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State Street SPDR Portfolio S&P 500 ETF (SPLG)

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Try largest possible area dividing 144: $144$ (1 rectangle), but $144 \geq 18$, so possible only if one rectangle covers the whole hall. But is a single $12 \times 12$ rectangle allowed? Yes — it has area 144 ≥ 18, and dimensions are integers. So it can be tiled with one rectangle.
Thus, the minimum number is $1$, since the full hall can be covered by a single valid rectangle.
Question: A palynologist finds that $ \frac{2}{5} $ of the pollen grains in a sample are from coniferous trees, $ \frac{1}{3} $ from deciduous trees, and the rest from grasses. What fraction of the sample consists of grass pollen?

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