Textile Engineering Gate 2020 Questions with Answer

Ques 1 GATE 2020


For the matrix

the eigenvalues of the matrix A2 are

A

1,0,1

B

1,0,0

C

1, 1, 0

D

1,1,1


(d) is the correct answer.

Ques 2 GATE 2020


The integrating factor of the differential equation dy/dx + y = e-x is

A

ex

B

e-x

C

xe-x

D

xex


(a) is the correct answer.

Ques 3 GATE 2020


Laplace transform of cosh(t) is

A

1/(s2 - 1)

B

s/(s - 1)

C

s/(s2 - 1)

D

s/(s2 + 1


(c) is the correct answer.

Ques 4 GATE 2020


For the given system of linear equations, 2x-z=1; 5x+y=7; y+3z=5, the sum of x, y and z is


(4) is the correct answer.

Ques 5 GATE 2020


If F=xi+yj+zk, then the magnitude of ∇ x F is _______


(0) is the correct answer.

Ques 6 GATE 2020


Let L = limx→π/2(sin x)tan x. What is the value of L?

A

0

B

1

C

2

D


(b) is the correct answer.

Ques 7 GATE 2020


What is the solution of the differential equation d2y/dx2 + dy/dx - 2y = 0 which satisfies the conditions y(0) = 0 and y'(0) = 3?

A

e-x

B

ex

C

ex+e-2x

D

ex-e-2x


(d) is the correct answer.

Ques 8 GATE 2020


If the probability density function of a continuous random variable X is given by f(x) = e-x, 0 ≤ x < ∞, what is the mean of the random variable X?


(1) is the correct answer.

Ques 9 GATE 2020


Assuming the step size h=1, what is the numerical value of the definite integral
02 (x2)/(1+x3) dx
obtained using the Trapezoidal rule (rounded off to 2 decimal places)?


(0.70 to 0.75) is the correct answer.

Ques 10 GATE 2020


The technology that does NOT produce a nonwoven fabric is

A

Spunbonding

B

Hydroentangling

C

Meltblowing

D

Braiding


(d) is the correct answer.

Ques 11 GATE 2020


For the same yarn and fabric sett, the weave that gives the maximum tearing strength is

A

Plain

B

2x2 matt

C

5-end satin

D

2/1 twill


(c) is the correct answer.

Ques 12 GATE 2020


A shuttle loom is running at 180 picks per minute. The angular velocity of crank shaft (degree/second) is ________.


(1080) is the correct answer.

Ques 13 GATE 2020


At front centre (0°) and at back centre (180°) of a shuttle loom,

A

The sley velocities are the same but accelerations are different

B

The sley velocities are different but accelerations are the same

C

The sley velocities are the same and also accelerations are the same

D

The sley velocities are different and also accelerations are different


(a) is the correct answer.

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