Soil Mechanics and Foundation
The admixture of coarser particles like sand or silt to clay causes

decrease in both liquid limit and plasticity index
decrease in liquid limit and no change in plasticity index
decrease in liquid limit and increase in plasticity index
increase in both liquid limit and plasticity index

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Soil Mechanics and Foundation
For a loose sand sample and a dense sand sample consolidated to the same effective stress

ultimate strength is same but peak strength of dense sand is greater than that of loose sand
ultimate strength is same but peak
ultimate strength is different but peak strength is same
ultimate strength is same and also peak strength is same

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