To arrange the planets by the length of their year in increasing order, we need to know the orbital periods (the time it takes for each planet to complete one orbit around the Sun):
- Mercury: ~0.24 Earth years
- Venus: ~0.615 Earth years
- Earth: ~1 Earth year
- Mars: ~1.88 Earth years
- Jupiter: ~11.86 Earth years
- Saturn: ~29.46 Earth years
- Uranus: ~84.01 Earth years
- Neptune: ~164.8 Earth years
Now, let's compare the values:
- Mercury (0.24 years)
- Venus (0.615 years)
- Earth (1 year)
- Mars (1.88 years)
- Saturn (29.46 years)
- Neptune (164.8 years)
Now we can arrange the planets from shortest to longest year:
- Mercury < Venus < Earth < Mars < Saturn < Neptune
Looking at your options, the third option: Mercury < Mars < Earth < Neptune is the only option close to being correct.
However, the best increasing order values are not fully reflected in the provided options. But strictly comparing the options with the knowledge of their year lengths, none of the provided sequences fully represent all planetary years correctly except for the first part of "Mercury < Mars < Earth < Neptune."
The correct complete increasing order should be: Mercury < Venus < Earth < Mars < Saturn < Neptune (not fully represented in the given options).
If we strictly follow the options listed, the third option is the closest but still inaccurate as it does not include Venus, which comes before Earth.
Thus, none of the options are fully correct as they don’t represent the true ranking of years accurately.