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Grading Policies

In a certain course, the Professor has two different grading policies, from which he picks the best. The first policy is to put 40% and 60% weights, respectively, on the midterm and final exams. Under the second grading policy, these weights are 50% each. A student has scored 85% on the midterm, and needs to score at least x% on the final to make a B (a total of 82%). What is the value of x?

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Smallest Variance

Which of the following data sets contains the smallest variance?

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Filling Cylinders

How many cubic centimeters of water will approximately be required to fill a cylinder with a 3 cm radius and 7 cm height?

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Predict Number of Lions

A researcher is attempting to predict the number of lions in an African habitat based on previous data. He has formed a regression equation which is: Y = 25 + 0.5X – 2ZX, where X is the number of years since the first population sample, and Z is the death rate of the lions. If it has been 10 years, and the death rate is 1 lion per year, what is the predicted number of lions in the habitat?

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The Matrix

It takes 6 minutes and 12 minutes, respectively, to run two computer programs when they are run one at a time. However, their speeds are reduced by 50% and 40%, respectively, if running in parallel. If a PC starts running the two programs together, how long will it take for them to finish?

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Car Journey

Mark’s car began a journey from a point at 7 AM, traveling at 30 mph. At 8 AM Jason’s car started traveling from the same point at 40 mph in the same direction as Mark. At what time will Jason pass Mark?

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Mind Games

X is a multiple of A. A is always even, and is always divisible by B. X is also never divisible by C. Which of the following statements must be true?

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Bobbing For Apples

There are 5 white, 7 red and 8 black balls in a box. If you are blindly picking up balls from the box, what is the minimum number of balls you need to take out of the box to ensure that you have at least 2 balls of the same color?

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Always be Investing

Albert and Samuel are given $10,000 each by their grandparents. Albert puts his money into the stock market immediately, earning 5% interest each year. Samuel holds onto his money for 2 years, before also investing in the stock market at the same interest rate as Albert. After 4 years, how much more money does Albert have?

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Marvelous Markdown

A seller gives a 10% discount to a customer who pays cash. What is the marked price of an item for which the customer pays $225?

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Photo attributed to melburnian.