1．In a demographic study, the population and total income of a certain region were estimated from other data, and both estimates had lower and upper limits. At the time of the estimates, was the per capita income for the region greater than $16,500?
(1) The lower limit for the estimate of the population was 330,000 people.
(2) The lower limit for the estimate of the total income was $5,500,000,000.
2．Seven different numbers are selected from the integers 1 to 100, and each number is divided by 7. What is the sum of the remainders?
(1) The range of the seven remainders is 6.
(2) The seven numbers selected are consecutive integers.
3．In 1995 a certain store had 1,800 tools in stock that had been purchased for $30 each. If 1,000 of these tools were sold in 1995 for $40 each and the remaining 800 were sold in 1996 for $50 each, how many greater was the gross profit on the tools sold in 1996 than the gross profit on those sold in 1995?
A. $0
B. $6,000
C. $8,000
D. $32,000
E. $40,000
4．The sides of a square region, measured to the nearest centimeters, are 6 centimeters long. The least possible value of the actual area of the square region is
A. 36.00 sq cm
B. 35.00 sq cm
C. 33.75 sq cm
D. 30.25 sq cm
E. 25.00 sq cm
5．
One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x < 0.8?
(1) y > 0.15
(2) C ≥ 7.30
8．If two copying machines work simultaneously at their respective constant rates, how many copies do they produce in 5 minutes?
(1) One of the machines produces copies at the constant rate of 250 copies per minute.
(2) One of the machines produces copies at twice the constant rate of the other machine.
9．If m and v are integers, what is the value of m + v?
(1) mv = 6
(2) (m + v)2 = 25
10．Which of the following fractions has a decimal equivalent that is a terminating decimal?
A.
B.
C.
D.
E.
11．K is a set of integers such that if the integer r is in K, then r + 1 is also in K. Is 100 in
K?
(1) 50 is in K.
(2) 150 is in K.
12．Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?
A. 100p / (125 – p)
B. 150p / (250 – p)
C. 300p / (375 – p)
D. 400p / (500 – p)
E. 500p / (625 – p)
13．How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 22 yards? (1 mile = 1,160 yards)
A. 8
B. 9
C. 10
D. 11
E. 12
If n is a positive integer and r is the remainder when (n-1)(n+1) is divided by 24, what is the value of r?
(1) 2 is not a factor of n.
(2) 3 is not a factor of n.
14．For a nonnegative integer n, if the remainder is 1 when 2n is divided by 3, then which of the following must be true?
I. n is greater than zero.
II. 3n = (-3)n
III. √2n is an integer.
A. I only
B. II only
C. I and II
D. I and III
E. II and III
15.
Stations X and Y are connected by two separate, straight, parallel rail lines that are 250 miles long. Train P and train Q simultaneously left Station X and Station Y, respectively, and each train traveled to the other’s point of departure. The two trains passed each other after traveling for 2 hours. When the two trains passed, which train was nearer to its destination?
(1) At the time when the two trains passed, train P had averaged a speed of 70 miles per hour.
(2) Train Q averaged a speed of 55 miles per hour for the entire trip.
16.In the decimal representation of x, where 0 < x < 1, is the tenths digit if x nonzero?
(1) 16x is an integer.
(2) 8x is an integer.
17.Is the measure of one of the interior angles of quadrilateral ABCD equal to 60 degrees?
(1) Two of the interior angles of ABCD are right angles.
(2) The degree measure of angle ABC is twice the degree measure of angle BCD.
17.A hiker walking at a constant rate of 4 miles per hour is passed by cyclist traveling in the same direction along the same path at a constant rate of 20 miles perhour. The cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate. How many minutes must the cyclist wait until the hiker catches up?
6*2/3 15 20 25 26*2/3
18.What’s the hundredths digit of the decimal z?
(1).The tenth digit of 100z is 2
(2)The units digit of 1000z is 2
19. 70,75,80,85,90,105,105,130,130,130
The list shown consists of the times, in second , that it took each of 10 schoolchildren to run a distance of 400 meters. If the standard deviation of the 10 running times is 22.4 second, round to the nearest tenth of a second. How many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.
One two three four five
20.In a certain year, the difference between Mary’s and Jim’s annual salaries was twice the difference Mary’s and Kate’s annual salaries. If Mary’s annual salary was the highest of all, what was average annual salary of 3 people that year?
(1)Jim’s was 30,000 that year
(2)Kate’s war 40,000 that year
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发表于 2006-12-2 12:51:00
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