Electrical Engineering Gate Yearwise 




Electrical Engineering Gate 2015 Set-2 Questions with Answer

Ques 40 GATE 2015 SET-2

A differential equation di/dt - 0.2i = 0 is applicable over -10 < t < 10. If i(4)=10, then i(-5) is ________.


(1.65) is the correct answer.

Ques 41 GATE 2015 SET-2

Given f(z) = g(z) + h(z), where f, g, h are complex valued functions of a complex variable z. Which one of the following statements is TRUE?

A

If f(z) is differentiable at z0, then g(z) and h(z) are also differentiable at z0.

B

If g(z) and h(z) are differentiable at z0, then f(z) is also differentiable at z0.

C

If f(z) is continuous at z0, then it is differentiable at z0.

D

If f(z) is differentiable at z0, then so are its real and imaginary parts.


(b) is the correct answer.

Ques 42 GATE 2015 SET-2

We have a set of 3 linear equations in 3 unknowns. 'X ≡ Y' means X and Y are equivalent statements and 'X ≢ Y' means X and Y are not equivalent statements.
P: There is a unique solution.
Q: The equations are linearly independent.
R: All eigenvalues of the coefficient matrix are nonzero.
S: The determinant of the coefficient matrix is nonzero.
Which one of the following is TRUE?

A

P ≡ Q ≡ R ≡ S

B

P ≡ R ≢ Q ≡ S

C

P ≡ Q ≢ R ≡ S

D

P ≢ Q ≢ R ≢ S


(a) is the correct answer.

Ques 43 GATE 2015 SET-2

Match the following.
P. Stokes's Theorem
Q. Gauss's Theorem
R. Divergence Theorem
S. Cauchy's Integral Theorem
1. ∫∫ D.ds = Q
2. ∮ f(z)dz = 0
3. ∫∫∫V(∇.A)dv = ∫∫SA.ds
4. ∫∫(∇xA).ds = ∮ A.dl

A

P-2, Q-1, R-4, S-3

B

P-4, Q-1, R-3, S-2

C

P-4, Q-3, R-1, S-2

D

P-3, Q-4, R-2, S-1


(b) is the correct answer.

Ques 44 GATE 2015 SET-2

The Laplace transform of f(t) = 2√(t/π) is s-3/2. The Laplace transform of g(t) = √(1/πt) is

A

3s-5/2/2

B

s-1/2

C

s1/2

D

s3/2


(b) is the correct answer.

Ques 45 GATE 2015 SET-2

We ________ our friend's birthday and we ________ how to make it up to him.

A

completely forgot --- don't just know

B

forgot completely --- don't just know

C

completely forgot --- just don't know

D

forgot completely --- just don't know


(c) is the correct answer.

Ques 46 GATE 2015 SET-2

Choose the statement where underlined word is used correctly.

A

The industrialist had a personnel jet.

B

I write my experience in my personnel diary.

C

All personnel are being given the day off.

D

Being religious is a personnel aspect.


(c) is the correct answer.

Ques 47 GATE 2015 SET-2

A generic term that includes various items of clothing such as a skirt, a pair of trousers and a shirt is

A

fabric

B

textile

C

fibre

D

apparel


(d) is the correct answer.

Ques 48 GATE 2015 SET-2

Based on the given statements, select the most appropriate option to solve the given question.
What will be the total weight of 10 poles each of same weight?
Statements:
(I) One fourth of the weight of a pole is 5 Kg.
(II) The total weight of these poles is 160 kg more than the total weight of two poles.

A

Statement I alone is not sufficient.

B

Statement II alone is not sufficient.

C

Either I or II alone is sufficient.

D

Both statements I and II together are not sufficient.


(c) is the correct answer.

Ques 49 GATE 2015 SET-2

Consider a function f(x) = 1 - |x| on -1 ≤ x ≤ 1. The value of x at which the function attains a maximum, and the maximum value of the function are:

A

0, -1

B

-1, 0

C

0, 1

D

-1, 2


(c) is the correct answer.

Ques 50 GATE 2015 SET-2

Out of the following four sentences, select the most suitable sentence with respect to grammar and usage:

A

Since the report lacked needed information, it was of no use to them.

B

The report was useless to them because there were no needed information in it.

C

Since the report did not contain the needed information, it was not real useful to them.

D

Since the report lacked needed information, it would not had been useful to them.


(a) is the correct answer.

Ques 51 GATE 2015 SET-2

In a triangle PQR, PS is the angle bisector of ∠QPR and ∠QPS = 60°. What is the length of PS?

A

(q+r)/qr

B

qr/(q+r)

C

√(q2+r2)

D

(q+r)2/qr


(b) is the correct answer.

Ques 52 GATE 2015 SET-2

If p, q, r, s are distinct integers such that:
f(p,q,r,s) = max(p,q,r,s)
g(p,q,r,s) = min(p,q,r,s)
h(p,q,r,s) = remainder of (p x q) / (r x s) if (p x q) > (r x s) or remainder of (r x s) / (p x q) if (r x s) > (p x q)
Also a function fgh(p,q,r,s) = f(p,q,r,s) x g(p,q,r,s) x h(p,q,r,s)
Also the same operations are valid with two variable functions of the form f(p,q).
What is the value of fg(h(2,5,7,3), 4,6,8)?


(8) is the correct answer.

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