Gate Yearwise 

Textile Engineering Gate 2016 Questions with Answer

Ques 1 GATE 2016

The test statistic to be used for carrying out a test of hypothesis on the mean of a normal distribution with unknown variance is

A

Z

B

T

C

X2

D

F


(b) is the correct answer.

Ques 2 GATE 2016

If the length of a confidence interval on the mean of a normal distribution with known variance is to be halved, the sample size must

A

increase by 2 times

B

decrease by 2 times

C

increase by 4 times

D

decrease by 4 times


(c) is the correct answer.

Ques 3 GATE 2016

The eigen values and eigen vectors of

are

A

B

C

D


(a) is the correct answer.

Ques 4 GATE 2016

Let f(x,y,z) = 1/√(x2 + y2 + z2). The value of (∂2f/∂x2) + (∂2f/∂y2) + (∂2f/∂z2) is equal to


(-0.01: 0.01) is the correct answer.

Ques 5 GATE 2016

Let X be a continuous type random variable with probability density function

. When P(X ≤ x) = 0.75, the value of x is equal to


(1.99: 2.01) is the correct answer.

Ques 6 GATE 2016

The integrating factor of (2cos y + 4x2)dx - x sin y dy = 0 is

A

-x

B

x

C

x2

D

-x2


(b) is the correct answer.

Ques 7 GATE 2016

The Fourier series of the periodic function

and f(x + 2π) = f(x) is given by (4k/π)(sin x + (1/3)sin 3x + (1/5)sin 5x + ...). Then, the value of (4/π)(1 - (1/3) + (1/5) - (1/7) + ...) is equal to _________.


(0.99: 1.01) is the correct answer.

Ques 8 GATE 2016

If |9y-6|=3, then y2-4y/3 is

A

0

B

+1/3

C

-1/3

D

undefined


(a) is the correct answer.

Ques 9 GATE 2016

The numeral in the units position of 211870 + 146127 × 3424 is


(7.0:7.0) is the correct answer.

Ques 10 GATE 2016

The partial differential equation Uxx + Uyy = 0 is of type______.

A

Elliptic

B

Parabolic

C

Hyperbolic

D

Mixed type


(a) is the correct answer.

Ques 11 GATE 2016

Which of the following is a multi-step numerical method for solving the ordinary differential equation?

A

Euler method

B

Improved Euler method

C

Runge-Kutta method

D

Adams-Multon method


(d) is the correct answer.

Ques 12 GATE 2016

Let X be a normally distributed random variable with mean 2 and variance 4. Then, the mean of (X-2)/2 is equal to ______.


(-0.01: 0.01) is the correct answer.

Ques 13 GATE 2016

Let

The determinant of A-1 is equal to

A

1/2

B

4/3

C

3/4

D

2


(b) is the correct answer.

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