新gre考試數學考試選擇題精選

　　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

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