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For which of the age-groups is the ratio of the number of full professors to the number of associate professors the greatest?
If 10 percent of all the faculty members under 40 at University X are in the fine arts department, approximately what percent of the faculty members in the fine arts department are under 40?
How many faculty members at University X are either associate professors or at least 60 years old or both?
For the employees in the customer service job category in 2000, the average billing rate was $18.50 per hour. Which of the following is the best estimate of the total amount billed by employees in the customer service job category in 2000?
Which of the following is closest to the ratio of the number of hours billed by employees in 1999 to the number of hours billed by employees in 1996?
If the number of hours billed by employees in the customer service job category was the same in 1999 as it was in 2000, which of the following is closest to the percent of the total number of hours billed by employees in 1999 that was billed by employees in the customer service category in 1999?
x=c+4, y=4x+c, while the average of x and y is 17.

Quantity A

x

Quantity B

3


2h+3k=5, 2j-k=2, what is the average of h, k, and j?
The average score of students in class 1, 2 and 3 is 83, 87, and 89, respectively, while the average score of all the students together is 86.

Quantity A:The number of students in class 1

Quantity B:The number of students in class 3
The average age of 40 students is 21.5. After 10 new students join them, the new average is 22.5. What`s the average age of the 10 new students?

Give your answer as a decimal.
The average (arithmetic mean) of 20 numbers is 53. When one of the numbers is discarded, the average (arithmetic mean) of the remaining numbers is 54.

Quantity A

The discarded number

Quantity B

50


List A consists of n integers and list B consists of k integers. The average (arithmetic mean) of the integers in list A is less than the average of the integers in list B. The sum of the integers in list A is 524 and the sum of the integers in list B is 565.

Quantity A

n

Quantity B

k


List K consists of 100 numbers between 20 and 40, and list M consists of 200 numbers between 30 and 50.

Quantity A:The arithmetic mean of the members in list K

Quantity B:The arithmetic mean of the members in list M
R:x,y,z,2.7,3.8,5.5

S:x,y,z,-2.7,-3.8,-5.5

If the average (arithmetic mean) of the 6 numbers in list R is r and the average of the 6 numbers in list S is s, then r-s is the average of which of the following lists?
30% of all alumni donate money to a university, while the average donation is $1,350 per donator.

Quantity A

The average donation for all the alumni

Quantity B

450


List G consists of positive integers, each of which is less than or equal to 300. The average (arithmetic mean) of the integers in G is greater than 25c, where c is a positive number.

Quantity A

c

Quantity B

13


5 collectors have some rare collection,then comes the $$6^{th}$$ collector with 50 pieces of collection,and then the average piece of collection is 5 more than the average before. Then comes the $$7^{th}$$ collector with some collection,and the average is 5 more than the average of the first 6 collectors. How many pieces of collection does the $$7^{th}$$ collector have?
List L consists of n values, and the average (arithmetic mean) of the values in L is 10. List M consists of r values, and the average of the values in M is 15. The average of the values in List L and M combined is 11. If r > 100, which of the following could be the value of n?

Indicate all such values.
Each digit of a 20-digit number is either a 1, 2, 3, 4, or 5. If the average (arithmetic mean) of 15 of the 20 digits of the number is 2.8 and if M is the average of all 20 digits of the number, then M must satisfy which of the following inequalities?

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