Verified Answer :

Well, Basalt is not a sedimentary rock,quartz is not a sedimentary rock, and slate is not a sedimentary rock, so that leaves you with your answer. 

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Explanation:

Shale is a fine-grained, clastic sedimentary rock, composed of mud that is a mix of flakes of clay minerals and tiny fragments (silt-sized particles) of other minerals, especially quartz and calcite. ... It is the most common sedimentary rock.

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