Physics
An egg sinks in soft water but floats in a concentrated solution of salt because

Albumin dissolves in salt solution and egg becomes lighter
The density of salt solution exceeds the density of eggs
Water has high surface tension
Egg absorbs salt from the solution and expands

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Physics
In the gamma decay of a nucleus

The mass number of the nucleus changes whereas its atomic number does not change
Both the mass number and the atomic number of the nucleus change
Neither the mass number nor the atomic number of the nucleus changes
The mass number of the nucleus does not change whereas its atomic number changes

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