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Charlotte selected a subset out of the integers from 1 through 20 inclusive. None of the numbers in the subset is double another number in the subset.

What is the ...

\[ \begin{array} { l l l l } & & B & A \\ & \times & B & B \\ \hline A & B & B &A \\ \end{array}\]

What is the value ...

There are some integer numbers of apples and oranges whose ratio is \( 4:5. \)

Peggy eats \(5\) of them--an integer number of each fruit--making the new ratio \( 2:3. \)

How ...

If something has a 1 in \(n\) chance of success, then after \(n\) tries, we expect to have succeeded once.

Approximately, as \(n\) tends to infinity, what is the limit ...

A white square is inscribed in a blue circle, which is inscribed in a larger orange square.

Which area is larger, orange or blue?

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