Electrical Engineering GATE 2023 Questions with Answer

Ques 27 General Aptitude


How many triangles are present in the given figure?

A

12

B

16

C

20

D

24



Ques 28 General Aptitude


Students of all the departments of a college who have successfully completed the registration process are eligible to vote in the upcoming college elections. However, by the time the due date for registration was over, it was found that surprisingly none of the students from the Department of Human Sciences had completed the registration process.
Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty?
(i) All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences.
(ii) None of the students from departments other than Human Sciences failed to complete the registration process within the due time.
(iii) All the eligible voters would certainly be students who are not from the Department of Human Sciences.

A

(i) and (ii)

B

(i) and (iii)

C

only (i)

D

only (iii)



Ques 29 General Aptitude


Which one of the following options represents the given graph?

A

f(x)=x22-|x|

B

f(x)=x2-|x|

C

f(x)=|x|2-x

D

f(x)=x2-x



Ques 30 General Aptitude


Which one of the options does NOT describe the passage below or follow from it?
'We tend to think of cancer as a 'modern' illness because its metaphors are so modern. It is a disease of overproduction, of sudden growth, a growth that is unstoppable, tipped into the abyss of no control. Modern cell biology encourages us to imagine the cell as a molecular machine. Cancer is that machine unable to quench its initial command (to grow) and thus transform into an indestructible, self-propelled automaton.' [Adapted from The Emperor of All Maladies by Siddhartha Mukherjee]

A

It is a reflection of why cancer seems so modern to most of us.

B

It tells us that modern cell biology uses and promotes metaphors of machinery.

C

Modern cell biology encourages metaphors of machinery, and cancer is often imagined as a machine.

D

Modern cell biology never uses figurative language, such as metaphors, to describe or explain anything.



Ques 31 General Aptitude


The digit in the unit's place of the product 3999×71000 is _______.

A

7

B

1

C

3

D

9



Ques 32 General Aptitude


A square with sides of length 6 cm is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as shown. The area of the shaded region is _______ cm2.

A

B

18

C

20

D



Ques 33 Machines


The following columns present various modes of induction machine operation and the ranges of slip:

The correct matching between the elements in column A with those of column B is _______.

A

a-r, b-p, and c-q

B

a-r, b-q, and c-p

C

a-p, b-r, and c-q

D

a-q, b-p, and c-r



Ques 34 Machines


A 10-pole, 50 Hz, 240 V, single phase induction motor runs at 540 RPM while driving rated load. The frequency of induced rotor currents due to backward field is _______.

A

100 Hz

B

95 Hz

C

10 Hz

D

5 Hz



Ques 35 Machines


The four stator conductors (A, A', B and B') of a rotating machine are carrying DC currents of the same value, the directions of which are shown in the figure (i). The rotor coils a-a' and b-b' are formed by connecting the back ends of conductors 'a' and 'a'' and 'b' and 'b'', respectively, as shown in figure (ii). The e.m.f. induced in coil a-a' and coil b-b' are denoted by Ea-a' and Eb-b', respectively. If the rotor is rotated at uniform angular speed ω rad/s in the clockwise direction then which of the following correctly describes the Ea-a' and Eb-b'?

A

Ea-a' and Eb-b' have finite magnitudes and are in the same phase.

B

Ea-a' and Eb-b' have finite magnitudes with Eb-b' leading Ea-a'.

C

Ea-a' and Eb-b' have finite magnitudes with Ea-a' leading Eb-b'.

D

Ea-a'=Eb-b'=0



Ques 36 Machines


A separately excited DC motor rated 400 V, 15 A, 1500 RPM drives a constant torque load at rated speed operating from 400 V DC supply drawing rated current. The armature resistance is 1.2 Ω. If the supply voltage drops by 10% with field current unaltered then the resultant speed of the motor in RPM is _______. (Round off to the nearest integer).


1350 is the correct answer.


Ques 37 Machines


A three-phase synchronous motor with synchronous impedance of 0.1+j0.3 per unit per phase has a static stability limit of 2.5 per unit. The corresponding excitation voltage in per unit is _______. (Round off to 2 decimal places).


2.55 is the correct answer.


Ques 38 Machines


A three-phase 415 V, 50 Hz, 6-pole, 960 RPM, 4 HP squirrel cage induction motor drives a constant torque load at rated speed operating from rated supply and delivering rated output. If the supply voltage and frequency are reduced by 20%, the resultant speed of the motor in RPM (neglecting the stator leakage impedance and rotational losses) is _______. (Round off to the nearest integer).


770 is the correct answer.


Ques 39 Machines


When the winding c-d of the single-phase, 50 Hz, two-winding transformer is supplied from an AC current source of frequency 50 Hz, the rated voltage of 200 V (rms), 50 Hz is obtained at the open-circuited terminals a-b. The cross-sectional area of the core is 5000 mm2 and the average core length traversed by the mutual flux is 500 mm. The maximum allowable flux density in the core is Bmax=1 Wb/m2 and the relative permeability of the core material is 5000. The leakage impedance of the winding a-b and winding c-d at 50 Hz are (5+j100π×0.16) Ω and (11.25+j100π×0.36) Ω, respectively. Considering the magnetizing characteristics to be linear and neglecting core loss, the self-inductance of the winding a-b in millihenry is _______. (Round off to 1 decimal place).


500.0 is the correct answer.


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