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Agricultural Engineering Gate 2017 Questions with Answer
Ques 1 GATE 2017
The matrix 
is a
Ques 2 GATE 2017
Characteristic equation of the matrix
[2 0 2]
[2 2 1]
with Eigen value λ is
Ques 3 GATE 2017
Direction cosines of the vector 3i - 2j + 6k are
Ques 4 GATE 2017
A box contains three white and four red balls. Two balls are drawn randomly in sequence. If the first draw resulted in a red ball, the probability of getting a second red ball in the next draw is
Ques 5 GATE 2017
The probability of getting two heads and two tails from four tosses of the same coin is
0.375 is the correct answer.
Ques 6 GATE 2017
Sphericity of a cube with each side as L is
0.75 is the correct answer.
Ques 7 GATE 2017
For a psychrometric ratio of 1.003 J/kg K, the latent heat of vaporization at the wet bulb temperature of 35°C is 2418.9 kJ/kg. The saturation vapour pressure is 19.7 kPa corresponding to the dry bulb temperature of 60°C. If the relative humidity of air is 20%, the saturation vapor pressure of the air at the wet bulb temperature in kPa will be
5.5 is the correct answer.
Ques 8 GATE 2017
A sphere 3.5 cm diameter made of copper (ρ = 8954 kg/m³, Cp = 0.4 kJ/kg K, k = 375 W/m K) is initially at uniform temperature of 200°C. It is suddenly placed in an environment of 35°C having convective film coefficient of 12 W/m² K. After 18 minutes of exposure, the temperature of the sphere in °C will be
123 is the correct answer.
Ques 9 GATE 2017
Divergence value of a function (xy)i - (z+3x)j + 4yk at x=1, y=2 and z=3 is
4 is the correct answer.
Ques 10 GATE 2017
Differentiation of (1 + x)1/x gives
Ques 11 GATE 2017
∫(a2 - x2)1/2 / x dx is
Ques 12 GATE 2017
The purchase price of a tractor is Rs. 5.0 lakh. Considering the constant rate of depreciation as 0.2 in declining balance method, the value of the tractor at the end of 4th year in lakh will be
2.04 is the correct answer.
Ques 13 GATE 2017
The pump used in high pressure orchard sprayer is
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