Agricultural Engineering Gate Yearwise 



Agricultural Engineering Gate 2018 Questions with Answer

Ques 1 GATE 2018

The general solution to the second order linear homogeneous differential equation y″ - 6y′ + 25y = 0 is

A

e3x(a cos 4x + b sin 4x)

B

e3ix(a cos 4x + b sin 4x)

C

e4x(a cos 3x + b sin 3x)

D

e4ix(a cos 3x + b sin 3x)


(a) is the correct answer.

Ques 2 GATE 2018

Solution of f(x) = x4 +2 x3 – 4 x2 + 3 x – 1 = 0 is

A

0.333

B

0.646

C

0.658

D

1.000


(c) is the correct answer.

Ques 3 GATE 2018

Integration of ∫0D/2 (2 R2 x dx) / (R2 + x2)2 is

A

R2 / (R2 + D2)

B

4 R2 / (4 R2 + D2)

C

D2 / (R2 + D2)

D

D2 / (4 R2 + D2)


(d) is the correct answer.

Ques 4 GATE 2018

The type of the sequence an = (n / (n-1))3 is

A

oscillatory

B

bounded

C

converging

D

diverging


(d) is the correct answer.

Ques 5 GATE 2018

The type of the sequence an = (n / (n-1))3 is

A

oscillatory

B

bounded

C

converging

D

diverging


(d) is the correct answer.

Ques 6 GATE 2018

For accepting or rejecting a null hypothesis, which one of the following is NOT used as a significance test method in statistics?

A

Z-test

B

Student’s t-test

C

Pearson’s correlation

D

Relative standard deviation


(d) is the correct answer.

Ques 7 GATE 2018

For accepting or rejecting a null hypothesis, which one of the following is NOT used as a significance test method in statistics?

A

Z-test

B

Student’s t-test

C

Pearson’s correlation

D

Relative standard deviation


(d) is the correct answer.

Ques 8 GATE 2018

Rank of a matrix is

A

1

B

2

C

3

D

4


(c) is the correct answer.

Ques 9 GATE 2018

A particle is subjected to forces P = 2 i - 5 j + 6 k and Q = - i + 2 j – k. The positional vectors are OA = 4 i – 3 j – 2 k and OB = 6 i + j – 3 k. Work done by the resultant force (F = P + Q) to move the particle from A to B is

A

2

B

-5

C

12

D

-15


(d) is the correct answer.

Ques 10 GATE 2018

In a box, there are 2 red, 3 black and 4 blue coloured balls. The probability of drawing 2 blue balls in sequence without replacing, and then drawing 1 black ball from this box is


(7) is the correct answer.

Ques 11 GATE 2018

During field evaluation of a combine harvester, total grain collected at the grain tank was 135 kg. Amount of threshed grain found over walker and shoe were 0.65 kg and 2.4 kg, respectively. Unthreshed grain lost with straw and chaff were 4.54 kg and 0.28 kg, respectively. Threshing efficiency of the combine harvester in percent is

A

94.37

B

94.49

C

96.50

D

96.63


(d) is the correct answer.

Ques 12 GATE 2018

A self-propelled power reaper with a 1.2 m wide cutter bar was operated at a forward speed of 4 km h-1. Turning loss during operation was observed to be 25 minutes per hectare. Neglecting any other losses, the field efficiency of the reaper will be


(83.33) is the correct answer.

Ques 13 GATE 2018

A tractor drawn five-tine sweep type cultivator is set at an angle (load angle) of 45° with the soil surface during its operation. The sweep of each tine experiences a normal force of 960 N on its surface. If the coefficient of soil-metal friction is 0.3, the total draft requirement of the cultivator is


(4.4) is the correct answer.

Unique Visitor Count

Total Unique Visitors

Loading......

Question Options

Contributed by: