Electrical Engineering GATE 2025 Questions with Answer

Ques 40 General Aptitude


Good: Evil :: Genuine : ______
Select the most appropriate option to complete the analogy.

A

Counterfeit

B

Contraband

C

Counterfoil

D

Counterpart


Ques 41 General Aptitude


The relationship between two variables x and y is given by x+py+q=0 and is shown in the figure. Find the values of p and q.
Note: The figure shown is representative

A

p=-1/2; q=2

B

p=2; q=-2

C

p=1/2;q=4

D

p=2; q=4


Ques 42 General Aptitude


Each row of Column-I has three items and each item is represented by a circle in Column-II. The arrangement of circles in Column-II represents the relationship among the items in Column-I.
Identify the option that has the most appropriate match between Column-I and Column-II.
Note: The figures shown are representative.

A

(1)-(Q);(2)-(P);(3)-(S);(4)-(R)

B

(1)-(Q); (2)-(R); (3) (S); (4) (P)

C

(1)-(S);(2)-(P);(3)-(R);(4)-(Q)

D

(1)-(R);(2)-(S);(3)-(Q);(4)-(P)


Ques 43 General Aptitude


What is the value of (381/274)1/3 ?

A

313

B

396

C

323

D

369


Ques 44 General Aptitude


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.

A

S→P→R→Q

B

R→P→S→Q

C

Q→S→R→P

D

P→Q→S→R


Ques 45 General Aptitude


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) ?

A

(i) EH; (ii) 40

B

(i) JK; (ii) 36

C

(i) EG; (ii) 42

D

(i) PS; (ii) 14


Ques 46 General Aptitude


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?

A

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

B

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

C

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

D

Median score and the average score of Q are same.


Ques 47 General Aptitude


Spheres of unit diameter are centered at (l,m,n) where l, m, and n 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, x is the distance to its nearest sphere and y is the distance to its next nearest sphere. The value of y/x is:

A

2√2

B

1/√2

C

√2

D

2


Ques 48 General Aptitude


In the triangle PQR, the lengths of PT and TR are in the ratio of 3:2. ST is parallel 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 PQS?
Note: The figure shown is representative.

A

The shaded area is 16/9 times the area of the semicircle with the diameter PS.

B

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

C

The shaded area is 14/9 times the area of the semicircle with the diameter PS.

D

The shaded area is 14/25 times the area of the semicircle with the diameter PQ.


Ques 49 Power Electronics


The 3-phase modulating waveforms (va(t),vb(t) and vc(t)), used in sinusoidal PWM in a Voltage Source Inverter (VSI) are
va(t)=0.8 sin(ωt)V
vb(t)=0.8 sin(ωt-2π/3)V
vc(t)=0.8 sin(ωt+2π/3)V
where ω=2π×40 rad/s is the fundamental frequency. The modulating waveforms are compared with a 10 kHz triangular carrier whose magnitude varies between +1 and -1. The VSI has a DC link voltage of 600 V and feeds a star connected motor. The per phase fundamental RMS motor voltage, in volts, is closest to

A

169.71

B

300.00

C

424.26

D

212.13


Ques 50 Power Electronics


An ideal sinusoidal voltage source v(t)=230√2 sin(2π×50t) V feeds an ideal inductor L through an ideal SCR with firing angle α=0°. If L=100 mH, then the peak of the inductor current, in ampere, is closest to

A

20.71

B

0

C

10.35

D

7.32


Ques 51 Power Electronics


In the following circuit, the average voltage Vo=400(1+cos α/3)v, where α is the firing angle. If the power dissipated in the resistor is 64 W, then the closest value of α in degrees is

A

35.9

B

46.4

C

41.4

D

0


Ques 52 Power Electronics


The steady state capacitor current of a conventional DC-DC buck converter, working in CCM, is shown in one switching cycle. If the input voltage is 30 V, the value of the inductor used, in mH, is ______ (round off to one decimal place).


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