A person is driving past a clock tower. The clock seen in the car's side-view mirror is this:

What is the actual time?

We use a **light microscope** to see tiny objects invisible to the naked eye. A light microscope works by magnifying light waves with high-powered lenses. Some of the more powerful light microscopes can magnify an object thousands of times. The *E. coli* cells shown in the clip above are each so small that thousands of them could fit across the diameter of a needle.

Is it true that if we keep on zooming in on a specimen using more and more powerful lenses, then we can even see the atoms of the specimen?

How many of the following numbers are divisible by 3?

\[\begin{array}{l} 1 \\ 12 \\ 123 \\ 1234 \\ 12345 \\ 123456 \\ 1234567 \\ 12345678 \\ 123456789 \\ \end{array}\]

How many triangles of any size are there in the figure above?

\[\dfrac{n+1}{1},\ \dfrac{n+2}{2},\ \dfrac{n+3}{3},\ \dfrac{n+4}{4},\ \dfrac{n+5}{5}\]

With \(n=0\), all of the above numbers are integers (they all equal 1). What is the next positive integer \(n\) such that all of the above numbers are integers?

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