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GATE 2026 CE (CE2) – Question 59

Geotechnical Engineering · Three-phase system, phase relationships, index properties and soil classification · 2 marks · Numerical answer

A soil sample has following properties:

Natural water content = 30 %

Plasticity index = 40 %

Liquidity index = 50 %

The estimated plastic limit (in %) of the soil is ________ (*rounded off to one decimal place*).

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Correct answer: 9.95 to 10.05

Explanation

The liquidity index is $LI = \frac{w - PL}{PI}$. So $0.5 = \frac{30 - PL}{40}$, which gives $30 - PL = 20$ and $PL = 10.0$ %.