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Practice Test: Electronics Engineering (ECE)- 11 - Electronics and Communication Engineering (ECE) MCQ


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30 Questions MCQ Test GATE ECE (Electronics) Mock Test Series 2025 - Practice Test: Electronics Engineering (ECE)- 11

Practice Test: Electronics Engineering (ECE)- 11 for Electronics and Communication Engineering (ECE) 2024 is part of GATE ECE (Electronics) Mock Test Series 2025 preparation. The Practice Test: Electronics Engineering (ECE)- 11 questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Practice Test: Electronics Engineering (ECE)- 11 MCQs are made for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Practice Test: Electronics Engineering (ECE)- 11 below.
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Practice Test: Electronics Engineering (ECE)- 11 - Question 1

Statement: All bags are cakes. All lamps are cakes.
Conclusions:
I. Some lamps are bags.
II. No lamp is bag.
Deduce which of the above conclusion logically follows statements:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 1

Since the middle term 'cakes' is not distributed even once in the premises, no definite conclusion follows. However, I and II involve only the extreme terms and form a complementary pair. So, either I or II follows.

Practice Test: Electronics Engineering (ECE)- 11 - Question 2

Man does not live by __________ alone.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 2

Man does not live by bread alone.

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Practice Test: Electronics Engineering (ECE)- 11 - Question 3

Extreme focus on syllabus and studying for tests has become such a dominant concern of Indian students that they close their minds to anything ___________ to the requirements of the exam.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 3

Extraneous – irrelevant or unrelated to the subject being dealt with

Practice Test: Electronics Engineering (ECE)- 11 - Question 4

Select the pair that best expresses a relationship similar to that expressed in the pair:
LIGHT : BLIND

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 4

As a blind person cannot see light and a Dumb person cannot speak. So option (a) is the correct answer.

Practice Test: Electronics Engineering (ECE)- 11 - Question 5

If = log(a + b), then:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 5

log a/b + logb/a = log ( a + b)

log ( a/b * b/a ) = log ( a + b )

log 1 = log ( a + b)

So, a + b = 1 .

a = 1 - b

b = 1 - a.

Therefore, If log a/b + log b/a = log (a + b), then a+ b = 1

Practice Test: Electronics Engineering (ECE)- 11 - Question 6

In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 6

Let number of candidates be n
50 × n – 100 × 30 = 45 × n
n = 600

Practice Test: Electronics Engineering (ECE)- 11 - Question 7

A solid 4cm cube of wood is coated with red paint on all the six sides. Then the cube is cut into smaller 1cm cubes. How many of these 1cm cubes have no colour on any side?

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 7

Number of cubes with 3 faces red = 8
Number of cubes with 2 faces red = 24
Number of cubes with 1 face red = 24
Number of cubes with no face red = 64-(24+24+8) = 8

Practice Test: Electronics Engineering (ECE)- 11 - Question 8

One of the warmest winters on record has put consumers in the mood to spend money.Spending is to be the strongest in thirteen years. During the month of February, sales of existing single family homes hit an annual record rate of 4.75 million. This paragraph best supports the statement that:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 8

This clearly the best answer because the paragraph directly states that warm weather affects consumers inclination to spend. It furthers states that the sales of single-family homes was at an all-time high. There is no support for choice a or c. Choice b is wrong because even though there were high sales for a particular February, this does not mean that sales are not higher in other months. Choice d presents a misleading figure of 4 million. The paragraph states that the record of 4.75 million was at an annual, not a monthly, rate.

Practice Test: Electronics Engineering (ECE)- 11 - Question 9

The age of father is 4 times more than the age of his son Amit. After 8 years, he would be 3 times older than Amit. After further 8 years, how many times will he be older than Amit?

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 9

Let Amit’s age be n years
Age of his father = (4n + n) = 5n years
After 8 years:
Amit’s age = n + 8
Father’s age =
3(n + 8) = 5n + 8
3n + 24 = 5n + 8
16 = 2n
n = 8 years
After further 8 years:
Amit’s age = 24 years
Father’s age = 5n +16 = 56 years
So father is 2.33 times older than Amit.

Practice Test: Electronics Engineering (ECE)- 11 - Question 10

Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 10
  • A is kept open for all t minutes and fills one-third the tank. Or, A should be able to fill the entire tank in '3t' minutes.
  • A and B together can fill the tank completely in t minutes. A alone can fill it in 3t minutes.
  • A and B together can fill 1t of the tank in a minute. A alone can fill 13t of the tank in a minute. So, in a minute, B can fill 1t−13t=23t. Or, B takes 3t2 minutes to fill an entire tank.
  • To fill one-third the tank, B will take t2 minutes. B is kept open for t - 10 minutes.
    t2 = t - 10, t = 20 minutes.
  • A takes 60 minutes to fill the entire tank, B takes 30 minutes to fill the entire tank. A is kept open for all 20 minutes. B is kept open for 10 minutes.
  • C, which is kept open for 8 minutes also fills one-third the tank. Or, c alone can fill the tank in 24 minutes. Choice (D) is the correct answer.
Practice Test: Electronics Engineering (ECE)- 11 - Question 11

The Thevenin's equivalent resistance to the left of AB in figure given below is given by:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 11

For finding the Thevenin’s equivalent resistance, 8 A current source will be open circuited while V volt voltage source will be short circuited.

Hence 

Practice Test: Electronics Engineering (ECE)- 11 - Question 12

What is the time period of the sinusoidal signal
x(n) = 10 cos(0.4n)  

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 12

Period N= K
=5K
= 5 {K = 1}

Practice Test: Electronics Engineering (ECE)- 11 - Question 13

In a radar system, the range of R1 is achieved at a frequency f1. Then the range R2 at frequency R2 = 8f1 would be __________ [Neglect effect of 1 on the Beam width.]

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 13

Practice Test: Electronics Engineering (ECE)- 11 - Question 14

Gate function is defined as ______________

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 14

A gate function is a rectangular function defined as

Where τ is pulse width.

Practice Test: Electronics Engineering (ECE)- 11 - Question 15

A signal m(t) = 5 cos(2π100t) is frequency modulated a carrier. The resulting FM signal is:

The approximate bandwidth of the FM signal would be:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 15


  = 
  =  3.2 KHz

Practice Test: Electronics Engineering (ECE)- 11 - Question 16

A system has a receiver noise resistance of It connected to an antenna with an input resistance of The noise figure of the system is:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 16

Noise figure = 1 +
Where, is the equivalent receiver noise resistance & is the resistance of antenna So, F = 1+ =2

Practice Test: Electronics Engineering (ECE)- 11 - Question 17

A phase lead compensating network has its transfer function The maximum phase lead occurs at a frequency of:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 17

Comparing with the standard phase lead compensating network


= 50 rad /sec

Practice Test: Electronics Engineering (ECE)- 11 - Question 18

The time taken for the output to settle within 2% of step input for the control system represented by is given by:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 18

Comparing the above transfer function with the standard second order transfer function



Practice Test: Electronics Engineering (ECE)- 11 - Question 19

If diameter of a circular cross-sectional antenna is 2m, and it is transmitted a signal at frequency 100MHz, determine the minimum distance for far field approximation.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 19

For far field approximation,

Practice Test: Electronics Engineering (ECE)- 11 - Question 20

A load impedance is to be matched to a lossless transmission line by using a quarter wave line transformer. The characteristics impedance of the quarter wave transformer.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 20

Practice Test: Electronics Engineering (ECE)- 11 - Question 21

What is the velocity of a plane wave in a lossless medium having a relative permittivity of 5 and relative permeability of unity?

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 21

Velocity of propagation is given by 

Practice Test: Electronics Engineering (ECE)- 11 - Question 22

A dipole antenna of/2 length has an equivalent total loss resistance is 0.5. The efficiency of antenna is:  

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 22

Radiation resistance of antenna,

Practice Test: Electronics Engineering (ECE)- 11 - Question 23

If an electrical system is compared to a fluid system, the electrical current corresponds to the:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 23

Electric current is nothing but flow of charge. Similarly in fluid system flow of water is comparable with electric current.

Practice Test: Electronics Engineering (ECE)- 11 - Question 24

For the circuit shown below, the collector to emitter voltage is:
 

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 24

Let the transistor be operating under active region.

Practice Test: Electronics Engineering (ECE)- 11 - Question 25

A power supply has a full load voltage of 24V. What is its no-load voltage for 5% regulation?

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 25

Voltage - Regulation,

Practice Test: Electronics Engineering (ECE)- 11 - Question 26

Two 100 W, 220 V bulbs are required to be connected across a 400 volts supply. The value of resistance to be inserted in the line so that the voltage across the bulbs does not exceed 220 V is:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 26

Total power drawn from the circuit = 2 x 100 = 200 W 

Hence, supply current is:

Let R be the series resistance to be inserted in the circuit such that the voltage across the bulbs is 220 V.

Applying KVL, we get:

Practice Test: Electronics Engineering (ECE)- 11 - Question 27

For a given op-amp, CMMR = 105 and differential gain Ad = 105. The common-mode gain of the op-amp is:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 27

Practice Test: Electronics Engineering (ECE)- 11 - Question 28

The system of linear equations:
3x + 4y = 6
2x + 3y = 5
has:

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 28

Auguemented matrix,


Since rank of matrix A as well as auguemented matrix is 2, therefore it has unique solution.

Practice Test: Electronics Engineering (ECE)- 11 - Question 29

Which of the following is a solution to the differential equation ?

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 29

Practice Test: Electronics Engineering (ECE)- 11 - Question 30

The value of the integral dz  is: (where C is the circle z = 1)

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 11 - Question 30



Since both the poles lie outside the unit circle therefore according to Cauchey – Integral,
the integration is zero.

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