2022年在职攻读硕士联考考试模拟卷第22测.docx

2022年在职攻读硕士联考考试模拟卷（本卷共分为2大题50小题，作答时间为180分钟，总分100分，60分及格单位： 姓名： 考号： 题号单选题多项选择判断题综合题总分分值 得分 一、单项选择题（共25题，每题2分每题的备选项中，只有一个最符合题意） 1.If S is the sum of the first n positive integers, what is the value of n ？（） (1)S＜20 (2)S2＞220A．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．2.If x and y are integers and xy=5, then (x+y)2=（）A．13B．16C．25D．26E．363.If ω, x, y, and z are non-negative integers, each less than 3, and ω(33)+x(32)+y(3)+z=34，thenω+z=（）。

A．0B．1C．2D．3E．44.How many three-digit numerals begin with a digit that represents a prime number and end with a digit that represents a prime number ？（）A．16B．80C．160D．180E．2405.If p and q are positive integers, what is the value of q ？（） (1)qp-1=1 (2)p=1A．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．6.If k is an integer greater than 44 and less than 51，then which of the following could be the product of 11 and k ？（）A．565B．550C．500D．484E．4407.If n is a prime number greater than 3, what is the remainder when n2 is divided by 12 ？（）A．0B．1C．2D．3E．58.All of the following have the same number of distinct prime factors EXCEPT ？（）A．20B．21C．24D．30E．459.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．z10.If the two-digit integers M and N are positive and 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．4411.If P is a set of integers and 3 is in P, is every positive multiple of 3 in P ？（） (1)If x is in P，then x+3 is in P. (2)If x is in p, then x-3 is in p.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．12.If a and b are positive integers, what is the value of a+b ？（）(1)；(2)The greatest common divisor of a and b is 1.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．13.When the integer n is divided by 6, the remainder is 3. Which of the following is NOT a multiple of 6 ？（）A．n-3B．T+3C．2nD．3nE．4n14.What is the greatest possible length of a positive integer less than 1,000 ？（）A．10B．9C．8D．7E．615.If x is the product of three consecutive positive integers, which of the following must be true ？（） Ⅰ. x is an integer multiple of 3. Ⅱ. x is an integer multiple of 4. Ⅲ. x is an integer multiple of 6.A．ⅠonlyB．ⅡonlyC．Ⅰand ⅡonlyD．Ⅰand ⅢonlyE．Ⅰ, Ⅱ, and Ⅲ16.If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 6, which of the following could NOT be a possible value of M+N ？（）A．86B．52C．34D．28E．1017.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．4S18.If S is an infinite set of real numbers, is there a number in S that is less than every other number in S ？（） (1)Every number in S is an integer. (2)Every number in S is positive.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．19.How many two-digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6 ？（）A．NoneB．OneC．TWOD．ThreeE．Four20.If a sequence of 8 consecutive odd integers with increasing values has 9 as its 7th term, what is the sum of the terms of the sequence ？（）A．22B．32C．36D．40E．4421.If n is a positive integer, then n(n+1)(n+2) is ？（）A．even only when n is evenB．even only when n is oddC．odd whenever n is oddD．divisible by 3 only when n is oddE．divisible by 4 whenever n is even22.If 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．7923.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 which must be divisible by 14 ？（）A．1B．3C．7D．8E．1324.What is the tens digit of positive integer x ？（） (1)x divided by 100 has a remainder of 30. (2)x divided by 110 has a remainder of 30.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．25.If x and y are positive integers and x is a multiple of y，is y=2 ？（） (1)y≠1 (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。