Electrical Engineering Gate Yearwise 




Electrical Engineering Gate 2013 Set-1 Questions with Answer

Ques 53 GATE 2013 SET-1

What is the chance that a leap year, selected at random, will contain 53 Saturdays?

A

2/7

B

3/7

C

1/7

D

5/7


() is the correct answer.

Ques 54 GATE 2013 SET-1

The set of values of p for which the roots of the equation 3x² + 2x + p(p–1) = 0 are of opposite sign is

A

(–∞, 0)

B

(0, 1)

C

(1, ∞)

D

(0, ∞)


() is the correct answer.

Ques 55 GATE 2013 SET-1

A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16 km in the third quarter. The average speed of the car in km per hour over the entire journey is

A

30

B

36

C

40

D

24


() is the correct answer.

Ques 56 GATE 2013 SET-1

Find the sum to n terms of series: 10 + 84 + 734 + ...

A

(199n + 10)/1

B

(199n − 8)/1

C

(199n − 8)/n

D

(199n − 8)/n²


() is the correct answer.

Ques 57 GATE 2013 SET-1

The impulse response of a system is h(t) = t·u(t). For an input u(t−1), the output is

A

(t²/2)·u(t)

B

((t−1)²/2)·u(t−1)

C

((t²−1)/2)·u(t−1)

D

(t(t−1)/2)·u(t)


() is the correct answer.

Ques 58 GATE 2013 SET-1

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

A

All the poles of the system must lie on the left side of the jω axis.

B

Zeros of the system can lie anywhere in the s-plane.

C

All the poles must lie within |s|=1.

D

All the roots of the characteristic equation must be located on the left side of the jω axis.


() is the correct answer.

Ques 59 GATE 2013 SET-1

Two systems with impulse responses h1(t) and h2(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by

A

Product of h1(t) and h2(t)

B

Sum of h1(t) and h2(t)

C

Convolution of h1(t) and h2(t)

D

Subtraction of h2(t) from h1(t)


() is the correct answer.

Ques 60 GATE 2013 SET-1

For a periodic signal v(t) = 30 sin(100t) + 10 cos(300t) + 6 sin(500t + π/4), the fundamental frequency in rad/s is?

A

100 rad/s

B

300 rad/s

C

500 rad/s

D

1500 rad/s


() is the correct answer.

Ques 61 GATE 2013 SET-1

A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is

A

5 kHz

B

12 kHz

C

15 kHz

D

20 kHz


(c) is the correct answer.

Ques 62 GATE 2013 SET-1

The impulse response of a continuous time system is given by h(t)=δ(t−1)+δ(t−3). The value of the step response at t=2 is

A

0

B

1

C

2

D

3


() is the correct answer.

Ques 63 GATE 2013 SET-1

They were requested not to quarrel with others.
Which one of the following options is the closest in meaning to the word quarrel ?

A

make out

B

call out

C

dig out

D

fall out


() is the correct answer.

Ques 64 GATE 2013 SET-1

Complete the sentence:
Dare ____ mistakes.

A

commit

B

to commit

C

committed

D

committing


() is the correct answer.

Ques 65 GATE 2013 SET-1

Choose the grammatically correct sentence.

A

Two and two add four.

B

Two and two become four.

C

Two and two are four.

D

Two and two make four.


() is the correct answer.

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