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新gre考试数学考试选择题精选
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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