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[QUOTE=Brightlin;315972][B][U]Name of the Organisation [/U][/B]: Indian Institute of Technology Kharagpur
[B][U]Name of the Exam [/U][/B]: GATE Exam
[B][U]Document Type [/U][/B]: Previous Question Paper
[B][U]Year[/U][/B]: 2016
[B][U]Subject[/U][/B]:  Engineering Sciences

[B][U]Website [/U][/B]: [URL]http://gate.iitkgp.ac.in/?id=gdl[/URL]
[B][U]Download Model/Sample Question Papers[/U][/B]:
[B][U]Engineering Sciences [/U][/B]: [URL]http://www.indianjobtalks.com/uploads/76222-xe_2016.pdf[/URL]
[B][U]Textile Engineering and Fibre Science [/U][/B]: [URL]http://www.indianjobtalks.com/uploads/76222-tf_2016.pdf[/URL]
[B][U]Petroleum Engineering [/U][/B]: [URL]http://www.indianjobtalks.com/uploads/76222-pe_2016.pdf[/URL]
[B][U]Metallurgical Engineering [/U][/B]: [URL]http://www.indianjobtalks.com/uploads/76222-mt_2016.pdf[/URL]
[B][U]Instrumentation Engineering [/U][/B]: [URL]http://www.indianjobtalks.com/uploads/76222-in_2016.pdf[/URL]

[B][U]GATE Engineering Sciences Model Question Paper [/U][/B]: 
Q. 1 – Q. 5 carry one mark each.
Q.1 The chairman requested the aggrieved shareholders to _________________ him.
(A) bare with
(B) bore with
(C) bear with
(D) bare

[B][U]Q.2 Identify the correct spelling out of the given options[/U][/B]:
(A) Managable
(B) Manageable
(C) Mangaeble
(D) Managible

[B][U]Q.3 Pick the odd one out in the following[/U][/B]:
13, 23, 33, 43, 53
(A) 23
(B) 33
(C) 43
(D) 53

Q.4 R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes.
Which of the following can be logically inferred from the above statements?
(A) R2D2 is a robot which can only repair aeroplanes.
(B) R2D2 is the only robot which can repair aeroplanes.
(C) R2D2 is a robot which can repair only aeroplanes.
(D) Only R2D2 is a robot.

Q.5 If |9y-6| =3, then y2 -4y/3 is .
(A) 0
(B) +1/3
(C) -1/3
(D) undefined

[B][U]Q. 1 – Q. 7 carry one mark each. [/U][/B]:
Q.1 A company records heights of all employees. Let X and Y denote the errors in the average height of male and female employees respectively. Assume that x ~ y(0, 4) and x ~ y(0, 9) and they are independent. Then the distribution of N = (x + y)/2 is
(A) N( 6.5)
(B) N(0, 3.25)
(C) N(0, 2) 
(D) N(0, 1)

Q.2 The volume of the solid obtained by revolving the curve x2 = y , 0 = x = 1 around y-axis is
(A) 22/7
(B) 2 
(C) 22/7/2
(D) 22/7/5

Q.3 Let P(x) and Q(x)be the polynomials of degree 5, generated by Lagrange and Newton interpolation methods respectively, both passing through given six distinct points on the xy--plane.
Which of the following is correct?
(A) p(x)= Q(x)
(B) p(x) - Q(x) is a polynomial of degree 1
(C) p(x) - Q(x)  is a polynomial of degree 2
(D) p(x) - Q(x) is a polynomial of degree 3

Q4. A diagnostic test for a certain disease is 90% accurate. That is, the probability of a person having (respectively, not having) the disease tested positive (respectively, negative) is 0.9. Fifty percent of the population has the disease. What is the probability that a randomly chosen person has the disease given that the person tested negative?

Q5. Let (1 0) (0 1) 
M. Which of the following is correct?
(A) Rank of M is 1 and M is not diagonalizable
(B) Rank of M is 2 and Mis diagonalizable
(C) 1 is the only eigenvalue and M is not diagonalizable
(D) 1 is the only eigenvalue and M is diagonalizable[/QUOTE]

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