2023年上海在职攻读硕士联考考试考前冲刺卷(1).docx
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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
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