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Textile Engineering Gate 2021 Questions with Answer

Ques 1 GATE 2021

Let the function f(x,y) be defined as

Then ∂f / ∂y (0, 0) is equal to

A

√2

B

√3

C

0

D

1


(b) is the correct answer.

Ques 2 GATE 2021

If a continuous random variable X has the following probability density function

then the value of k is

A

1

B

2

C

3

D

4


(c) is the correct answer.

Ques 3 GATE 2021

The smallest positive real number $lambda$, for which the following problem

has non-zero solution, is

A

π2

B

π2/2

C

π2/4

D

π2/8


(c) is the correct answer.

Ques 4 GATE 2021

Suppose u(x,t)=1/2[g(x+ct)+g(x-ct)] is a solution of the following initial value problem of the wave equation

Then the value of c2, is


(9) is the correct answer.

Ques 5 GATE 2021

If the numerical solution of the initial value problem

is obtained by the Euler's method with step size of 0.2, then the value of y(0.4), (rounded off to two decimal places), is


(0.98 to 1.10) is the correct answer.

Ques 6 GATE 2021

The value of a, for which the following system of equations
2x+y+3z=a
x+z=2
y+z=2
is consistent, is

A

6

B

4

C

3

D

2


(a) is the correct answer.

Ques 7 GATE 2021

If the function f(x,y) is defined by

, then

A

Neither (0, 0) nor (1, 1) is a critical point

B

(0,0) is a critical point but (1, 1) is NOT a critical point

C

(0,0) is NOT a critical point but (1, 1) is a critical point

D

(0,0) and (1, 1) are both critical points


(d) is the correct answer.

Ques 8 GATE 2021

If 3 and 6 are eigenvalues of the matrix

then the value of μ is


(5) is the correct answer.

Ques 9 GATE 2021

If y(x) is a solution of
x2y''-4xy'+6y=0, y(-1)=1, y'(-1)=0
Then the value of y(2) is


(28) is the correct answer.

Ques 10 GATE 2021

Fabric structure related to weft knitting is

A

Locknit

B

Reverse locknit

C

Double tricot

D

1x1 Rib


(d) is the correct answer.

Ques 11 GATE 2021

The nonwoven technology which uses high-pressure water jets is

A

Needlepunching

B

Spunlacing

C

Spunbonding

D

Meltblowing


(b) is the correct answer.

Ques 12 GATE 2021

During air-jet weft insertion, if the diameter of the yarn increases by 20% then the percentage increase in drag force acting on the yarn would be


(20) is the correct answer.

Ques 13 GATE 2021

Group I gives a list of loom motions and Group II contains loom systems. Match the motion from Group I with the corresponding system from Group II.

A

P-1, Q-3, R-4, S-2

B

P-4, Q-3, R-2, S-1

C

P-4, Q-3, R-1, S-2

D

P-3, Q-4, R-1, S-2


(c) is the correct answer.

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