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GRE考试数学算术题经典例题2

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1. The sum of n different positive integers is less than 100. What is the greatest possible value of n?

A.10

B.11

C.12

D.13

E.14

答案:D

2.If p is a prime number greater than 11, and p is the sum of the two prime numbers x and y, then x could be which of the following?

A.2

B.5

C.7

D.9

E.13

答案:A

3.Of the positive integers that are multiples of 30 and are less than or equal to 360, what fraction are multiples of 12?

A.1/6

B.1/5

C.1/3

D.2/5

E.1/2

答案:E

4.If x, y and z are consecutive integers and x

(1). xyz is even.

(2). x+y+z is even.

(3).(x+y)(y+z) is odd.

A. None

B.(1) only

C.(2) only

D.(1)and(3)only

E. (1),(2)and(3)

答案:D

5.The product of two consecutive positive integers cannot be

A. a prime number

B. divisible by 11

C. a multiple of 13

D. an even number less than 10

E. a number having 4 as its units digit.

答案:E

6.When a certain number is divided by 7, the remainder is 0. If the remainder is not 0 when the number is divided by 14, then the remainder must be

A.1

B.2

C.4

D.6

E.7

答案:E

7.How many of the positive integers less than 25 are 2 less than an integer multiple of 4?

A.2

B.3

C.4

D.5

E.6

答案:E

8. If y is the average (arithmetic mean) of n consecutive positive integers, n>1,what is the sum of the greatest and least of these integers?

A. 2y

B. ny

C. y/2

D. y/n

E.2n/y

答案:A

9.A positive integer with exactly two different divisors greater than 1 must be

A. a prime

B. an even integer

C. a multiple of 3

D. the square of a prime

E. the square of an odd integer

答案:D

10.What is the least prime number greater than 83?

A.85

B.87

C.88

D.89

E.91

答案:D

11.Of the following which is greatest?

A.1/2

B.7/15

C.49/100

D.126/250

E.1999/4000

答案:D

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GRE考试数学算术题经典例题1

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