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Textile Engineering Gate 2014 Questions with Answer

Ques 1 GATE 2014

The range of values of x satisfying the inequality x² - 3x + 2 < 0 is

A

x<0

B

0<x<1

C

1<x<2

D

cannot be determined


(c) is the correct answer.

Ques 2 GATE 2014

A very large tank contains 10 liters of pure water. Salt solution (20 g/l) is pumped into the tank at 2 liter per minute. The salt concentration in g/l in the tank after a very long time will be

A

5

B

10

C

20

D

40


(c) is the correct answer.

Ques 3 GATE 2014

The inverse Laplace transform of 2/(s² + 2s) + s/(s² + 4s + 4) is

A

1 - 2te-2t

B

1 - e-2t + 2te-2t

C

1 - 2e-2t + 2te-2t

D

e-2t + 2te-2t


(a) is the correct answer.

Ques 4 GATE 2014

The probability of obtaining a total of 5 in two throws of a dice is

A

1/6

B

1/9

C

1/12

D

1/18


(b) is the correct answer.

Ques 5 GATE 2014

Of the two eigen values of

A

One is positive and the other is negative

B

Both are positive

C

Both are negative

D

Both form a complex conjugate


(a) is the correct answer.

Ques 6 GATE 2014

The 51st common term between the two arithmetic sequences 15, 19, 23...... and 14, 19, 24....... is


(1019 to 1019) is the correct answer.

Ques 7 GATE 2014

The integrating factor for solving the differential equation
(dy/dx)cos(x) + y sin(x) = 2 cos3(x) is

A

ex

B

cos(x)

C

tan(x)

D

sec(x)


(d) is the correct answer.

Ques 8 GATE 2014

X is a continuous random variable whose probability density function is given by

The value of the constant K, accurate to three decimal places, is


(0.374 to 0.376) is the correct answer.

Ques 9 GATE 2014

∫02exdx is evaluated both by Trapezoidal rule and Simpson's 1/3 rule by taking two subintervals. The difference between the results, accurate to the second decimal place, is


(0.47 to 0.51) is the correct answer.

Ques 10 GATE 2014

Double acting dobby is driven from

A

Bottom shaft

B

Crank shaft

C

Tappet shaft

D

Rocking shaft


(a) is the correct answer.

Ques 11 GATE 2014

In air-jet loom

A

All the relay nozzles start jetting at the same time

B

Each relay nozzle has separate jetting time

C

Relay nozzles of a group start jetting at the same time

D

Main and relay nozzles have same jetting time


(c) is the correct answer.

Ques 12 GATE 2014

If the diameter of a torsion rod used in projectile loom is doubled then the torque required to twist it would increase by

A

2 times

B

4 times

C

8 times

D

16 times


(d) is the correct answer.

Ques 13 GATE 2014

Higher value of stitch cam setting in a weft knitting machine would

A

Increase the loop length and decrease the fabric areal density

B

Increase the loop length and increase the fabric areal density

C

Decrease the loop length and decrease the fabric areal density

D

Decrease the loop length and increase the fabric areal density


(a) is the correct answer.

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