Textile Engineering Gate 2011 Questions with Answer

Ques 1 GATE 2011


Probability of occurrence of two events E₁ and E₂ is 0.25 and 0.5, respectively. The probability of their simultaneous occurrence is 0.14. The probability that neither E₁ nor E₂ occurs is

A

0.11

B

0.25

C

0.39

D

0.86


(a) is the correct answer.

Ques 2 GATE 2011


The value of
limx → 0 ((1+x)n-1)/x is

A

0

B

n

C

D

1/n


(b) is the correct answer.

Ques 3 GATE 2011


The area of an ellipse with 'a' and 'b' as the length of major and minor axis, respectively, is

A

πab

B

π((a+b)/2)

C

π((ab)/4)

D

π((ab)/2)


(a) is the correct answer.

Ques 4 GATE 2011


The order and degree of the following differential equation are

A

order 1, degree 1

B

order 1, degree 2

C

order 2, degree 1

D

order 2, degree 2


(b) is the correct answer.

Ques 5 GATE 2011


X and Y are two matrices such that XY and X+Y are both defined. The CORRECT statement from amongst the following is

A

X and Y are square matrices of the same order

B

X is a square matrix whereas Y is a rectangular matrix

C

X and Y are diagonal matrices of different order

D

X and Y are rectangular matrices


(a) is the correct answer.

Ques 6 GATE 2011


A garment factory manufactures shirts. From the past history, it is known that 8 out of 100 collars and 5 out of 100 sleeves are defective. The probability that the assembled shirt will NOT have either of these defects is


(0.874) is the correct answer.

Ques 7 GATE 2011


The acceleration (a) of a cotton tuft flowing through a duct in a straight line follows the relationship
$a=8-t/5
where acceleration (a) is in cm/s² and time (t) is in s. The velocity (cm/s) of the tuft when acceleration is zero is

A

160

B

180

C

200

D

220


(c) is the correct answer.

Ques 8 GATE 2011


The number of solutions for the following system of inequalities is
X1 ≥ 0
X2 ≥ 0
X1+X2 ≤ 10
2X1+2X2 ≥ 22

A

0

B

infinite

C

1

D

2


(a) is the correct answer.

Ques 9 GATE 2011


For 2/2 twill weave, the heald shaft movement over one complete repeat will be the least in

A

Bottom closed shed

B

Semi open shed

C

Centre closed shed

D

Open shed


(c) is the correct answer.

Ques 10 GATE 2011


In a flat bed knitting machine, the loop length is controlled by

A

Raising cam

B

Stitch cam

C

Clearing cam

D

Guard cam


(b) is the correct answer.

Ques 11 GATE 2011


The power required for picking in a shuttle loom depends on

A

Weave of the fabric

B

Number of heald shafts

C

Reed width

D

Number of picking cams


(c) is the correct answer.

Ques 12 GATE 2011


Fabrics with the same sett but different weaves are woven on a loom. The tear strength will be minimum in a fabric having

A

Plain weave

B

3/1 twill weave

C

5-end satin weave

D

2/2 matt weave


(a) is the correct answer.

Ques 13 GATE 2011


For a 5/3 twill weave, if the rotational speeds of the crank shaft, bottom shaft and tappet shaft are X, Y and Z respectively, then X:Y:Z would be

A

1:4:8

B

8:4:1

C

2:1:1

D

2:1:8


(b) is the correct answer.

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