# 2011年黑龙江工商(经企)管理硕士入学考试(GMAT)考试模拟卷

• 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。
• 试卷来源：易哈佛教育

1.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+1 (2)n=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 is an integer, is(x+p)(x+q)an even integer?

(1)q is an even integer. (2)p is an even integer. (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．

3.How many people are directors of both Company K and Company R?

(1)There were 17 directors present at a joint meeting of the directors of Company K and Company R, and no directors were absent, (2)Company K has 12 directors and Company R has 8 directors. (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．

4.Can the positive integer p be expressed as the product of two integers, each of which is greater than 1?

(1)31＜p＜37 (2)p is odd (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．

5.If S is the sum of the first n positive integers, what is the value of n?

(1)S＜20 (2)S2＞220 (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．

6.What is the probability that events A and B both occur?

(1)The probability 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．

7.If p and q are positive integers, what is the value of q?

(1)qp-1=1 (2)p=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．

8.Are there exactly 3 distinct symbols used to create the code words in language Q?

(1)The set of all code words in language Q is the set of all possible distinct horizonal arrangements of one or more symbols, with no repetition. (2)There are exactly 15 code words in language Q. (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．

9.If , where p and q are nonzero integers, is n an integer?

(1)n2 is an integer. (2) is an integer. (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．

10.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．

11.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.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.Exactly how many bonds does Bob have?

(1)Of Bob's bonds，exactly 21 are worth at least\$5,000 each. (2)Of Bob's bonds, exactly 65 per cent are worth less than\$5,000 each. (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．

14.If n=p+r, where n, p, and r are positive integers and n is odd, does p equal 2?

(1)p and r are prime numbers. (2)r≠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．

15.Is the positive integer x an even number?

(1)If z is divided by 3, the remainder 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．

16.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．

17.A certain packing crate contains between 50 and 60 books. How many books are there in the packing crate?

(1)If the books are counted out by three, there will be one book left over. (2)If the books are counted out by sixes, there will be one book left over. (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．

18.A certain alloy contains only lead, copper, and tin. How many pounds of tin are contained in 56 pounds of the alloy?

(1)By weight the alloy is lead and copper. (2)By weight the alloy contains 6 parts lead and 5 parts copper (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. A computer generates non-zero numbers for the figure above so that the product of the numbers along any vertical column is equal to the product of the numbers in any horizontal row. What number does 8 represent? (1)u equals 6. (2)t equals 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．

20.What is the value of the two-digit num-ber x?

(1)The sum of the two digits is 4. (2)The difference between the two digits 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．

21.Is a+b+C+d equal to 4?

(1)a, b, c, and d are each positive. (2)The product abcd equals 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．

22.How many positive prime numbers are less than the integer n?

(1)14＜n＜20 (2)13＜n＜17 (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.x-y=3

2x=2y+6 The system of equations above has how many solutions? (A) None (B) Exactly one (C) Exactly two (D) Exactly three (E) Infinitely many

27.An infinite sequence of positive integers is called an "alpha sequence" if the number of even integers in the sequence is finite. If S is an infinite sequence of positive integers, is S an alpha sequence?

(1)The first ten integers in S are even. (2)An infinite number of integers in S are Odd. (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．

29. In the addition problem above, each of the symbols □, △, and ★ represents a positive digit. If □＜A, what is the value of △? (1)★=4 (2)□=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．

31. In the expression above, a, b, and c are different numbers and each is one of the numbers 2, 3, or 5. What is the least possible value of the expression?  33.Are all of the numbers in a certain list of 15 numbers equal?

(1)The sum of all of the numbers in the list is 60. (2)The sum of any 3 numbers in the list is 12。 (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．

36.If r⊙s=rs+r+s, then for what value of s is r⊙s equal to r for all values of r?

(A) -1 (B) 0 (C) 1 (D) (E) r

41.If ⊙ denotes a mathematical operation, does x⊙y=y⊙x for all x and y?

(1)For all z and y, x⊙y=2(x2+y2) (2)For all y, 0⊙y=2y2 (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．

42.If y≠3 and is a prime integer greater than 2, which of the following must be true?

Ⅰ．x=y Ⅱ．y=1 Ⅲ．x and y are prime integers. (A) None (B) Ⅰonly (C) Ⅱonly (D) Ⅲ only (E) ⅠandⅢ

43.The only contents of a parcel are 25 photographs and 30 negatives. What is the total weight, in ounces, of the parcel's contents?

(1)The weight of each photograph is 3 times the weight of each negative. (2)The total weight of 1 of the photographs and 2 of the negatives is Ounce. (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．

44. Of the four numbers represented on the number line above is r closest to zero? (1)q=-s (2)-t ＜q (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．

45.If represents one of the operations +,-, and×, is k·(1+m)=(k·1)+(k·m) for all numbers k, 1 and m?

(1)k·1 is not equal to 1·k for some numbers k. (2)·represents subtraction. (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．

47.If x+y+z＞0, is z＞1?

(1)z＞x+y+1 (2)x+y+1＜0 (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．

48.If x=0.rstu, where r, s, t, and u each represent a nonzero digit of x, what is the value of x?

(1)r=3s=2t=6u (2)The product of r and u is equal to the product of s and t. (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．

49. If the successive tick marks shown on the number line above are equally spaced and if x and y are the numbers designating the end points of intervals as shown, what is the value 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)联合起来也不充分．  