A mirage is a frequent optical occurrence for desert travelers, which appears as a distant body of water. Which of the following best explains this phenomenon?

**Note:** The mirage featured in this picture is known as an inferior mirage.

Alice arranges 3 coins in a row. You cannot see them, and need to guess the sequence—heads or tails—of the 3 coins. You make three guesses, and Alice responds as follows:

Guess | \(\hspace{1.4cm}\) Response |

H H H | "You got only 1 coin correct." |

T T H | "You got only 1 coin correct." |

H T T | "You got only 1 coin correct." |

What is the correct sequence?

I'm thinking of a number.

- It is a two-digit positive integer.
- The sum of its digits is 10.
- Subtracting 72 from the number swaps its two digits.

What is the number?

10 identical circles are stacked in a pyramid shape, where \(A\) and \(B\) are centers of two of the circles. A line is drawn through \(A\) and \(B,\) dividing the figure into 2 areas: red on the left and and blue on the right.

What is the ratio of the red area to the blue area?

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