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An engineer draws two concentric circles on a blueprint. If the diameter of the outer circle is 6 centimeter greater than the diameter of the inner circle, how much greater, in centimeters, is the circumference of the outer circle than the circumference of the inner circle?
The top surface of a certain 1-inch-thick oak board is 8 inches wide and has an area of 960 square inches. What is the price of this board? (1 foot=12 inches)
For the programming languages shown, the ratio of the greatest number of job postings in 2018 to the least number of job postings in 2018 was closest to which of the following?
For 2017, let M be the median number of job postings for the programming languages shown and let P be the median number of job postings for the programming languages shown except for PHP. What is the value of P-M?
The average (arithmetic mean) of a, b, c and d is 7, and 2(a+b+c)=b+c+d. What is the average of the seven numbers a, a, a, b, b, c and c?
Q is a set of 36 different numbers with the property that if p is in Q, then -p is also in Q. The number 25 is in Q.

Quantity A

The range of the numbers in Q

Quantity B

40


The standard deviation of the five values 2, 4, 6, 8, 10 is σ. For which of the following lists is the standard deviation of the values in the list equal to σ?

Indicate all such lists.
List T consists of 6 different numbers, and the average (arithmetic mean) of the numbers in T is less than the median of the numbers in T. The average of the 4 least numbers in T is 6, and the average of the 4 greatest numbers in T is 13.

Quantity A

The median of the 6 numbers in T

Quantity B

9.5


Let S be the sequence of consecutive odd integers from 1 to 99. Sequence T is obtained from S by removing the integer 3 and then removing every $$3^{rd}$$ integer after 3. Sequence V is obtained from T by removing the integer 7 and then removing every $$7^{th}$$ integer after 7. Which of the following integers is in V?
-8, -3, 5, 8, 3, 5............

In the sequence, each term after the first two terms is the absolute value of the difference of the two preceding terms.

Quantity A

The first number to occur three times in the sequence

Quantity B

3


Each time a certain coin is tossed, it lands either heads up or tails up. The coin has the property that the probability that it will land heads up when tossed 1 time is 0.6. If the coin is to be tossed 3 times, what is the probability that it will land heads up at least 2 times?
Set A, B, and C are subsets of a universal set U, as represented by the circular regions in the following diagrams. The set $$\overline{B}$$ consists of the elements in U that are not in B, and the set $$\overline{C}$$ consists of the elements in U that are not in C. The set A∩((B∩$$\overline{C}$$)∪(C∩$$\overline{B}$$)) is represented by the shaded regions in which of the following diagrams?



The circle on the left has radius r and center O, and the circle on the right has radius s and center P. The lengths of arcs ABC and DEF are both equal to 3, and r < s < 3.

Quantity A

x

Quantity B

y


A plot of land used to display flowers in a botanical garden was designed in the shape of a trapezoid in which the lengths of the two sides that are not parallel are equal. The length of the longer parallel side is 5 times the length of the shorter parallel side, and the distance between the two parallel sides is 3 times the length of the shorter parallel side. The perimeter of the plot is 135 meters. Approximately what is the length, in meters, of the shorter parallel side?


The figure above represents a pond and the nearby land that surrounds it. Lucia plans to measure the distance across the pond from point A to point B. First, she will measure the distance from a rock on land at point R to point D on line AR. Next, she will measure the distance, along a line parallel to line AB, from point D to point C, which lies on line BR. Of the following, which additional measurement will be sufficient to determine the distance from A to B?


Quantity A

RS

Quantity B

3




The cube shown above has edges of length x, where x is an integer. The length of diagonal AG (not shown) is 10.39, to the nearest 0.01. What is the value of the integer x?

x=_____


PQST is a parallelogram and R is the midpoint of side PT.

Quantity A

The area of triangular region PQR

Quantity B

The area of triangular region RST




On the number line, points R, S, and T have coordinates r, s, and t, respectively, where r=2t. Point R is to the right of point S, and point T is to the left of point R.

Quantity A

t

Quantity B

s




In triangle ABC shown, AB=BC and the measure of angle BAC is 58 degrees.

Quantity A

AC

Quantity B

AB


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