some math questions from GMAT summer test, mock

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Q1, if N is a possitive integer and R is the remainder when (N-1)(N+1) is divided by 24, what is the value of R?

1)     N is not divided by 2

2)     N is not divided by 3

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Q2, if Z的n次方=1, what is the value of Z?

1)N is a nonzero integer

2) Z>0

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Q3, if x>Y^2>Z^4, which of the following statements could be true?

1, x>Y>Z

2, Z>Y>X

3, X>Z>Y

Key: 1,2,3

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Q4, each employee on a certain task force is either a manager or a director, what percent of the employees on the task force are directors?

1)     the average (arithmetic mean ) of salary of the managers on the task force is $5,000 less than the average salary of all employees on the task force.

2)     The average (arithmetic mean0 salary of the directors on the task force is $15,000 greater than the average salary of all employees on the task force.

Key: C

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Q5, a certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have a population that is more than  10 percent greater than the population of any other district, what is the minimum possible population that the least populated district could have?

Key :11,000

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Q6, a set of 15 different integers has a median of 25 and a range of 25, what is the greatest possible integer that could be in this set?

Key: 43

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Q7, if the terms of a sequence are t1,t2,t3,……tn, what is the value of n?

1)     the sum of the n term is 3,124

2)     the average (arithmeticmean) of the n terms is 4

key: C

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ding

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thanks