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Then are between 40 and 70 members in a certain club. If 1 member is absent then the remaining members can be divided into groups of 4 members each with no members left over. If 2 members are absent, then the remaining members can be divided into groups of 5 members each with no members left over. How many members are in the club?
Last year a youth organization sold candy bars for $1.50 each for a fund-raiser. This year the organization members plan to repeat the fund-raiser, but they project that the number of candy bars sold will be reduced from last year's number by 1/3 of the number sold last year. If this projection is correct, what price per candy bar would result in the same total amount of revenue this year as last year?


The families that owned directly held stocks in 1992 owned an average (arithmetic mean) of $10,000 per family in these stocks. The families that owned cash-value life insurance owned an average of $4,000 per family in this type of insurance. Which of the following is closest to the ratio of total family assets in directly held stocks to total family assets in cash-value life insurance?
At the beginning of the current academic year, a college had 1,000 enrolled students, and the ratio of the number of enrolled students to the number of faculty members was 25 to 2. If the number of enrolled students will increase by 15 percent from the beginning of the current academic year to the beginning of the next academic year, what is the total number of faculty members that will be needed at the beginning of the next academic year for the college to maintain the same student-to-faculty ratio?

__________ faculty members
Last month in Company X, the ratio of the amount of money spent by the production department to the amount spent by the research department was 5 to 2, and the ratio of the amount of money spent by the sales department to the amount spent by the production department was 3 to 5. Last month the sales department spent s dollars.

Quantity A

The amount of money spent by the research department last month in Company X

Quantity B

$$\frac{2s}{3}$$ dollars
When asked what their major staffing issues were, 42 percent of the companies in a survey said "finding competent staff" and 18 percent of the companies in the survey said “training staff." If 15 percent of the companies in the survey said that both of the issues were major staffing issues, what percent of the companies in the survey said that neither of the two issues was a major staffing issue?
List P consists of the integers from 80 to 100, inclusive.

Quantity A

The fraction of integers in list P that are prime

Quantity B

$$\frac{1}{7}$$
Two positive integers are twin primes if each is prime and their difference is 2. Which of the following pairs of integers is NOT a pair of twin primes?
The number 50 can be expressed as the sum of different prime numbers; for example, as a sum of four different prime numbers: 3+7+17+23=50.

Quantity A

The least possible number of different prime numbers whose sum is 50

Quantity B

$$3$$
If $$x$$, $$y$$, and z are integers greater than $$1$$ and $$xyz=231$$, what is the value of $$x+y+z$$?
What is the product of the distinct positive prime factors of 52?
If $$b$$ and $$p$$ are positive integers and $$b$$ is a prime number such that $$(b^4)(2^p)=2,592$$, what is the value of $$b+p$$?
If $$x$$ is the product of all the different prime factors of 60, then $$x=$$?


The table above shows the values of one share of stock for companies $$A B$$, and c at the close of the stock market yesterday, where $$x$$ is in dollars and $$x > 2$$. Which of the following statements individually provide(s) sufficient additional information to determine the value of $$x$$? Indicate all such statements.

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