸦片就已经销往中国 50.黑德兰_澳大利亚西海岸的著名海港,夏目的黄昏,海滩上到处都是消夏纳凉的人群*面对外来侵犯时,海兔御敌的绝招有_A一种B两种C三种D四种