Textile Engineering Gate 2010 Questions with Answer

Ques 1 GATE 2010


If X and Y are two independent random variables, then Variance (X-Y) is

A

Variance (X) + Variance (Y)

B

Variance (X) - Variance (Y)

C

Variance (Y) - Variance (X)

D

Variance (XY)


(a) is the correct answer.

Ques 2 GATE 2010


The matrix has one eigen value equal to 3. The sum of two other eigen values is

A

P

B

P+4

C

P-1

D

P+1


(d) is the correct answer.

Ques 3 GATE 2010


Cofactor of a in the following determinant is

A

3

B

5

C

7

D

9


(a) is the correct answer.

Ques 4 GATE 2010


A fair coin is tossed 4 times. What is the probability of getting heads 3 times?

A

1/2

B

1/4

C

1/6

D

1/8


(b) is the correct answer.

Ques 5 GATE 2010


The order and degree of following differential equation are
[2+(dy/dx)2]2=5(d2y/dx2)

A

4 and 2 respectively

B

2 and 2 respectively

C

2 and 1 respectively

D

2 and 5 respectively


(b) is the correct answer.

Ques 6 GATE 2010


Consider the series
1/2 + 1/3 - 1/4 + 1/8 + 1/9 - 1/16 + 1/32 + 1/27 - 1/64 + ...
The sum of the infinite series above is

A

∞

B

5/6

C

1/2

D

0


(b) is the correct answer.

Ques 7 GATE 2010


A tank has 100 litres of water. At the end of every hour the following two operations are performed in sequence: i) water equal to m% of the current contents of the tank is added to the tank, ii) water equal to n% of the current contents of the tank is removed from the tank. At the end of 5 hours the tank contains exactly 100 litres of water. The relation between m and n is

A

m=n

B

m>n

C

m<n

D

None of the previous.


(a) is the correct answer.

Ques 8 GATE 2010


The weave, that produces fabrics with maximum degree of smoothness, close packing of threads, heavy construction and high seam slippage is

A

Satin

B

Basket

C

Twill

D

Gabardine


(a) is the correct answer.

Ques 9 GATE 2010


The propelling force generated for insertion of weft yarn in air jet weaving system is independent of the

A

Strength of the yarn

B

Length of the yarn

C

Diameter of the yarn

D

Velocity of the yarn


(a) is the correct answer.

Ques 10 GATE 2010


It has taken fifty six long and frustrating years to turn bronze into gold for India's Olympics aspirations. Beijing 2008 marks a defining moment in India's Olympic history. From Delhi to Beijing is a long journey but one that our Olympians have undertaken with courage. Which of the following statements best sums up the meaning of the above passage:

A

India's participation in Olympics has been frustrating.

B

Beijing Olympics was a landmark in India's Olympic history.

C

Our Olympians have undertaken a long journey to Beijing.

D

India's bronze medal turned into gold at Beijing.


(b) is the correct answer.

Ques 11 GATE 2010


A gathering of 50 linguists discovered that 4 knew Kannada, Telugu and Tamil, 7 knew only Telugu and Tamil, 5 knew only Kannada and Tamil, 6 knew only Telugu and Kannada. If the number of linguists who knew Tamil is 24 and those who knew Kannada is also 24, how many linguists knew only Telugu?

A

9

B

10

C

11

D

8


(a) is the correct answer.

Ques 12 GATE 2010


A student is answering a multiple choice examination with 65 questions with a marking scheme as follows: i) 1 mark for each correct answer, ii) -1/4 for a wrong answer, iii) -1/8 for a question that has not been attempted. If the student gets 37 marks in the test then the least possible number of questions the student has NOT answered is

A

6

B

5

C

7

D

4


(d) is the correct answer.

Ques 13 GATE 2010


Size add-on is NOT influenced by

A

Machine speed

B

Squeeze pressure

C

Size paste concentration

D

Drying cylinder temperature


(b) is the correct answer.

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