List of top Questions asked in GATE AG

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 _______

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 \(\pi = 3.14\))

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)

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

A circular mild steel storage bin of 8 m height contains wheat having bulk density of 800 \(\text{kg.m}^{-3}\). The coefficient of static friction between wheat grain and bin wall is 0.40 and hydraulic radius of the bin is 1 m. Equivalent diameter of the bin, in m, is

A single effect evaporator is used to concentrate orange fruit juice with 2.7:1 concentration ratio of product solid to feed solid. The juice is fed to the evaporator at \(100\ kg.h^{-1}\) and \(30\,^{\circ}\text{C}\), where the product moisture evaporates at \(60\,^{\circ}\text{C}\). The specific heat of juice is \(3.9\ kJ.kg^{-1}.^{\circ}\text{C}^{-1}\). The latent heat of vaporisation at 60 °C is \(2450\ kJ.kg^{-1}\). Heat to accomplish the evaporation, in \(MJ.h^{-1}\), is nearest to

The 2nd of June is a Thursday in a certain year. Which day of the week is the 3rd of July in that year?

When the bed slope of the discharge carrier in a chute spillway changes from steeper to milder, we provide a

In grinding of black pepper, 80% feed passes through 6 mm screen, and 80% product passes through 0.5 mm screen. The gross energy required is 10 kW.h per ton of material. Assuming Bond's law holds good, and for the same feed conditions, if 80% product passes through 0.2 mm screen, the energy required, in kW.h per ton of material, is nearest to

In wind erosion, the amount of soil transported varies

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)	5	10	20	30	40	60
Maximum depth of rainfall (mm)	16	24	39	50	60	65

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 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

Dimensionless parameter among the following options is

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)

A tractor PTO runs at a constant speed of 540 rpm to drive a rotary tiller through a flange coupling having a shear pin parallel to the shaft. The shear pin axis is located 60 mm from the PTO shaft axis. The allowable shear stress of the pin material is 200 MPa. For overload safety, the pin must fail at 150% of the rated torque to protect the gearbox. The tiller requires 40 kW under normal load at the rated PTO speed. Neglecting bending, stress concentration effects, and other losses, the pin diameter, in mm, is nearest to (take \(\pi = 3.14\))

Which plant hormone is mainly responsible for apical dominance?

Which nutrient is most commonly deficient in Indian soils?

The duty of water is defined as:

In Mendelian inheritance, the phenotypic ratio of a dihybrid cross is:

The permanent wilting point of soil corresponds approximately to which soil moisture tension?

Which one of the following crops is most sensitive to photoperiod?

The efficiency of irrigation system is maximum in:

The CEO’s decision to downsize the workforce was considered myopic because it sacrificed long-term stability to accommodate short-term gains.
Select the most appropriate option that can replace the word “myopic” without changing the meaning of the sentence.