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A student made a conjecture that for any integer n, the integer 4n + 3 is a prime number. Which of the following values of n could be used to disprove the student's conjecture? Indicate all such values.
Eight points are equally spaced on a circle. If 4 of the 8 points are to be chosen at random, what is the probability that a quadrilateral having the 4 points chosen as vertices will be a square?
Emma spent $75 buying a used bicycle and $27 repairing it. Then she sold the bicycle for 40 percent more than the total amount she spent buying and repairing it.

Quantity A

The price at which Emma sold the bicycle

Quantity B

$140


In the figure above, squares PQRV and VRST have sides of length 6.

Quantity A

The area of the shaded region(PST)

Quantity B

36


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In 2009 the property tax on each home in Town X was p percent of the assessed value of the home, where p is a constant. The property tax in 2009 on a home in Town X that had an assessed value of $125,000 was $2,500.

Quantity A

The property tax in 2009 on a home in Town X that had an assessed value of $160,000

Quantity B

$3,000


x + y = -1

Quantity A

x

Quantity B

y


r, s, and t are three consecutive odd integers such that r < s < t.

Quantity A

r + s + 1

Quantity B

s + t - 1


Quantity A

The slope of line k

Quantity B

The slope of line l


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In the figure above, what is the value of $$(x+y+z)\over45$$ GRE、gre题库、gre模考、gre考满分
A certain store sells two types of pens: one type for $2 per pen and the other type for $3 per pen. If a customer can spend up to $25 to buy pens at the store and there is no sales tax, what is the greatest number of pens the customer can buy?
If y = 3x and z = 2y, what is x + y + z in terms of x ?
A certain shipping service charges an insurance fee of $0.75 when shipping any package with contents worth $25.00 or less and an insurance fee of $1.00 when shipping any package with contents worth over $25.00. If Dan uses the shipping company to ship three packages with contents worth $18.25, $25.00, and $127.50, respectively, what is the total insurance fee that the company charges Dan to ship the three packages?


In the rectangular solid above, TU = 3, UV = 4, and VR = 2. What is the area of the shaded rectangular region?

_____
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A list of numbers has a mean of 8 and a standard deviation of 2.5. If x is a number in the list that is 2 standard deviations above the mean, what is the value of x ?

x = _____
The circle graph above shows the distribution of 200,000 physicians by specialty. Which of the following sectors of the circle graph represent more than 40,000 physicians?

Indicate all such sectors.
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Machine R, working alone at a constant rate, produces x units of a product in 30 minutes, and machine S, working alone at a constant rate, produces x units of the product in 48 minutes, where x is a positive integer.

Quantity A

The number of units of the product that machine R, working alone at its constant rate, produces in 3 hours

Quantity B

The number of units of the product that machine S, working alone at its constant rate, produces in 4 hours


List X and list Y each contain 60 numbers. Frequency distributions for each list are given above. The average (arithmetic mean) of the numbers in list X is 2.7, and the average of the numbers in list Y is 7.1. List Z contains 120 numbers: the 60 numbers in list X and the 60 numbers in list Y.

Quantity A

The average of the 120 numbers in list Z

Quantity B

The median of the 120 numbers in list Z


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In the figure above, the diameter of the circle is 10.

Quantity A

The area of quadrilateral ABCD

Quantity B

40


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