GATE ECE format:mcq PYQs & Answers — Page 33

Questions 321–330 of 426. Imported answers require independent review unless marked reviewed.

Leila aspires to buy a car worth Rs. 10,00,000 after 5 years. What is the minimum amount in Rupees that she should deposit now in a bank which offers 10% annual rate of interest, if the interest was compounded annually?

Your answerChoose one option.

5,00,000

6,21,000

6,66,667

7,50,000

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Two alloys A and B contain gold and copper in the ratios of 2:3 and 3:7 by mass, respectively. Equal masses of alloys A and B are melted to make an alloy C. The ratio of gold to copper in alloy C is ______.

Your answerChoose one option.

5:10

7:13

6:11

9:13

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The Cricket Board has long recognized John’s potential as a leader of the team. However, his on-field temper has always been a matter of concern for them since his junior days. While this aggression has filled stadia with die-hard fans, it has taken a toll on his own batting. Until recently, it appeared that he found it difficult to convert his aggression into big scores. Over the past three seasons though, that picture of John has been replaced by a cerebral, calculative and successful batsman-captain. After many years, it appears that the team has finally found a complete captain.

Which of the following statements can be logically inferred from the above paragraph? (i) Even as a junior cricketer, John was considered a good captain. (ii) Finding a complete captain is a challenge. (iii) Fans and the Cricket Board have differing views on what they want in a captain. (iv) Over the past three seasons John has accumulated big scores.

Your answerChoose one option.

(i), (ii) and (iii) only

(iii) and (iv) only

(ii) and (iv) only

(i), (ii), (iii) and (iv)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A cab was involved in a hit and run accident at night. You are given the following data about the cabs in the city and the accident. (i) 85% of cabs in the city are green and the remaining cabs are blue. (ii) A witness identified the cab involved in the accident as blue. (iii) It is known that a witness can correctly identify the cab colour only 80% of the time.

Which of the following options is closest to the probability that the accident was caused by a blue cab?

Your answerChoose one option.

12%

15%

41%

80%

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A coastal region with unparalleled beauty is home to many species of animals. It is dotted with coral reefs and unspoilt white sandy beaches. It has remained inaccessible to tourists due to poor connectivity and lack of accommodation. A company has spotted the opportunity and is planning to develop a luxury resort with helicopter service to the nearest major city airport. Environmentalists are upset that this would lead to the region becoming crowded and polluted like any other major beach resorts.

Which one of the following statements can be logically inferred from the information given in the above paragraph?

Your answerChoose one option.

The culture and tradition of the local people will be influenced by the tourists.

The region will become crowded and polluted due to tourism.

The coral reefs are on the decline and could soon vanish.

Helicopter connectivity would lead to an increase in tourists coming to the region.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Two identical MOS transistors M₁ and M₂ are connected as shown below. The circuit is used as an amplifier with the input connected between G and S terminals and the output taken between D and S terminals. V_bias and V_D are so adjusted that both transistors are in saturation. The transconductance of this combination is defined as

while the output resistance is

, where i_D is the current flowing into the drain of M₂. Let g_m₁, g_m₂ be the transconductances and r_o₁, r_o₂ be the output resistances of transistors M₁ and M₂, respectively.

Diagram for Electronics and Communication Engineering question 1

Which of the following statements about estimates for g_m and r_o is correct?

Your answerChoose one option.

and

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In the circuit shown below, the op-amp is ideal and Zener voltage of the diode is 2.5 volts. At the input, unit step voltage is applied, i.e.

volts. Also, at t = 0, the voltage across each of the capacitors is zero.

Diagram for Electronics and Communication Engineering question 2

The time t, in milliseconds, at which the output voltage v_OUT crosses −10 V is

Your answerChoose one option.

2.5

7.5

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A good transimpedance amplifier has

Your answerChoose one option.

low input impedance and high output impedance.

high input impedance and high output impedance.

high input impedance and low output impedance.

low input impedance and low output impedance.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let the input be

and the output be

of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system:

Your answerChoose one option.

(with initial rest conditions)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:

Your answerChoose one option.

Both the criteria provide information relative to the stable gain range of the system.

The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.

The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.

The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE ECE format:mcq PYQs

Question 6

Question 7

Question 8

Question 9

Question 10

Question 1

Question 2

Question 3

Question 4

Question 5