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Among 66 people, 40 people like dancing,and 25 people like swimming. if all but 6 people like dancing or swimming or both, the how many people like dancing but not swimming?
Printer A, B, and C together need 9 hours to finish a task, while B and C together need 12 hours to finish the same task. How many hours will it take for printer A to finish the task alone?
The average of 5 different positive integers is 8, what might be the greatest possible value among the 5 integers?
At a certain company, employees who earn $20.00 per hour will be given an increase of $1.00 per hour. For each of the other employees, either the employee will be given an increase of $1.00 per hour or the employee will be given a percent increase equal to the percent increase that will be given to the employees who earn $20.00 per hour, whichever results in a larger increase for that employee. Which of the following statements are true?

Indicate all such statements.
By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?


Note: Each shaded cell is the intersection of a benefit column and an incentive row and contains the number of companies (out of the 600 surveyed) that offer both that benefit and that incentive. For example, 195 of the companies surveyed offer both a disabilityinsurance benefit and a profit-sharing incentive.
For how many of the four incentives listed does each of the companies surveyed that offers this incentive also offer a health-insurance benefit?
A certain benefits and incentives package consists of 2 benefits to be chosen from the benefits offered by more than $$\frac{1}{2}$$of all the companies surveyed and 1 incentive to be chosen from the incentives offered by more than $$\frac{1}{3}$$ of all the companies surveyed. How many suck packages are possible?
The ratio of the number of companies offering both a stock-options incentive and one of the benefits listed to the number of companies offering that benefit is greatest for which of the five benefits?
Which of the following statements about triangle PQR shown in the xy-plane are true?

Indicate all such statements.

Ben has 30 pencils in a box. Each of the pencils is one of 5 different colors, and there are 6 pencils of each color. If Ben selects pencils one at a time from the box without being able to see the pencils, what is the minimum number of pencils that he must select in order to ensure that he selects at least 2 pencils of each color?
A password is formed by 5 special characters, including a "@", two "$" and two "#". How many different passwords can be formed?
Although Emily Bronte is impassioned about gender equality, she is anything but ___ to endorse more privileges endowed to women.
Many creative photographers were delighted to find in instant photography a mode that encouraged them to stop viewing photography as _____ and start viewing it as something they could handle with spontaneity, even derision.
As cheaper imports drove most California potteries out of business during the 1950s, one company (i)_____. The substantial size and weight of the specialized products produced by Architectural Pottery helped (ii)_____ the company, because it was uneconomical for foreign companies to ship similarly large objects to California.
Each new generation of students grow up (i)_____ the world of classical physics, with its mostly intuitive, billiard-ball causality; that is the everyday vantage from which we approach the alien world of quantum physics, which has for this reason never lost its air of (ii)_____.
During the Harlem Renaissance, Alain Locke (i)_____ the first flourishing of a self-consciously racial art movement in America and was widely credited with providing the philosophical basis for its emergence. His importance as a critic of African America art and as an art theorist is (ii)_____ if controversial, yet he has received (iii)_____ attention for his unique insight into the broad forces that shaped American modernism and cultural nationalism in the visual arts.
Vaccine denial has all the hallmarks of a belief system that is not (i)_____. The notion that childhood vaccines are driving autism rates has been (ii)_____ by multiple epidemiological studies. Yet the true believers are (iii)_____, critiquing each new study that challenges their views, and rallying to the defense of disgraced researchers whose work was retracted.

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