Electronics & Communication Gate Yearwise 

Electronics and Communication Gate 2013 Set-3 Questions with Answer

Ques 14 GATE 2013 SET-3

The state diagram of a system is shown below. A system is described by the state-variable equations Ẋ = AX + Bu; y = CX + Du.

The state-variable equations of the system shown in the figure above are

A

B

C

D


(a) is the correct answer.

Ques 15 GATE 2013 SET-3

The state diagram of a system is shown below. A system is described by the state-variable equations Ẋ = AX + Bu; y = CX + Du.

The state transition matrix eAt of the system shown in the figure above is

A

[e-t 0 ]
[te-t e-t]

B

[e-t 0 ]
[-te-t e-t]

C

[e-t 0 ]
[e-t e-t]

D

[e-t -te-t]
[ 0 e-t ]


(a) is the correct answer.

Ques 16 GATE 2013 SET-3

A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles

A

an AND gate

B

an OR gate

C

an XOR gate

D

a NAND gate


(c) is the correct answer.

Ques 17 GATE 2013 SET-3

There are four chips each of 1024 bytes connected to a 16 bit address bus as shown in the figure below. RAMs 1, 2, 3 and 4 respectively are mapped to addresses

A

0C00H-0FFFH, 1C00H-1FFFH, 2C00H-2FFFH, 3C00H-3FFFH

B

1800H-1FFFH, 2800H-2FFFH, 3800H-3FFFH, 4800H-4FFFH

C

0500H-08FFH, 1500H-18FFH, 3500H-38FFH, 5500H-58FFH

D

0800H-0BFFH, 1800H-1BFFH, 2800H-2BFFH, 3800H-3BFFH


(d) is the correct answer.

Ques 18 GATE 2013 SET-3

In the circuit shown below, Q1 has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If Vcc is +5 V, X and Y are digital signals with 0 V as logic 0 and Vcc as logic 1, then the Boolean expression for Z is

A

X̄Ȳ

B

X̄Y

C

XȲ

D

XY


(b) is the correct answer.

Ques 19 GATE 2013 SET-3

Complete the sentence:
Dare _______________ mistakes.

A

commit

B

to commit

C

committed

D

committing


(a) is the correct answer.

Ques 20 GATE 2013 SET-3

Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on.
Which one of the following is the best inference from the above statement?

A

The emergence of nationalism in colonial India led to our Independence.

B

Nationalism in India emerged in the context of colonialism.

C

Nationalism in India is homogeneous.

D

Nationalism in India is heterogeneous.


(d) is the correct answer.

Ques 21 GATE 2013 SET-3

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


(c) is the correct answer.

Ques 22 GATE 2013 SET-3

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, ∞)


(b) is the correct answer.

Ques 23 GATE 2013 SET-3

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


(a) is the correct answer.

Ques 24 GATE 2013 SET-3

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

A

(10 × 9n - 1)/9

B

(8 × 9n - 1)/9

C

(9n - 8)/n

D

(9n - 8)/n2


(b) is the correct answer.

Ques 25 GATE 2013 SET-3

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.


(d) is the correct answer.

Ques 26 GATE 2013 SET-3

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


(d) is the correct answer.

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