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Agricultural Engineering Gate 2014 Questions with Answer
Ques 1 GATE 2014
Oil yield (Yo) of mustard after N days of flowering is expressed as Yo = -0.0018 N² + 0.1319 N - 0.743 For maximum oil yield, optimum stage of harvesting, in days after flowering is,
Ques 2 GATE 2014
If two independent variables X and Y are uncorrelated then
Ques 3 GATE 2014
A partial differential equation containing dependent variable u is given by A ∂²u/∂x² + 2B ∂²u/∂x∂y + C ∂²u/∂y² + D ∂u/∂x + E ∂u/∂y + F u + G = 0 where A, B, C, D, E, F and G are constants or functions of independent variables x or y only. Also G ≠ 0. The nature of the equation is
Ques 4 GATE 2014
If f(x, y) = 3x² -4xy + 2y², the summation of ∂f/∂x and ∂f/∂y for x=1 and y=2 is _______.
Ques 5 GATE 2014
The eigenvalues of the matrix
are
Ques 6 GATE 2014
The value of line integral I = ∫_C (x²y dx + (x-z) dy + (xyz) dz), where C is the arc of the parabola y = x² in the plane z = 2 from P(0,0,2) to Q(1,1,2), is
Ques 7 GATE 2014
Consider the following set of linear equations x₁ + x₂ + x₃ = 6; 2x₁ + 2x₂ + 3x₃ = 14; 3x₁ + x₂ + 2x₃ = 14. The solution for this set exists only when the value of x₂ is _______.
Ques 8 GATE 2014
If f(x) is a normal distribution with mean 8 and standard deviation 1, the value of f(x) for x = 10 is
Ques 9 GATE 2014
The value of ∫_0^{π/2} cos²x / (1 + sin x) dx is
Ques 10 GATE 2014
The day length (sunshine hours) on 31st May 2014 at a place in India (26°18’ N, 73°01’ E) will be___________.
Ques 11 GATE 2014
While operating a pedal thresher, 14 kg of paddy seed remained unthreshed for a throughput of 112 kg. If the quantity of the threshed seed obtained was 70 kg, the threshing efficiency in percent is
Ques 12 GATE 2014
A vertical conveyor reaper costing Rs. 75000 has a useful life of 8 years. Taking salvage value of the machine as 10% of the initial cost, the depreciated value after half of its useful life following straight line method will be Rs. ________.
Ques 13 GATE 2014
With increasing grain height in a deep cylindrical grain bin, the pressure at its base will
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