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Agricultural Engineering Gate 2024 Questions with Answer
Ques 1 GATE 2024
If two distinct non-zero real variables x and y are such that (x+y) is proportional to (x-y) then the value of x/y
Ques 2 GATE 2024
Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
Ques 3 GATE 2024
The number of coins of ₹1, 25, and 10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in 25 coins is _______.
Ques 4 GATE 2024
For positive non-zero real variables p and q, if log(p² + q²) = log p + log q + 2 log 3, then, the value of (p⁴+q⁴)/(p²q²) is _______.
Ques 5 GATE 2024
A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken.
Then, the ratio of the volume of the cylindrical tube to the volume of the cube is _______.
Ques 6 GATE 2024
A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is _______.
Ques 7 GATE 2024
The divergence of the curl of a twice continuously differentiable vector function is _______.
Ques 8 GATE 2024
Laplace transform of a function f(t) = t⁴ as a function of 's' is _______.
Ques 9 GATE 2024
A continuously differentiable function y = f(x) satisfies one or more of the following conditions at its point of inflection:
Ques 10 GATE 2024
The mean and variance of a dataset are 16 and 25, respectively. The coefficient of variation of the dataset, in %, is _______. (Rounded off to 2 decimal places)
Ques 11 GATE 2024
The chances for passing an endurance test for three threshers P, Q and R are 1/6, 1/4 and 1/2, respectively. The probability of passing the endurance test by at least one thresher, in fraction, is _______. (Rounded off to 2 decimal places)
Ques 12 GATE 2024
Ques 13 GATE 2024
The complete solution for the differential equation d²y/dx² + 2dy/dx - 3y = 0 for y(0) = 0 and dy/dx(0) = 8 is _______.
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