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Bocce Ball

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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Length of the Hypotenuse

If the area and perimeter of a right triangle are 30 cm2 and 30 cm, respectively, what is the length of the hypotenuse (the side opposite the right angle)?

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Perimeter of a Square

What is the maximum perimeter of a square that can fit inside a circle of radius 5 cm?

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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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Olympic Speed

An Olympic gold medalist runs 100 meters in 9.7 seconds. What is his average speed in miles per hour?

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On The Podium

In how many different ways can the first, second and third prize winners be selected from a group of 8 people running a race? [assume that there are no ties].

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Two Trains

Two trains are approaching each other from opposite directions with the speeds 10 miles per hour and 20 miles per hour, and heading for a collision. If they are a quarter mile apart, how long will it take for them to collide?

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Pick Teams

From a group of 5 men and 7 women, in how many different ways can a team of 2 men and 3 women be formed?

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What’s My Age Again

A father’s age is twice the sum of the ages of his four sons. In 30 years, the total of the sons’ ages will be twice the age of their father. How old is the father now?

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