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题目内容
In a certain city, each of the 30 days last April was classified as either sunny or cloudy. There were 24 sunny days in the city last April, and there were 20 days with a daily maximum temperature of at least 80℉. Which of the following statements individually provide(s) sufficient additional information to determine the number of cloudy days in the city last April with a maximum temperature of less than 80?

Indicate all such statements.
A collection of pottery shards consists of shards from three archaeological sites, R, S, and T. For the shards from R, the least length is 1.3 centimeters and the range of the lengths is 8.7 centimeters. For the shards from S, the least length is 2.4 centimeters and the range of the lengths is 9.6 centimeters. For the shards from T, the least length is 0.6 centimeter and the range of the lengths is 10.2 centimeters. What is the range of the lengths of all the shards in the collection?

_____centimeters
The students in a home economics class are making a set of vertical blinds to cover a window that is 6 feet high by 8 feet wide. Each vertical blind in the set is hung so that it is 6 feet high, 2 inches wide, and overlaps each blind next to it by $$\frac{1}{2}$$ inch. What is the least number of blinds needed to cover the window? (12 inches = 1 foot)
From the time a manufacturer's assembly line begins operating for the day, an inspector checks every $$12^{th}$$ item as it comes off the line, beginning with the $$12^{th}$$ item, and another inspector checks every $$28^{th}$$ item, beginning with the 28th item. If the $$n^{th}$$ item coming off the line is the first item that is checked by both inspectors, what is the value of $$n$$?

$$n$$=__________
Each of three tall buildings has a light that flashes on its roof to warn low-flying aircraft. One light flashes every 3 seconds, another light flashes every 4 seconds, and the third light flashes every 6 seconds. If the three lights flash at precisely the same moment, what is the least number of seconds after which the three lights will flash again at the same moment?
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?

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