List of top Questions asked in GATE Agricultural Engineering

If \(A = \begin{bmatrix} 1 & -1 \\ 2 & -1 \end{bmatrix}, \; B = \begin{bmatrix} a & 1 \\ b & -1 \end{bmatrix}\) and \((A + B)^2 = A^2 + B^2\), then the values of \(a\) and \(b\) are:
Match the Columns: \[ \begin{array}{|c|c|} \hline I & II
\hline 1. \; \text{Tensiometer} & a. \; \text{Consumptive use}
2. \; \text{Piezometer} & b. \; \text{Bernoulli's equation}
3. \; \text{Lysimeter} & c. \; \text{Soil moisture}
4. \; \text{Elbow meter} & d. \; \text{Hydrostatic pressure}
5. \; \text{Pitot tube} & e. \; \text{Volumetric flow rate}
\hline \end{array} \]
The information needed for estimating the design flood using Rational formula is:
The microbial death kinetics for a food suspension follows the equation: \[ \log \frac{N_0}{N} = 1 + \frac{t - t_l}{D} \] where \(N_0 =\) initial microbial load, \(N =\) microbial load after time \(t\), \(t_l =\) lag time, and \(D =\) decimal reduction time. The correct statement for this equation is:
If the diameter of fat globule in a cream separator is reduced to half and the rotational speed of the centrifuge increased to three times, the terminal settling velocity of fat globule is:
The log mean temperature difference (LMTD) correction factor is not required during heat transfer rate calculation in:
Identify the dimensionless parameter(s) from the following:
In a thresher, the cylinder separation efficiency can be improved by increasing
In a 4-stroke single cylinder diesel engine, the inlet valve opens at \(10^\circ\) before TDC and closes at \(40^\circ\) after BDC. The exhaust valve opens at \(25^\circ\) before BDC and closes at \(15^\circ\) after TDC. The percentage of time for which both valves remain closed in one engine cycle is
The torque available at maximum power developed by the tractor is \(150\ \mathrm{N\,m}\). If the reserve torque is \(20%\), the peak torque that can be developed by the tractor (in \(\mathrm{N\,m}\)) is
The statement which is not correct for the porous medium is
A sprinkler irrigation system has been designed for a crop with the water application rate of \(1.17 \,\text{cm h}^{-1}\) and sprinkler discharge of \(1.3 \,\text{L s}^{-1}\). The coefficient of discharge and uniformity coefficient are 0.9 and 0.8, respectively. If the sprinkler spacing along the lateral is 20 m, the lateral spacing in m is
The average discharge, operating pressure and emitter constant of a drip emitter are \(4\,\text{L h}^{-1}\), \(110\,\text{kPa}\) and \(0.3\), respectively. The type of emitter is
If the departure and latitude of a line are \(70\ \text{m}\) and \(-130\ \text{m}\), respectively, then the whole circle bearing (WCB) of the line in degrees is
If \(A\) and \(B\) are square matrices of order \(3\) such that \(|A|=-1\) and \(|B|=3\), then \(|3AB|\) equals:
Evaluate the limit \[ \lim_{x\to 0}\frac{\sqrt{\,1+x\,}-1}{x}. \]
The value of \[ I=\int_0^{\pi/2}\frac{(\sin x+\cos x)^2}{\sqrt{1+\sin 2x}}\,dx \] is:
\(y=ae^{mx}+be^{-mx}\) is the solution of the differential equation:
In rotary tiller, the total energy requirement for carrying out tillage will decrease if
The effectiveness of the turbocharger of a diesel engine increases when
A line of symmetry is a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. The given figure consists of \(16\) unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both \(PQ\) and \(MN\) form lines of symmetry? (The figure is representative.) \begin{center} \includegraphics[width=0.5\textwidth]{02.jpeg} \end{center}
Human beings are one among many creatures that inhabit an imagined world. In this world, some creatures are cruel. If it is given that the statement "Some human beings are not cruel creatures" is FALSE, then which of the following statements can be logically inferred with certainty? (i) All human beings are cruel creatures.
(ii) Some human beings are cruel creatures.
(iii) Some creatures that are cruel are human beings.
(iv) No human beings are cruel creatures.
To construct a wall, sand and cement are mixed in the ratio \(3:1\). The costs per unit of sand and cement are in the ratio \(1:2\). If the total cost of sand and cement is ₹~1000, what is the cost (in rupees) of cement used?
The World Bank has declared that it will not offer new financing to Sri Lanka until the country has an adequate macroeconomic policy framework. It adds that Sri Lanka needs structural reforms for stabilisation and to tackle root causes of the crisis. The crisis has starved the country of foreign exchange and led to shortages of essentials. The Bank is repurposing existing loans to ease shortages. Based only on this passage, which statement can be inferred with certainty?
The coefficient of \(x^4\) in \((x-1)^3(x-2)^3\) is equal to \underline{\hspace{1cm}}.