Textile Engineering Gate 2018 Questions with Answer

Ques 1 GATE 2018


If y(x) is the solution of the differential equation yy' = 8x, with the initial condition y(0) = 2, what is the absolute value of y(2)?


(6) is the correct answer.

Ques 2 GATE 2018


If

is a continuous function for all real values of x, then f(8) is equal to


(20) is the correct answer.

Ques 3 GATE 2018


Let X be a random variable following the binomial distribution. If E(X)=2 and Var(X)=1.2, then P(X=2), accurate to three decimal places, is equal to


(0.325 to 0.365) is the correct answer.

Ques 4 GATE 2018


The value of the integral

is


(64) is the correct answer.

Ques 5 GATE 2018


Starting from the initial point x0 = 10, if the sequence {xn} is generated using the Newton-Raphson method to compute the root of the equation x4 - 600 = 0, what is x2, accurate to two decimal places?


(5.95 to 6.25) is the correct answer.

Ques 6 GATE 2018


If

what is the sum of all eigenvalues of the matrix M = A2 - 4A-1?


(17) is the correct answer.

Ques 7 GATE 2018


The standard deviation of population P is two times the standard deviation of population Q. The size of a random sample from population P is four times the size of a random sample from population Q. If eP and eQ denote the standard error of the means of the samples from P and Q, respectively, what is the ratio of eP to eQ?


(1) is the correct answer.

Ques 8 GATE 2018


For 0 ≤ x ≤ 2π, in which interval(s) are both sin x and cos x decreasing functions?

A

(0, π/2)

B

(π/2, π)

C

(π, 3π/2)

D

(3π/2, 2π)


(b) is the correct answer.

Ques 9 GATE 2018


f x² + x - 1 = 0, what is the value of x⁴ + 1/x⁴?

A

1

B

5

C

7

D

9


(c) is the correct answer.

Ques 10 GATE 2018


Bottom shaft of a shuttle loom, weaving 2 up 1 down twill weave, is rotating at 90 rpm. The speed of cam shaft (in rpm) is


(60) is the correct answer.

Ques 11 GATE 2018


If wale constant and course constant for knitted fabrics are 4.2 and 5.46, respectively, then the value of the loop shape factor, accurate to one decimal place, is


(1.3) is the correct answer.

Ques 12 GATE 2018


Compared to filaments in spunbonded nonwovens, those in meltblown nonwovens have
P. Lower orientation of molecular chains
Q. Higher orientation of molecular chains
R. Lower variability in diameter
S. Higher variability in diameter

A

P & R only

B

P & S only

C

Q & R only

D

Q & S only


(b) is the correct answer.

Ques 13 GATE 2018


Match the weave in Group I with fabric attribute in Group II.

A

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

B

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

C

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

D

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


(a) is the correct answer.

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