Electrical Engineering Gate 2018 Questions with Answer

Ques 1 GATE 2018

The op-amp shown in the figure is ideal. The input impedance v_in/i_in is given by

Ques 2 GATE 2018

In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain β = 100. The base-emitter voltage drop is a constant, V_BE = 0.7 V. The value of the Thevenin equivalent resistance R_Th (in Ω) as shown in the figure is ______ (up to 2 decimal places).

Ques 3 Gate 2018

“Since you have gone off the ________, the _________ sand is likely to damage the car.”
The words that best fill the blanks in the above sentence are

Ques 4 Gate 2018

"A common misconception among writers is that sentence structure mirrors thought; the more _________ the structure, the more complicated the ideas."
The word that best fills the blank in the above sentence is

Ques 5 Gate 2018

The three roots of the equation 𝑓(𝑥) = 0 are 𝑥 = {−2, 0, 3}. What are the three values of 𝑥 for which 𝑓(𝑥 − 3) = 0?

Ques 6 Gate 2018

For what values of 𝑘 given below is

Ques 7 Gate 2018

Functions 𝐹(𝑎, 𝑏) and 𝐺(𝑎, 𝑏) are defined as follows:
𝐹(𝑎, 𝑏) = (𝑎 − 𝑏)² and 𝐺(𝑎, 𝑏) = |𝑎 − 𝑏|, where |𝑥| represents the absolute value of 𝑥.
What would be the value of 𝐺(𝐹(1, 3), 𝐺(1, 3))?

Ques 8 Gate 2018

An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible?

Ques 9 Gate 2018

In a certain code, AMCF is written as EQGJ and NKUF is written as ROYJ. How will DHLP be written in that code?

Ques 10 Gate 2018

A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?

Ques 11 Gate 2018

P, Q, R and S crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available.
(i) The boat held two persons on each of the three forward trips across the lake and one person on each of the two return trips.
(ii) P is unable to row when someone else is in the boat.
(iii) Q is unable to row with anyone else except R.
(iv) Each person rowed for at least one trip.
(v) Only one person can row during a trip.

Who rowed twice?

Ques 12 GATE 2018

Match the transfer functions of the second-order systems with the nature of the systems given below.

Ques 13 GATE 2018

Consider a unity feedback system with forward transfer function given by