Textile Engineering Gate 2015 Questions with Answer

Ques 1 GATE 2015


If 3 and 4 are two eigen values of

for some real numbers a, b, c, d, e, and f, then the third eigen value of A is


(2) is the correct answer.

Ques 2 GATE 2015


If a continuous random variable X has probability density function

then the value of a is


(3) is the correct answer.

Ques 3 GATE 2015


The value of limx→0 (sin x)/x is


(1) is the correct answer.

Ques 4 GATE 2015


If

then the determinant of A-1 is


(1) is the correct answer.

Ques 5 GATE 2015


The number of linearly independent eigen vectors of the matrix is


(2) is the correct answer.

Ques 6 GATE 2015


The maximum value of f(x) = √2(sin x + cos x) for x in [0, π] is


(2) is the correct answer.

Ques 7 GATE 2015


Out of the following, the exact differential equation is

A

-ydx+xdy=0

B

ydx+xdy=0

C

ydx-xdy=0

D

dx+xdy=0


(a) is the correct answer.

Ques 8 GATE 2015


Let f: ℝ → ℝ be a continuous function such that f(1) = 0.32, f(2) = 0.125, f(3) = 0.025, and f(4) = 0.05. The value of the integral ∫14 f(x) dx, accurate up to three decimal places, obtained by the Trapezoidal rule with n = 3 is


(0.335) is the correct answer.

Ques 9 GATE 2015


The normal vector to the surface z = √(x² + y²) at (1,1,1) is

A

î +ĵ + k̂

B

î - ĵ + k̂

C

-î - ĵ + k̂

D

-î + ĵ + k̂


(c) is the correct answer.

Ques 10 GATE 2015


The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is


(19) is the correct answer.

Ques 11 GATE 2015


A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?

A

X and Y are not independent

B

Y and Z are dependent

C

Y and Z are independent

D

X and Z are independent


(c) is the correct answer.

Ques 12 GATE 2015


Purl is a

A

Woven structure

B

Nonwoven structure

C

Braided structure

D

Knitted structure


(d) is the correct answer.

Ques 13 GATE 2015


The technology/ies used for producing SMS fabric is/are

A

Spunlace

B

Spunlace and Meltblown

C

Needlepunch

D

Spunbond and Meltblown


(d) is the correct answer.

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