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Prep2007E2-DS-46

Three thousand families live in a certain town. How many families who live in the town own neither a car nor a television set?

(1) Of the families who live in the town, 2,980 own a car.
(2) Of the families who live in the town, 2,970 own both a car and a television set.


Prep2007E2-DS-45

If x and z are integers, is at least one of them even?

(1) x + z is odd.
(2) x - z is odd.


Prep2007E2-DS-44

How many people received a certain survey?

(1) Six-tenths of those who received the survey responded.
(2) Of those who received the survey, 42 responded.


Prep2007E2-DS-43

Circle C and line k lie in the xy-plane. If circle C is centered at the origin and has radius 1, does line k intersect circle C ?

(1) The x-intercept of line k is greater than 1.
(2) The slope of line k is ~$-\frac{1}{10}$~ .



Prep2007E2-DS-42

What is the value of 3n - 4 ?

(1) 6n – 10 = 30

(2) ~$\frac{n}{3}=\frac{20}{9}$~



Prep2007E2-DS-41

Last Thursday, John assembled chairs at a rate of 3 chairs per hour for part of the day and Larry assembled no chairs. Last Friday, Larry assembled chairs at a rate of 4 chairs per hour for part of the day and John assembled no chairs. If John and Larry assembled chairs for a total of 7 hours during these two days, how many chairs did John assemble last Thursday?

(1) During these two days, John and Larry assembled a total of 25 chairs.
(2) During these two days, Larry assembled more chairs than John did.


Prep2007E2-DS-40

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?

(1) The median of the numbers in S is less than 5.
(2) The median of the numbers in S is greater than 1.


Prep2007E2-DS-39

If c and d are integers, is c even?

(1) c(d + 1) is even.
(2) (c + 2)(d + 4) is even.



Prep2007E2-DS-38

Some of the students enrolled at College T are part-time students and the rest are full-time students. By what percent did the number of full-time students enrolled at College T increase from the fall of 1999 to the fall of 2000 ?

(1) There were 50 more full-time students enrolled at College T in the fall of 2000 than in the fall of 1999.
(2) The total number of students enrolled at College T increased by 5 percent from the fall of 1999 to the fall of 2000.


Prep2007E2-DS-37

Are the integers z and f to the right of 0 on the number line?

(1) The product of z and f is positive.
(2) The sum of z and f is positive.


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