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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
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?
The average (arithmetic mean) of n numbers is 26. One number is discarded, and the average of the remaining numbers is 25.5.

Quantity A

The discarded number

Quantity B

26


The median of the five measurements in set X is 65 and the median of the five measurements in set Y is 75. All ten measurements in sets X and Y are between 60 and 80.

Quantity A

The median of the ten measurements in sets X and Y combined

Quantity B

70


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


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


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.
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


The different committees consist of 8, 10 and 13 people, respectively. If N is the total number of different people in the 3 committees combined, what is the least possible value of N?
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


Eight students of different heights need to be arranged into two rows of seats. Each row has four seats. For each column, the student in the row ahead needs to be shorter than the student in the row behind. In how many ways can these students be arranged?
An urn contains 4 red balls, 8 green balls and 2 yellow balls. Five balls are randomly selected WITH replacement from the urn. What is the probability that 1 red ball, 2 green balls, and 2 yellow balls will be selected?

Give your answer as a fraction.
An eight-digit integer is formed by three "1" and five "2". How many different such integers can be formed?


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?

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