Electrical Engineering Gate Yearwise 




Electrical Engineering GATE 2015 Set-2 Questions with Answer

Ques 40 Engineering Mathematics

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



Ques 41 Engineering Mathematics

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.



Ques 42 Engineering Mathematics

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



Ques 43 Engineering Mathematics

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



Ques 44 Engineering Mathematics

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



Ques 45 General Aptitude

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



Ques 46 General Aptitude

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.



Ques 47 General Aptitude

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



Ques 48 General Aptitude

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.



Ques 49 General Aptitude

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



Ques 50 General Aptitude

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.



Ques 51 General Aptitude

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



Ques 52 General Aptitude

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)?



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