Electronics & Communication Gate Yearwise
Electronics and Communication Gate 2025 Questions with Answer
Ques 40 GATE 2025
An ideal p-n junction germanium diode has a reverse saturation current of 10 μA at 300 K.
The voltage (in Volts, rounded off to two decimal places) to be applied across the junction to get a forward bias current of 100 mA at 300 K is
(Consider the Boltzmann constant kB=1.38×10-23 J/K and the charge of an electron e=1.6×10-19 C.)
Ques 41 GATE 2025
Consider the matrix A below:
Ques 42 GATE 2025
Consider the following series:
(i) Σn=1∞ 1/√n
(ii) Σn=1∞ 1/(n(n+1))
(iii) Σn=1∞ 1/n!
Choose the correct option.
Ques 43 GATE 2025
A pot contains two red balls and two blue balls. Two balls are drawn from this pot randomly without replacement.
What is the probability that the two balls drawn have different colours?
Ques 44 GATE 2025
Consider the function f:R→R defined as f(x)=2x3-3x2-12x+1.
Which of the following statements is/are correct? (Here, R is the set of real numbers.)
Ques 45 GATE 2025
The function y(t) satisfies t2y'(t)-2ty'(t)+2y(t)=0, where y'(t) and y'(t) denote the first and second derivatives of y(t), respectively.
Given y'(0)=1 and y'(1)=-1, the maximum value of y(t) over [0,1] is ______ (rounded off to two decimal places).
Ques 46 GATE 2025
Consider a non-negative function f(x) which is continuous and bounded over the interval [2, 8]. Let M and m denote, respectively, the maximum and the minimum values of f(x) over the interval.
Among the combinations of α and β given below, choose the one(s) for which the inequality β ≤ ∫28 f(x)dx ≤ α is guaranteed to hold.
Ques 47 GATE 2025
Which of the following statements involving contour integrals (evaluated counter-clockwise) on the unit circle C in the complex plane is/are TRUE?
Ques 48 GATE 2025
Two fair dice (with faces labeled 1, 2, 3, 4, 5, and 6) are rolled.
Let the random variable X denote the sum of the outcomes obtained.
The expectation of X is ______ (rounded off to two decimal places).
Ques 49 GATE 2025
Consider the vectors
||⋅||2 denotes the Euclidean norm, i.e., for y=[(y1); (y2)], ||y||2=√(y12+y22).
Ques 50 GATE 2025
Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.
Group-I: Abuse → Insult → Ridicule
Group-II: ______ → Praise → Appreciate
Select the most appropriate option to complete the above sentence.
Ques 51 GATE 2025
Had I learnt acting as a child, I ______ a famous film star.
Select the most appropriate option to complete the above sentence.
Ques 52 GATE 2025
The 12 musical notes are given as C, C#, D, D#, E, F, F#, G, G#, A, A#, and B.
Frequency of each note is ¹√2 times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes F# and C is:
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