# Gate/GATE ECE Mcq Sample Test,Sample questions

1.1/3

2.1/2

3.2/3

4.3/4

## Question: ``` One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one of the following is INCORRECT? I requested that he should be given the driving test today instead of tomorrow. ```

1. requested that

2.should be given

3.the driving test

## Question: ``` The electric field of a uniform plane electromagnetic wave in free space, along the positive x direction, is given by . The frequency and polarization of the wave, respectively, are ```

1. 1.2 GHz and left circular

2.4 Hz and left circular

3.1.2 GHz and right circular

4.4 Hz and right circular

1.4

2.6

3.8

4.10

1.1/4

2.1/16

3.7/16

4.9/16

1.7/80

2.63/80

3. 9/10

4.1/10

1. Q(âˆš2E/N0)

2.Q(âˆšE/N0)

3. Q(âˆšE/2N0)

4.Q(âˆšE/4N0)

## Question: `A source alphabet consists of N symbols with the probability of the first two symbols being the same. A source encoder increases the probability of the first symbol by a small amount ÃŽÂµ and decreases that of the second by ÃŽÂµ . After encoding, the entropy of the source`

1.increases

2.remains the same

3. increases only if N = 2

4.decreases

1.82.5 cm

2.1.05 m

3.1.58 m

4.1.75 m

## Question: ```An infinitely long uniform solid wire of radius a carries a uniform dc current of density j. The magnetic field at a distance r from the center of the wire is proportional to```

1.r for r < a and 1/r2 for r > a

2.0 for r < a and 1/r for r > a

3.r for r < a and 1/r for r > a

4.0 for r < a and 1/r2 for r > a

1.2.23

2.4.33

3.11.37

4.27.64

1.e-Ãâ‚¬/2

2.eÃâ‚¬/2

3.x

4.1

## Question: ```If x[n] = (1/3)|n| - (1/ 2)n u[n], then the region of convergence (ROC) of its Z-transform in the Z-plane will be ```

1.1/3 < |z| < 3

2.1/3 < |z| < 1/2

3.1/2 < |z| < 3

4.1/3 < |z|

1.1720

2.2625

3.4000

4.5250

1.0

2.1/2

3.1

4.3/2

1.44.2 W

2.50 W

3.62.5 W

4.125 W

1.250 Ã¢â€žÂ¦

2.27.5 Ã¢â€žÂ¦

3.25 Ã¢â€žÂ¦

4.22.5 Ã¢â€žÂ¦

1.1/4

2.1/2

3.1

4.2

## Question: `The input x(t) and output y(t) of a system are related as y(t) = . The system is`

1.time-invariant and stable

2.stable and not time-invariant

3.time-invariant and not stable

4.not time-invariant and not stable

1.21

2.25

3.41

4.46

## Question: `The power spectral density of a real process X(t) for positive frequencies is shown below. The values of E[X2(t)] and E[X(t)] , respectively, are`

1.6000/Ãâ‚¬, 0

2.6400/Ãâ‚¬, 0

3.6400/Ãâ‚¬, 20/(Ãâ‚¬ âˆš2)

4. 6000/Ãâ‚¬, 20/(Ãâ‚¬ âˆš2)

1.10 dB

2.12.6 dB

3.11.5 dB

4.18 dB

1.107

2.100

3.10

4.0

## Question: ```The transfer function of a compensator is given as Gc (s) = (s + a)/(s + b). Gc (s) is a lead compensator if ```

1. a =1, b = 2

2.a = 3, b = 2

3.a = "â€œ3, b = "â€œ1

4.a = 3, b = 1

## Question: `The unilateral Laplace transform of f(t) is 1/(s2 + s + 1). The unilateral Laplace transform of t f (t) is`

1.- s/(s2 + s + 1)2

2.- (2s + 1)/(s2 + s + 1)2

3. s/(s2 + s + 1)2

4.(2s + 1)/(s2 + s + 1)2

1.3/4

2.9/16

3.1/4

4.2/3

1.x = t - 1/2

2. x = t2 - 1/2

3.x = t2/2

4.x = t/2

## More MCQS

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