GRE机经易错题

1.How many such numbers in 1-100 that when divided by 5 the remainder is 3, and divided by 6 the remainder is 2

A：2

B：3

C：4

D：5

E：6

2.n＞2

Quantity A Quantity B

The standard deviation of {2,2,2,n} The standard deviation of {2,n,n,n}

A：Quantity A is greater.

B：Quantity B is greater.

C：The two quantities are equal.

D：The relationship cannot be determined from the information given.

3.What is the 57 digit to the right of the decimal point of

A：2

B：8

C：5

D：7

E：1

4.

CD = 6, point A lies on line CD, point B is not on line CD, where 1 ≤ AB < 2, what’s the range of area of triangle BCD

A：3

B：4

C：5

D：6

E：8

5.Triangle ABC has an acute angle C, AC=3, BC=4,what’s the value range of line AB

A：1

B：2

C：3

D：4

E：5

6.

A man walks from point A to point

B on the rectangular grids shown. He could only choose

to walk north or east at any corner, what’s the probability of choosing a path via point C A：

B：

C：

D：

E：

7.,where a and b are both integers, what is the possible value of a+b

?A：9

?B：12

?C：15

?D：17

?E：29

?F：100

?G：106

?H：109

8.k is an odd integer which is greater than 100, d is a divisor other than k itself Quantity A Quantity B

d

A：Quantity A is greater.

B：Quantity B is greater.

C：The two quantities are equal.

D：The relationship cannot be determined from the information given.

9.There are 30 pencils in 5 different colors, 6 pencils in each color, how many pencils we need to pick to guarantee that every color has at least 2 pencils

A：24

B：25

C：26

D：27

E：28

10.A 10-day long course, in the analysis of attendance for three students：A attended for 8 days, B attended for 7 days, C attended for 6 days, among which only 1 day all of them attended. How many days at least two students attended

B：7

C：8

D：9

E：10

11.S={1,2,3,4,6}, T={1,2,3,6,8}, pick one number from each set separately, how many different possible product of the two selected numbers

A：10

B：11

C：12

D：13

E：14

12.Randomly select a number from 1-1000, what is the probability that none of the digit would be 6 in this number

A：

B：

C：

D：

E：

13.Line l intersected with two parallel lines m and n.

Quantity A Quantity B

Number of points which is at equal

3

distance to three lines

A：Quantity A is greater.

B：Quantity B is greater.

C：The two quantities are equal.

D：The relationship cannot be determined from the information given.

14.m,n are both integers, m is a factor of, how many pairs of (m, n) that

B：One

C：Three

D：Four

E：Six

15.S = {3 5 7 8 8 9 10 11 12}, T = {3 5 7 9 10 11 12}

Quantity A Quantity B

The standard deviation of Set S The standard deviation of Set T

A：Quantity A is greater.

B：Quantity B is greater.

C：The two quantities are equal.

D：The relationship cannot be determined from the information given.

16.A four-digit number 7a6b, a, b are both integers, what’s the probability that this number would be divided by 4 ________

17.The probability of A is 60% and the probability of B is 50%, what is the most possible probability that neither A nor B would happen

A：0.80

B：0.40

C：0.75

D：0.55

E：0.68

18.If Bob can do a job in 20 days and Jane can do the job in 30 days, they work together to do this job and in this period, Bob stop work for 2.5 days and Jane stop work for x days, and the job be finished for 14 days, what is x

A：1.6

B：3.2

C：1.5

E：1.15

19.In an insurance company, each policy has a paper record and an electric record. For those policies having incorrect paper record, 60% also having incorrect electric record; For policies having incorrect electric record, 75% also having incorrect paper record.3% of all policies have both incorrect paper and incorrect electric records. If we randomly pick out one policy, what’s the probability that the one having both correct paper and correct electric records

A：0.80

B：0.94

C：0.75

D：0.88

E：0.92

20.Two librarians, Robert and Patricia, cataloged a combined total of 180 new books, each of which was cataloged by only one of the two librarians. Although they spent the same amount of time cataloging their books, Robert spent an average of 15 minutes per book whereas Patricia spent an average of 12 minutes per book.

Quantity A Quantity B

The number of books cataloged by Robert 60

A：Quantity A is greater.

B：Quantity B is greater.

C：The two quantities are equal.

D：The relationship cannot be determined from the information given.

21.The unit price of commodity X is $21.94, for every order on commodity X, a tax of $20 would be imposed on the buyer. Some buyer has made n orders on commodity X, with the standard deviation of 5 on number of commodities in every order. What’s the standard deviation of the total price he/she paid for every order

A：5

B：21.94

C：43.88

E：25

22.

There is a 3*3 table, we need to fill it with three different numbers, A, B and C. There should not be two identical numbers in either each row or each column. How many different methods are available

A：6

B：8

C：10

D：12

E：16

23. Hal has 4 girl friends and 5 boy friends. In how many different ways can Hal invite 2 girls and 2 boys to his birthday party

A.54

B.60

C.72

D.120

E.240

24. An office has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee

A.10

B.12

C.15

D.24

E.30

25. Joan has 100 candies to distribute among 10 children. If each child receives at least 1 candy and no two children receive the same number of candies, what is the maximum number of candies that a child can receive

A.10

B.34

C.39

D.45

E.55

26. From a group of 8 people, it is possible to create exactly 56 different k-person committees. Which of the following could be the value of k Indicate all such values.

A. 1

B. 2

C. 3

D. 4

E. 5

F. 6

G.7

27. How many 4-digit numbers begin with an even digit and end with an odd digit ？

A 250

B 500

C 2,000

D 2,500

E 5,000

28. How many positive integers can be expressed as a product of two or more of the prime numbers 5,7,11，and 13 if no one product is to include the same prime factor more than once ？

A Eight

B nine

C Ten

D Eleven

E Twelve

29. N equals the number of positive 3-digit numbers that contain odd digits only.

Quantity A

N

Quantity B

125

A. Quantity A is greater.

B. Quantity B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given. Quantity A

Number of different triangles possible using the given points as vertices.

Quantity B

42

A. Quantity A is greater.

B .Quantity B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

31. What percent of the integers between 100 and 999，inclusive，have all three digits the same ？

A 1%

B 2%

C 3%

D 4%

E 5%

32. Of the 20 lightbulbs in a box, 2 are defective. An inspector will select 2 lightbulbs simultaneously and at random from the box. What is the probability that neither of the lightbulbs selected will be defective

Give your answer as a fraction.

33. For a certain probability experiment, the probability that event A will occur is 1/2 and the probability that event B will occur is 1/3. Which of the following values could be the probability that the event A∪B (that is, the event A or B, or both) will occur

Indicate all such values.

A. 1/3

B. 1/2

C. 3/4

34. A and B are independent events, and the probability that both events occur is 1/2. Which of the following could be the probability that event A occurs

Indicate all such probabilities.

A. 0

B. 1/4

C. 1/2

D. 3/4

E. 1

35. In a certain state, each license plate consists of either three digits (between 0 and 9, inclusive) followed by two letters or three letters followed by two digits. For example, 055-XY, 123-PP, and AAA-70 are all acceptable plates. How many different license plates can the state issue

36. A positive integer is a palindrome if it reads exactly the same from right to left as it does from left to right. For example, 5 and 66 and 373 are all palindromes. How many palindromes are there between 1 and 1,000, inclusive

37. A box contains 10 balls numbered from 1 to 10 inclusive. If Ann removes a ball at random and replaces it, and then Jane removes a ball at random, what is the probability that both women removed the same ball

A. 1/100

B. 1/90

C. 1/45

D. 1/10

E. 41/45

38. A: {71,73,79,83,87} B: {57,59,61,67}

If one number is selected at random from set A, and one number is selected at random from set B, what is the probability that both numbers are prime

A. 9/20

B. 3/5

C. 3/4

D. 4/5

E. 1

39. A box at a yard sale contains 3 different china dinner sets, each consisting of 5 plates.

A customer will randomly select 2 plates to check for defects. What is the probability that the 2 plates selected will be from the same dinner set

A. 2/7

B. 2/5

C. 2/3

D. 5/6

E. 3/2

40. If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7

142/999

142/900

142/899

128/900

128/899

41. The greatest of the 21 positive integers in a certain list is 16. The median of the 21 integers is 10. What is the least possible average (arithmetic mean) of the 21 integers

A. 4

B. 5

C. 6

D.7

E.8

42. For a certain distribution, the measurement 12.1 is 1.5 standard deviations below the mean, and the measurement 17.5 is 3.0 standard deviations above the mean. What is the mean of the distribution

A. 13.8

B. 13.9

C.14.0

D. 14.1

E. 14.2