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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].

## 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?

## 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?

## 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?

## Scientific Notation

What is 2004.28 in scientific notation?

## Average Height

If the heights of three people are 5’8”, 5’2”, and 6’2”, what is their average height?

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A standard deck of 52 cards contains 13 cards each from the four suits: spades, clubs, diamonds and hearts. If two cards are randomly picked without replacement, what is the probability that they are both diamonds?

## Office Space

If 3 out of every 8 people in an office are women, what is the ratio of men to women?

## Wrath of the Math

25x is to 40y as 25y is to what?

## Book Organization

In how many different orders can six books be organized in a shelf?