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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.

Cylindrical Tank

A rectangular tank 82 cm long, 37 cm wide and 75 cm deep has the same volume as a cylindrical tank. If the radius of the cylindrical tank is 30 cm, what is its height (in cm) ? [let π = 3.14]

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Share the Dough

John, Jack and Jason share an amount in the ratio of 4:3:7, respectively. If Jason received $32 more than Jack, what is the total amount they shared?

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Need for Speed

A car starts from a static position and accelerates uniformly until it reaches a certain speed. If five cars reach the following speeds in the given amounts of time, which car will have gone the farthest distance after 1 second?

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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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