Agricultural Engineering Gate 2019 Questions with Answer

Ques 1 GATE 2019

∫₀^∞ dx / (x² + 1)² has the value

Ques 2 GATE 2019

The determinant of the matrix A = is

Ques 3 GATE 2019

In a relay race there are five teams A, B, C, D and E. Assuming that each team has an equal chance of securing any position (first, second, third, fourth or fifth) in the race, the probability that A, B and C finish first, second and third, respectively is

Ques 4 GATE 2019

Using trapezoidal rule, the value of I = ∫_4.0^5.2 ln(x) dx (rounded off to three decimal places) is.

Ques 5 GATE 2019

Two cards are drawn at random and without replacement from a pack of 52 playing cards. The probability that both the cards are black (rounded off to three decimal places) is.

Ques 6 GATE 2019

General solution to the differential equation y″ + 4y' + 5y = 0 is

Ques 7 GATE 2019

For vectors F = 3xy î − y² ĵ and R = x î + y ĵ, the value of ∮_C F.dR on the curve C (y = 2x²) in the x-y plane from (0, 0) to (1, 2) is

Ques 8 GATE 2019

Directional derivative of f(x, y, z) = xy² + yz³ at the point (2, -1, 1) in the direction of vector î + 2ĵ + 2k (rounded off to two decimal places) is.

Ques 9 GATE 2019

The mean absolute deviation about the median for the data 3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21 (rounded off to two decimal places) is.

Ques 10 GATE 2019

The path traced by the material threshed between the cylinder and the concave of an axial flow thresher is

Ques 11 GATE 2019

The farm machine/implement used only for preparing wetland is

Ques 12 GATE 2019

The type of typical spray distribution profile of a hollow cone nozzle is

Ques 13 GATE 2019

Head pulley of a bucket elevator has an effective radius of 150 mm. In order to obtain the most satisfactory discharge from this elevator, the speed of the head pulley in rpm is