GATE EE branch:ee PYQs & Answers — Page 8

Questions 71–80 of 715. Imported answers require independent review unless marked reviewed.

Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:

P. It is because deer, like most of the animals that tigers normally prey on, run much faster! It simply means, another day of empty stomach for the big cats. Q. Tigers spend most of their life searching for food. R. If they trace the scent of deer, tigers follow the trail, chase the deer for a mile or two in the dark, and yet may not catch them. S. For several nights, they relentlessly prowl through the forest, hunting for a trail that may lead to their prey.

Your answerChoose one option.

S → P → R → Q

R → P → S → Q

Q → S → R → P

P → Q → S → R

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In the given figure, EF and HJ are coded as 30 and 80, respectively. Which one among the given options is most appropriate for the entries marked (i) and (ii)?

Diagram for Electrical Engineering question 7

Your answerChoose one option.

(i) EH; (ii) 40

(i) JK; (ii) 36

(i) EG; (ii) 42

(i) PS; (ii) 14

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Scores obtained by two students P and Q in seven courses are given in the table below. Based on the information given in the table, which one of the following statements is INCORRECT?

Student	Course 1	Course 2	Course 3	Course 4	Course 5	Course 6	Course 7
P	22	89	50	45	78	60	39
Q	35	65	60	56	81	45	50

Your answerChoose one option.

Average score of P is less than the average score of Q.

Median score of P is same as the median score of Q.

Difference between the maximum and minimum scores of P is greater than the difference between the maximum and minimum scores of Q.

Median score and the average score of Q are same.

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Spheres of unit diameter are centered at

where

, and

take every possible integer values.

The distance between two spheres is computed from the center of one sphere to the center of the other sphere. For a given sphere,

is the distance to its nearest sphere and

is the distance to its next nearest sphere. The value of

is:

Your answerChoose one option.

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In the triangle PQR, the lengths of PT and TR are in the ratio of 3:2.

ST is paralel to QR. Two semicircles are drawn with PS and PQ as diameters, as shown in the figure.

Which one of the following statements is true about the shaded area PS?

Note: The figure shown is representive.

Diagram for Electrical Engineering question 10

Your answerChoose one option.

The shaded area is

times the area of the semicircle with the diameter PS.

The shaded area is equal to the area of the semicircle with the diameter PS.

The shaded area is

times the area of the semicircle with the diameter PS.

The shaded area is

times the area of the semicircle with the diameter PQ.

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Consider the set

of points

which minimize the real valued function

. Which of the following statements is true about the set

Your answerChoose one option.

The number of elements in the set

is finite and more than one.

The number of elements in the set

is infinite.

The set

is empty.

The number of elements in the set

is exactly one.

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Let

and

be the two eigenvectors corresponding to distinct eigenvalues of a

real symmetric matrix. Which one of the following statements is true?

Your answerChoose one option.

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Let

, and

. Then, the system of linear equations

has

Your answerChoose one option.

a unique solution.

infinitely many solutions.

a finite number of solutions.

no solution.

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Let

and let

be the identity matrix. Then

is equal to

Your answerChoose one option.

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Consider discrete random variables

and

with probabilities as follows:

Given

, the expected value of

Your answerChoose one option.

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GATE EE branch:ee PYQs

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15