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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?
If the numbers of job postings for each language and year except Java in 2018 were as shown, and if the range of the numbers of job postings for 2018 had been equal to that for 2017 instead of what it actually was, what would have been the number of job postings for Java in 2018?

_____thousand

Quantity A

The median number of days per month for a year in which February has 28 days

Quantity B

The median number of days per month for a year in which February has 29 days


Set M is composed of all 3-digit positive multiples of 7. What is the range of the numbers in set M?
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.
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




The table above consists of 10 rows and 10 columns. Each entry in the table is either a zero or a one. A zero is to be selected at random from the table. What is the probability that the zero selected will be in a row with an odd number of zeros and in a column with an odd number of zeros?

Give your answer as a fraction.
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?


The daily high temperature, in degrees Fahrenheit, in a certain city were recorded for 11 consecutive days. The table above shows the frequency distribution of the recorded temperatures. Which of the following statements are true?

Indicate all such statements.


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?


What's the height of the unknown altitude?

Give your answer as a fraction.


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




Of the 72 fish in a certain aquarium, $$\frac{1}{3}$$ are brown and the remaining $$\frac{2}{3}$$ are white. Among the 72 fish, $$\frac{1}{2}$$ have orange fins and $$\frac{1}{2}$$ have black fins. If $$\frac{2}{3}$$ of the white fish have orange fins, how many of the brown fish have black fins?
What percent of all the presidents and vice presidents are less than 50 years old?
For how many of the organizations does the age of the president exceed the age of the corresponding vice president by 15 years?


The two-sided stem-and-Ieaf plot shows the heights, in centimeters, of 20 players on Team A and 20 players on Team B. Each height is represented by a stem in the center and a leaf in the same row, according to the key. What is the median of the heights, in centimeters, of the 40 players combined?

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