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OG2021-PS-141

Tanks A and B are each in the shape of a right circular cylinder. The interior of Tank A has a height of 10 meters and a circumference of 8 meters, and the interior of Tank B has a height of 8 meters and a circumference of 10 meters. The capacity of Tank A is what percent of the capacity of Tank B?


OG2021-PS-137

1634097407_616658ffb0a06.jpg

In a poll, 200 subscribers to Financial Magazine X indicated which of five specific companies they

own stock in. The results are shown in the table above. If 15 of the 200 own stock in both IBM and AT&T, how many of those polled own stock in neither company?


OG2021-PS-134

In a certain high school, 80 percent of the seniors are taking calculus, and 60 percent of the seniors who are taking calculus are also taking physics. If 10 percent of the seniors are taking neither calculus nor physics, what percent of the seniors are taking physics?


OG2021-PS-130

If 65 percent of a certain firm's employees are full-time and if there are 5,100 more full-time employees than part-time employees, how many employees does the firm have?


OG2021-PS-124

A certain state's milk production was 980 million pounds in 2007 and 2.7 billion pounds in 2014. Approximately how many more million gallons of milk did the state produce in 2014 than in 2007 ? (1 billion = ~$10^9$~ and 1 gallon = 8.6 pounds.)


OG2021-PS-123

Sam has $800 in his account. He will deposit $1 in his account one week from now, $2 two weeks from now, and each week thereafter he will deposit an amount that is $1 greater than the amount that he deposited one week before. If there are no other transactions, how much money will Sam have in his account 50 weeks from now?


OG2021-PS-121

Last year a state senate consisting of only Republican and Democrat members had 20 more Republican members than Democrat members. This year the senate has the same number of members as last year, but it has 2 fewer Republican members than last year. If this year the number of Republican members is 2/3 the number of senate members, how many members does the senate have this year?


OG2021-PS-117

The profit P, in dollars, for any given month at a certain company is defined by P = I - C, where I represents total income, in dollars, and C represents total costs, in dollars, for the month. For each of the first 4 months of the year, C = I + 32,000; and for each of the next 3 months, I = C + 36,000. If I = C + 10,000 for each of the 5 remaining months of the year, what was the company's total profit for the 12-month year?


OG2021-PS-115

In the xy plane, the distance between the origin and the point (4,5) is the same as the distance between which of the following two points?


OG2021-PS-110

For all real numbers a, b, c, d, e, and f, the operation ㊀ is defined by the equation (a, b, c) ㊀ (d, e, f) = ad + be + cf. What is the value of (1, -2, 3 ) ㊀  (1, -~$1 \over 2$~, ~$1 \over 3$~)?


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