Correct Answer: Ore

Solution : Given:

Garbage : House :: Gangue : ?

The relationship appears to be that garbage is typically found or associated with a house .

Now, let's apply the same logic to the second part of the analogy:

Gangue is a term used in mining to refer to the waste material or rock that is often found alongside valuable minerals or ores in a mine. So, the analogy would be:

Gangue : Ore

The relationship here is that gangue is typically found or associated with ore in a mine, just as garbage is associated with a house.

So, the related word for "Gangue" is "Ore."

Hence, option first is correct.