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When sunlight passes through water droplets in the atmosphere, some of the refracted light is reflected. Because different colors bend by different angles, we see a circular arc of different colors—a rainbow.
At what time of day does a rainbow appear the tallest when viewed from the ground?
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ABCD is a square and AE=BF=CG=DH.
What is the area of the orange quadrilateral DHMG?
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A teacher wrote a number on the board and asked the students to tell about the divisors of the number one by one.
The teacher then said that exactly two consecutive students were incorrect.
Which two students were incorrect?
If the mth and (m+1)th students spoke wrongly, then enter m.
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a!+b!+c!=d!, where a,b,c,d are all positive integers.
What is the number of possible solutions (a,b,c,d)?
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Suppose you inscribe a smaller triangle in the triangle below such that its three vertices are on different sides of the given triangle.
What is the smallest possible perimeter of the inscribed triangle?
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