The soil made by the decomposition of archean granite, gneiss and quartz rocks is

Red soil
Black soil
Alluvial soil
Laterite soil

The correct answer is: Laterite soil.

Laterite soil is a type of soil that is rich in iron and aluminum oxides. It is formed in tropical and subtropical regions with high rainfall and temperatures. The decomposition of archean granite, gneiss and quartz rocks in these regions produces laterite soil.

Laterite soil is a very fertile soil and is used for agriculture. It is also used in the construction of roads and buildings.

Red soil is a type of soil that is formed in tropical and subtropical regions with low rainfall. It is rich in iron oxides and is reddish in color.

Black soil is a type of soil that is formed in semi-arid regions. It is rich in organic matter and is black in color.

Alluvial soil is a type of soil that is formed by the deposition of sediments from rivers and streams. It is a very fertile soil and is used for agriculture.