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The recreation director at a local youth club surveyed the members to determine interest in two activities-a hiking trip and a softball game. Of the members surveyed, 60 percent were interested in the hiking trip and 75 percent were interested in the softball game. Of those who were interested in the softball game, $$\frac{2}{3}$$ were also interested in the hiking trip. What percent of the members surveyed were not interested in either of the two activities?
In a herd of 90 cows, some are brown, some are white, and the rest are both brown and white. In the herd, 55 cows are entirely or partially white, and 75 cows are entirely or partially brown. If the cows are randomly selected for inoculation, what is the probability that the first cow selected will be entirely white?
There are 50 students in the class. 27 of them join the project A, and 25 of them join project B. If everyone must join at least one project, then what`s the number of students who join both projects?
The table shows the results of a survey of 1,200 investors who were asked to name their sources regarding investment advice. 300 of those surveyed named both stockbrokers and financial planners as sources, how many of those surveyed name neither of these two sources?
In a fitness club of 800 members, 175 attend the club on Fridays, 450 attend the club on Saturdays, while 90 attend the club on both Fridays and Saturdays. Which of the following statements must be true? Indicate all such statements.
A rectangular game board is composed of identical squares arranged in a rectangular array of r rows and r+1 columns. The r rows are numbered from 1 through r, and the r+1 columns are numbered from 1 through r+1. If r>10, which of the following represents the number of squares on the board that are neither in the 4th row nor in the 7th column?
Thirty percent of the members of Group G are also members of Group H. Twenty percent of the members of Group H are also members of Group G. Quantity A The total number of members of Group G Quantity B The total number of members of Group H
At a convention, 30 percent of the attendees are vegetarians, and of those vegetarians, 55 percent are male. Quantity A The percent of the attendees who are not male and not vegetarians Quantity B 25%
In a water tank of 72 fishes, $$\frac{1}{3}$$ are blackfin, $$\frac{2}{3}$$ are whitefin. $$\frac{1}{2}$$ have orange dots, while the rest $$\frac{1}{2}$$ have brown dots. If $$\frac{2}{3}$$ of whitefin have brown dots, then how many fishes in the water tank are orange-dotted blackfins?
In a survey of educators. 40 percent reported that they used the Internet for research. Also in the survey, 65 percent reported that they used the Internet for E-mail. Quantity A The percent of the educators surveyed who reported that they used the Internet for both research and E-mail Quantity B 26%
According to the table, the percent of households in 1980 with neither a microwave oven nor a central air conditioner must be in which of the following inclusive intervals?
In an election, voters can vote for as many candidates as they wish. The percent of votes each candidate wins is listed as follows. Quantity A The percentage of votes candidate A or candidate B or both of them win Quantity B 80%
A restaurant made 200 pizzas, some of which has no toppings, while the others had at least one of three toppings-mushrooms, onions, and peppers-as summarized in the table above. No pizza had all three toppings. How many of the pizzas had no toppings?
Three students need to read 50 proposals. Each proposal has to be read by at least one student. Student A read 38 of them, Student B read 36 of them, while Student C read 28 of them. At least how many proposals are read by at least two students?
n is a positive number Quantity A The sum of all the consecutive integers from n to (n+10), inclusive Quantity B 11n
In a sequence, each term is equal the preceding term plus a constant x, a5 = 11, a8 = 19, what is the value of x? Give your answer as a fraction.
First step is to draw a square whose side is 1cm. Second step is to draw a square whose side is 3cm. Third step is to draw a square whose side is 5cm. If we draw squares so on and so forth following the above rule, at which step will be taken to draw a square whose side is 47 cm?
In a sequence of numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4 ......., n occurs n times for 1 ≤ n ≤ 25. For the first 300 numbers in the sequence, what is the least n that is greater than at least 25% of the first 300 numbers in the sequence?
X is the sum of all integers from 1 to 100, inclusive. Y is the sum of all the odd integers from 1 to 199, inclusive. What is the value of Y – X ?
The sum of the first n positive integers can be found using the formula $$\frac{n(n+1)}{2}$$. The sum of the first n positive odd integers can be found using the formula $$(\frac{s}{2})^2$$, where s is the sum of the first and last odd integer. If $$x$$ is equal to the sum of the integers from 1 to 100, and if $$y$$ is equal to $$\frac{1}{2}$$ of the sum of the odd integers from 1 to 199, what is the value of $$x-y$$?