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Consider the volume of a black hole to be the volume of a sphere with radius equal to the Schwarzschild radius \(R_{S} = \frac{2 G M}{c^{2}}\).

How ...

If the mean, median and mode for five positive integers were all equal to 5, what is the largest integer could be found?

\[ \LARGE 3^{2^{85}} = \, ?\]

Note: Exponent towers are evaluated as \( \large a ^ {b^c} = a^{ \left( b^ c \right) } \).

Six identical balls are lined in a straight groove made on a horizontal frictionless surface as shown below. Two similar balls each moving with velocity \(v\) collide with the row ...

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