How many questions were in GATE EE 2023?

GATE EE 2023 had 65 questions in total - 10 from General Aptitude, 10 from Engineering Mathematics, and 45 from core electrical engineering subjects including Power Systems, Control Systems, Electrical Machines, Power Electronics, and Analog & Digital Electronics.

What was the exam pattern for GATE Electrical Engineering 2023?

GATE EE 2023 followed a pattern with Multiple Choice Questions (MCQs) and Numerical Answer Type (NAT) questions. The exam was of 3 hours duration with a total of 100 marks. General Aptitude carried 15 marks, Engineering Mathematics 13 marks, and the remaining 72 marks were from core electrical engineering subjects.

Where can I download GATE EE 2023 question paper ?

You can download the GATE Electrical Engineering 2023 question paper with solutions from this page. The includes all questions with detailed step-by-step solutions and explanations.

Electrical Engineering Gate 2023 Questions with Answer

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Ques 14 GATE 2023

For a given vector w=[1 2 3]^T, the vector normal to the plane defined by w^TX=1 is _______.

[-2 -2 2]^T

[3 0 -1]^T

[3 2 1]^T

[1 2 3]^T

(d) is the correct answer.

Ques 15 GATE 2023

In the figure, the vectors u and v are related as: Au=v by a transformation matrix A. The correct choice of A is _______.

(d) is the correct answer.

Ques 16 GATE 2023

One million random numbers are generated from a statistically stationary process with a Gaussian distribution with mean zero and standard deviation σ_o.
The σ_o is estimated by randomly drawing out 10,000 numbers of samples (x_n). The estimates σ̂₁, σ̂₂ are computed in the following two ways.

Which of the following statements is true?

E(σ̂₂²)=σ_o²

E(σ̂₂)=σ_o

E(σ̂₁²)=σ_o²

E(σ̂₁)=E(σ̂₂)

(a) is the correct answer.

Ques 17 GATE 2023

In the following differential equation, the numerically obtained value of y(t), at t=1, is _______. (Round off to 2 decimal places).

(0.25) is the correct answer.

Ques 18 GATE 2023

Three points in the x-y plane are (-1, 0.8), (0, 2.2) and (1, 2.8). The value of the slope of the best fit straight line in the least square sense is _______. (Round off to 2 decimal places).

(1.00) is the correct answer.

Ques 19 GATE 2023

Consider the following equation in a 2-D real-space.
|x₁|^p+|x₂|^p=1 for p>0
Which of the following statement(s) is/are true?

When p=2, the area enclosed by the curve is π.

When p tends to ∞, the area enclosed by the curve tends to 4.

When p tends to 0, the area enclosed by the curve is 1.

When p=1, the area enclosed by the curve is 2.

(a) is the correct answer.

Ques 20 GATE 2023

The expected number of trials for the first occurrence of a "head" in a biased coin is known to be 4. The probability of the first occurrence of a "head" in the second trial is _______. (Round off to 3 decimal places).

(0.188) is the correct answer.

Ques 21 GATE 2023

The closed curve shown in the figure is described by r=1+cos θ, where r=√(x²+y²); x=r cos θ, y=r sin θ.
The magnitude of the line integral of the vector field F=-yî+xĵ around the closed curve is _______. (Round off to 2 decimal places). *

(6.28) is the correct answer.

Ques 22 GATE 2023

A quadratic function of two variables is given as
f(x₁,x₂)=x₁²+2x₂²+3x₁+3x₂+x₁x₂+1.
The magnitude of the maximum rate of change of the function at the point (1,1) is _______. (Round off to the nearest integer).

(8) is the correct answer.

Ques 23 GATE 2023

Rafi told Mary, "I am thinking of watching a film this weekend."
The following reports the above statement in indirect speech:
Rafi told Mary that he _______ of watching a film that weekend.

thought

is thinking

am thinking

was thinking

(d) is the correct answer.

Ques 24 GATE 2023

Permit: _______:: Enforce: Relax
(By word meaning)

Allow

Forbid

License

Reinforce

(a) allow) is the correct answer.

Ques 25 GATE 2023

Given a fair six-faced dice where the faces are labelled '1', '2', '3', '4', '5', and '6', what is the probability of getting a '1' on the first roll of the dice and a '4' on the second roll?

1/36

1/6

5/6

1/3

(a) 1/36) is the correct answer.

Ques 26 GATE 2023

A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco.
The survey also shows that 3 out of 10 tobacco users attempted to stop using tobacco. Based only on the information in the above passage, which one of the following options can be logically inferred with certainty?

A majority of tobacco users who were advised to stop consuming tobacco made an attempt to do so.

A majority of tobacco users who were advised to stop consuming tobacco did not attempt to do so.

Approximately 30% of tobacco users successfully stopped consuming tobacco.

Approximately 65% of tobacco users successfully stopped consuming tobacco.

(b) is the correct answer.

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