List of top Questions asked in GATE AG

The 2nd of June is a Thursday in a certain year. Which day of the week is the 3rd of July in that year?
A plough attachment, which is a miniature plough bottom that cuts a narrow, shallow furrow ahead of the shin and moves trash and roots toward the main furrow so that they are completely covered by the mouldboard, is called as
A four-cylinder four-stroke engine (100 mm bore and 120 mm stroke) runs at 1800 rpm mean speed with 0.9 MPa indicated mean effective pressure (IMEP).
The flywheel constant (ratio of the energy fluctuation to the indicated work per crankshaft revolution) is 0.30. All other losses are neglected.
For an allowable speed fluctuation of \(\pm 1\%\) about the mean, the required flywheel mass moment of inertia (in \(kg.m^2\)) is ________. (Rounded off to two decimal places)
(Take \(\pi = 3.14\))
The RMS sound pressure is increased by 50%. This increases the sound pressure level, in dB, nearly by
A natural colloidal clay, having the characteristics of absorbing water and swelling 8 to 15 times its dry size, used as an efficient and effective sealing material for farm ponds, is
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?
A small horizontal axis wind turbine (HAWT) is designed to deliver 2 kW shaft power at a steady wind speed of \(7\ \text{m.s}^{-1}\). The HAWT operates with an aerodynamic power coefficient of 0.36, a drivetrain efficiency of 0.90, and an air density of \(1.225\ \text{kg.m}^{-3}\). Neglecting other losses, the required rotor diameter is \(X\) m. When the wind speed drops to \(6\ \text{m.s}^{-1}\), the shaft power is \(Y\) kW. Identify the nearest correct option for the \(X\) and \(Y\) combination (take \(\pi = 3.14\))
Exacerbate : Mitigate :: ___________
Choose the option with the correct pair of words to fill the blank.
A trapezoidal channel carries \(5\ \text{m}^3\text{s}^{-1}\) 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 \(\text{m}^3\text{s}^{-1}\), is
The 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)
A 2WD tractor's driving axle experiences total dynamic normal load of 28 kN. The driving wheels have 0.60 m rolling radius. The total driving axle torque measured is 10.7 kN.m. At 18% wheel slip, the coefficient of net traction is 0.35. Tractive efficiency of the driving wheels, in %, is nearest to
A box contains one red ball and two blue balls. One ball is drawn at random, its colour is noted and the ball is returned to the box. The process is repeated. In the first two draws, blue ball appears each time. The probability of drawing blue ball again in the third draw is
A tractor-mounted boom sprayer carries a horizontal row of 12 identical flat-fan nozzles (spray angle \(110^{\circ}\)). To achieve uniform coverage, the required lateral overlap between adjacent nozzle footprints at the target plane is 30% of a single nozzle footprint. Boom height is 0.60 m above the target plane.
The tractor is set to travel at a theoretical forward speed of 8 km/h. Wheel slip is 8% and the field efficiency is 75%. All other losses are neglected.
The total time (in minutes) required to spray a 25 ha field is ________. (Rounded off to the nearest integer)
Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is ________.
A 2WD tractor has to develop 30 kN gross tractive force at the ground. Rolling radius of the rear-wheels is 0.73 m.
Each rear-wheel is driven by a simple planetary final-drive in which sun gear (26 teeth) is input, ring gear (78 teeth) is fixed, and the carrier is bolted to the rear-wheel hub.
The sun-planet external mesh efficiency is 98.5%, while the planet-ring internal mesh efficiency is 99%. Losses upstream of the final-drive are neglected.
The required sun-shaft input torque per rear-wheel (in kN.m) is ________. (Rounded off to two decimal places)
A tractor engine delivers 382 N.m brake torque at a rated speed of 2000 rpm. The radiator cooling fan draws 5% of the engine brake power. The fan pushes \(2.8\ \text{m}^3\text{s}^{-1}\) of air against 0.9 kPa static pressure rise. Assuming air as incompressible, and ignoring other losses, the fan efficiency, in %, is nearest to (Take \(\pi = 3.14\))
A homogeneous earthen embankment has an upstream water level of \(12\) m. The top width of the embankment is \(3\) m, and its upstream and downstream slopes (horizontal:vertical) are \(2:1\) and \(2.5:1\), respectively. A freeboard of \(2\) m is provided. The coefficient of permeability of the fill material is \(2.5 \times 10^{-5}\) m/s. If a \(20\) m long horizontal filter is placed inward from the downstream toe, the seepage discharge per unit length of the embankment is \(n \times 10^{-5}\) m\(^3\)/s per m. The value of \(n\) is ________. (Rounded off to two decimal places)
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 ______.
An 8 x 20 cm seed drill has a 0.60 m diameter ground wheel. On a hard-surface calibration stand, the drill delivers 814 g of seeds in 30 wheel revolutions.
When operated in a field having soft soil, the wheel's effective rolling circumference reduces by 4%. Neglecting other losses, the actual-field seed application rate (in kg/ha) is ________. (Rounded off to two decimal places)
(Take \(\pi = 3.14\))
A \(0.80\) km\(^2\) agricultural watershed has a slope of \(0.30\%\) and the maximum length of travel of water is \(1\) km. The \(10\)-year maximum depth of rainfall is tabulated below:
Duration (minutes)51020304060
Maximum depth of rainfall (mm)162439506065

Half of the watershed has row crops (runoff coefficient = \(0.40\)), whilst the other half of the watershed has pasture (runoff coefficient = \(0.35\)). The peak flow rate for the watershed (in m\(^3\)/s) for the \(10\)-year return period is ________. (Rounded off to two decimal places)
A tile drainage system having a drainage coefficient of 25 mm drains an area of \(0.2\ \text{km}^2\). The average discharge from the system (in \(\text{m}^3.\text{s}^{-1}\)) is ________. (Rounded off to three decimal places)
Uniformity of irrigation is checked in a border strip by measuring the water penetration depth at 16 equally spaced stations along the strip. The depths of penetration of water recorded (in mm) are as follows:

0.650.830.790.87
0.670.850.860.68
0.880.770.730.59
0.890.630.720.70

The distribution uniformity low-quarter (DULQ), in fraction, is ________.
Two rectangular channels, A and B, join to form a large rectangular channel, C. Each rectangular channel is lined with the same material and has the same bottom slope. The bottom widths of Channels A and B are \(2\) m and \(1\) m, respectively. If the flow depth in each channel is \(2\) m, the bottom width of Channel C (in m) is ________. (Rounded off to two decimal places)
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 (\(K_c\)) varies linearly from 0.4 at the initial stage to 1.2 at the mid-season stage. The reference crop evapotranspiration on the 40th day is 8 mm. The corresponding actual crop evapotranspiration (in mm) is ________.
A well fully penetrates a \(30\) m thick confined aquifer. After a long period of pumping at a constant rate of \(0.06\) m\(^3\)/s, 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 \(n \times 10^{-4}\) m/s. The value of \(n\) is ________ (Rounded off to two decimal places)