GATE 2026 AG – Question 65

Irrigation and Drainage Engineering · Irrigation Water Conveyance and Application Methods · 2 marks · Numerical answer

Water penetration depths at 16 equally spaced border-strip stations, in mm, are .65,.83,.79,.87,.67,.85,.86,.68,.88,.77,.73,.59,.89,.63,.72,.70. Find low-quarter distribution uniformity DULQ as a fraction, to two decimals.

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Correct answer: 0.81 to 0.88

Explanation

The low quarter contains the four smallest depths:.59,.63,.65,.67. Their mean is $(.59+.63+.65+.67)/4=.635$ mm. The overall mean is $12.11/16=.756875$ mm. Thus $DU_{LQ}=.635/.756875=.838976$,rounded **0.84**. Uniformity is a ratio, so any common rescaling of the listed depth units cancels.

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