Mock

1. mark review Select the correct alternative from the given choices.

In a town, the population of males decreased by 25% from 2001 to 2002. The population of females increased by 20% in this period. If females formed 44 4/9% of the population in 2002, what percentage of the population in 2001 were males?

80%

66 2/3 %

50%

75%

Question 1 of 15

2. mark review Select the correct alternative from the given choices.

An electric field in free space is given as E=800 cos (10⁸t - βy)a_z V/m,

find (p) β, (q) λ

(p) (q)

0.222 rad/m 18.86 m

0.333 rad/m 18.86 m

0.22 rad/m 9.43 m

0.33 rad/m 9.43 m

Question 2 of 15

3. mark review Select the correct alternative from the given choices.

The sinusoidal signal has fundamental period N=20 samples, the smallest angular frequency for which x(n) is period?

π/10

1 rad/ 10 cyce

Question 3 of 15

4. mark review Select the correct alternative from the given choices.

Under high electric fields, in a semiconductor with increasing electric field.

the velocity of the charge carrier decreases

the mobility of charge carriers increases

the mobility of charge carriers decreases

Question 4 of 15

5. mark review Select the correct alternative from the given choices.

A TEM wave impinges obliquely on a dielectric boundary with ∈_r1 =4 & ∈_r2=3. The angle of incidence of total reflection is?

60°

120°

80°

30°

Question 5 of 15

6. mark review Select the correct alternative from the given choices.

The convolution product of

x[n]= {1,2,3,4} 0 ≤ n ≤ 3

h(n)= (1,2,1, -1) 0 ≤ n ≤ 3 is?

y(n)= {1,8,8,11,4,1, -4}

y(n)= {1,4,8,10,9,1, -4}

y(n)= {1,4,8,11,9,1, -4}

y(x)= {1,8,8,11, -4,1, -4}

Question 6 of 15

7. mark review Select the correct alternative from the given choices.

If the average of square of 10 observations is 34 and their average is 5, then their standard deviation is?

Question 7 of 15

8. mark review Select the correct alternative from the given choices.

The discrete time Fourier transform of signal x(n) is given as X(e^jw)=4 sin²w. Determine corresponding x(n).

℘(n) - ℘(n+2) - ℘(n - 2)

℘(n )+ ℘(n+2) - ℘(n - 2)

2℘(n) - ℘(n+2) - ℘(n - 2)

2℘(n) + ℘(n+2) - ℘(n - 2)

Question 8 of 15

9. mark review Select the correct alternative from the given choices.

Consider the system shown in figure. For damping ratio 0.5, the value of 'a' is?

0.8

0.2

1.2

0.6

Question 9 of 15

10. mark review Fill in the blanks with the right option from the given choices.

The human auditory system perceives sound frequencies ranging---------20 Hz through 20000 Hz.

from

Question 10 of 15

11. mark review Select the correct alternative from the given choices.

The average weight of all the students of classes I and II equals the average weight of the students of the two classes. There are twice as many students in class II as in class I. The sum of twice the average weight of student's in class I and the average weight of the student of class II is 60 kg. Find the average weight of class I (in kg).

Question 11 of 15

12. mark review Select the correct alternative from the given choices.

A system is described by the following state and output equations

dx₁(t)/dt= -3x₁(t)+x₂(t)+2u(t)

dx₂(t)/dt= -x₂(t)+u(t)

y(t)=x₁(t)

where u(t) is the input and y(t) is the output.

The state-transition matrix of the system is?

e -3t e -2t+e 3t 0 e -2t

e 3t e -2t - e -3t 0 e -2t

e 3t e -2t - e3t 0 e 2t

e -3t 0 e -2t+e -3t e-2t

Question 12 of 15

13. mark review Select the correct alternative from the given choices.

The integral ∫^∞ -1/1+x²dx converges to.

π/2

-π

-π/2

Question 13 of 15

14. mark review Select the correct alternative from the given choices.

Find the residue of 1/(z²+4)³ at z=2i.

1/512i

3/512i

3/128i

3/256i

Question 14 of 15

15. mark review Select the correct alternative from the given choices.

The values of λ and µ for which the system of equations x+y+z=9, 2x+3y+z=16 and x+2y+λz=µ have a unique solution are?

λ≠1, µ∈R

λ ∈ R, µ≠0

λ ≠ 0, µ ∈ R

λ ∈ R, µ = 7

Question 15 of 15

Test Name	GAT ECE Mock Test
Subject	Mock Test
Test Type	MCQs
Total Question	60
Total Marks	120
Total Time	40 Minutes
Test Help For	GAT ECE Test. General Knowledge. Entry Test. IIT Guwahati Test. M.Tech Programme. Electronics Engineering. Admissions Entrance Exams. IITs Test. NITs Test. IIITs Test.

Test By Subject	Mock Test
Test By Topics	GAT ECE Mock Test

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