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Agricultural Engineering Gate 2026 Questions with Answer
Ques 40 GATE 2026
Exacerbate : Mitigate :: ___________
Choose the option with the correct pair of words to fill the blank.
Ques 41 GATE 2026
A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?

Ques 42 GATE 2026
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore,
1. the total number of patients with at least one of these conditions is 75,
2. the number of patients with high cholesterol is 10,
3. the number of patients with high BP is 45, and
4. the number of patients with only high BP and no other conditions is 20.
Then the number of patients who have both diabetes and high BP is _______
Ques 43 GATE 2026
Four people P, Q, R, and S, of different ages, make the following observations.
P – I am younger than S.
Q – I am neither the youngest nor the oldest.
R – P is older than me.
Based on these observations, the youngest person is ______.
Ques 44 GATE 2026
Circles C1, C2, and C3, with centers O1, O2, and O3, and radii r1, r2, and r3, respectively, touch each other as shown in the following figure. Given r1 = 2 cm, r2 = 1 cm and the angle ∠O1O3O2 is 90°, r3 = _____ cm.

Ques 45 GATE 2026
A 2 mm diameter electric wire is insulated with 2 mm thick plastic. The plastic has a thermal conductivity of 0.5 W.m−1.K−1. The wire is exposed to air at 320 K and outside convective heat transfer coefficient is 25 W.m−2.K−1. Wire surface temperature is constant at 420 K and remains unaffected by the covering. Assuming steady state heat transfer conditions, the ratio of heat loss per metre of wire length with insulation to that without insulation is nearest to
(Take π = 3.14)
Ques 46 GATE 2026
A tubewell operating 10 hours per day discharges water at a rate of 25 m3.h−1. The average irrigation depth is 80 mm, and irrigation interval is 20 days. If intensity of irrigation is 80%, the culturable command area (in hectares) is ________. (Rounded off to two decimal places)
Ques 47 GATE 2026
Impeller speed of a centrifugal pump is increased by 30%. The power requirement of the pump increases by n times. The value of n is ________. (Rounded off to two decimal places)
Ques 48 GATE 2026
A well fully penetrates a 30 m thick confined aquifer. After a long period of pumping at a constant rate of 0.06 m3.s−1, drawdowns of 3.6 m and 2.0 m are found at distances 60 m and 120 m away from the well, respectively. The hydraulic conductivity of the aquifer is n × 10−4 m.s−1. The value of n is ________ (Rounded off to two decimal places)
Ques 49 GATE 2026
The crop period is divided into four stages, initial, grand growth, mid-season, and late-season, with each stage spanning 25 days. The crop coefficient varies linearly from 0.4 at initial stage to 1.2 at mid-season stage. The reference crop evapotranspiration on 40th day is 8 mm. The corresponding actual crop evapotranspiration (in mm) is ________ (Rounded off to two decimal places)
Ques 50 GATE 2026
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 in mm are as follows:
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 (DULQ) (in fraction) is ________ (Rounded off to two decimal places)
Ques 51 GATE 2026
A small horizontal-axis wind turbine (HAWT) is being designed to deliver 2 kW shaft power at a steady wind speed of 7 m.s−1. The HAWT operates with an aerodynamic power coefficient of 0.36, drivetrain efficiency of 0.90, and air density of 1.225 kg.m−3. Neglecting other losses, the required rotor diameter is X m.
When the wind speed drops to 6 m.s−1, the shaft power is Y kW. Identify the nearest correct option for X and Y combination
(Take π = 3.14)
Ques 52 GATE 2026
A trapezoidal channel carries 5 m3.s−1 of water under uniform flow condition. The channel has a bottom width of 2 m, side slope of 2:1 (horizontal: vertical), and a bed slope of 1%. If the Manning roughness coefficient is 0.03, the conveyance of the channel, in m3.s−1, is
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