Agricultural Engineering Gate 2024 Questions with Answer

Ques 14 GATE 2024

The calculated value of e^2x using Taylor's series with first four terms for x = 1/2 is _______. (Rounded off to 3 decimal places)

Ques 15 GATE 2024

The directional derivative of u(x, y, z) = x²y + y²z at the point (1, 2, 3) in the direction î + 2ĵ + 3 is _______. (Rounded off to 2 decimal places)

Ques 16 GATE 2024

If the dynamic weight on the front axle is lesser than 20% of the total weight of tractor, the longitudinal instability of tractor can be avoided by

Ques 17 GATE 2024

In places with severe cold climate, the most important fuel property to be considered for running an internal combustion engine is

Ques 18 GATE 2024

A towed rigid wheel with a total weight W is to be rolled on a hard horizontal surface as well as up the slope on a hard surface inclined at an angle θ with the horizontal. The rolling resistance of the wheel on inclined surface as compared to that on the horizontal surface is

Ques 19 GATE 2024

The height of adult males at 5^th, 50^th and 95^th percentiles are 162 cm, 173 cm and 185 cm, respectively. The minimum inside height of the tractor cab required to ensure the satisfactory design based on the given data, in cm, is _______. (Answer in integer)

Ques 20 GATE 2024

A chain drive is used to transmit power from a DC motor to the shaft of a solar energy operated thresher by reducing the speed from 240 rpm to 120 rpm. The number of teeth on the driving sprocket is 20 and the pitch circle diameter of the driven sprocket is 600 mm. The pitch of the chain used, in mm, is _______. (Rounded off to 2 decimal places)

Ques 21 GATE 2024

A tractor drawn rotavator with a rotor radius 300 mm has 6 flanges having 3 blades in each flange acting in one plane. It is operated at a rotor speed of 180 rpm and a forward speed of 3 km.h⁻¹. Increasing the forward speed as well as the rotor speed by 15% each, the change in length of soil slice, in mm, is _______. (Answer in integer)

Ques 22 GATE 2024

The air standard cycle efficiency of the Otto cycle is 56% and heat supplied is 12.5 kJ, the heat rejected during the cycle, in kJ, is _______. (Rounded off to 2 decimal places)

Ques 23 GATE 2024

A power operated chaff cutter has an effective throat width of 450 mm and operating clearance of 150 mm. It is used for chopping straw at a moisture content of 20% with bulk density of 60 kg.m⁻³ while passing through the feed rolls. The number of knives on the cutter head are 4, speed of the cutter head is 540 rpm and the theoretical length of cut is 10 mm. The theoretical capacity of the chaff cutter, in ton.h⁻¹, is _______. (Rounded off to 2 decimal places)

Ques 24 GATE 2024

A 4.2 m self-propelled combine harvester operating at a forward speed of 3.5 km.h⁻¹ is used to harvest wheat in an area of 300 ha in a year at a field efficiency of 75%. Consider the variable cost to be linearly related to the actual hours of operation. To bring down the cost of operation per hour by 15%, the change in area required to be harvested per year, in ha, is _______. (Rounded off to 2 decimal places)

Ques 25 GATE 2024

A 3-cylinder 4-stroke diesel engine with a bore 73 mm and stroke 78 mm is tested at 2200 rpm. When a braking torque 55 N.m is applied, the indicated mean effective pressure is found to be 1050 kPa. The mechanical efficiency of the engine, in %, is _______. (Rounded off to 2 decimal places)

Ques 26 GATE 2024

A single acting disk harrow having 5 disks in each gang with a gang angle of 20° is operated at a forward speed of 3 km.h⁻¹ and a depth of 10 cm. The horizontal soil reaction force acting parallel to the face of each disk is found to be 250 N. The drawbar power required to pull the harrow, in kW, is _______. (Rounded off to 2 decimal places)