GATE AG 2026 • Q65 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Irrigation Water Conveyance and Application Methods

Subtopic: Design and evaluation of irrigation methods

Question Statement:

Uniformity of irrigation is checked in a border strip by measuring water penetration depth at 16 equally spaced stations along a border strip. The depths of penetration of water recorded are: 0.65, 0.83, 0.79, 0.87, 0.67, 0.85, 0.86, 0.68, 0.88, 0.77, 0.73, 0.59, 0.89, 0.63, 0.72, 0.70 The distribution uniformity low-quarter (DU_LQ) (in fraction) is ________ (Rounded off to two decimal places)

Official Answer Key:

0.81 to 0.88

Step-by-Step Solution & Explanation

Definition: DU_LQ = (average depth infiltrated in the lowest quarter of the field)/(average depth infiltrated over the whole field) Step 1 — identify the lowest quarter. With 16 observations, the low quarter comprises the 4 smallest values: 0.59, 0.63, 0.65, 0.67 Sum = 2.54 ⇒ low-quarter mean = 2.54/4 = 0.635 Step 2 — overall mean. Summing row-wise: Row 1: 0.65 + 0.83 + 0.79 + 0.87 = 3.14 Row 2: 0.67 + 0.85 + 0.86 + 0.68 = 3.06 Row 3: 0.88 + 0.77 + 0.73 + 0.59 = 2.97 Row 4: 0.89 + 0.63 + 0.72 + 0.70 = 2.94 Total = 12.11 ⇒ overall mean = 12.11/16 = 0.7569 Step 3 — distribution uniformity: DU_LQ = 0.635/0.7569 = 0.84 SECTION 6: AGRICULTURAL PROCESS ENGINEERING

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test