Electrical Engineering GATE 2024 Questions with Answer

Ques 27 General Aptitude

P and Q have been allotted a hostel room with two beds, a study table, and an almirah. P is an avid bird-watcher and wants to sit at the table and watch birds outside the window. Q does not mind that as long as his bed is close to the ceiling fan. Which one of the following arrangements suits them the most? *[Insert Figure Here]*

A

B

C

D

Ques 28 General Aptitude

The decimal number system uses the characters 0,1,2,...,8,9 and the octal number system uses the characters 0,1,2,...,6,7. For example, the decimal number 12
(=1×10¹+2×10⁰) is expressed as 14 (=1×8¹+4×8⁰) in the octal number system.
The decimal number 108 in the octal number system is _______.

Ques 29 General Aptitude

A shopkeeper buys shirts from the producer at Rs. 2,500.00 per shirt and sells them at 20% profit. A customer has to pay Rs. 3,186.00 including 18% taxes, per shirt. At what price did the shopkeeper buy each shirt from the producer?

Ques 30 General Aptitude

If, for non-zero real variables x, y, and real parameter a>1, x:y=(a+1):(a-1),
then the ratio (x²-y²):(x²+y²) is _______.

Ques 31 General Aptitude

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Following a row
(i) the shopkeeper
(ii) the price of a frying pan, the cook stood
(iii) a row
(iv) withdraw cash from the ATM booth.'

Ques 32 General Aptitude

In the following figure, CD=5 cm, BE=10 cm, AE=12 cm, ∠DAB=∠DCB and ∠DAE=∠DBC=90°. Points AFCD create a rhombus.

Ques 33 General Aptitude

The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinions can only rotate clockwise or anti-clockwise staying at its own center. Racks can translate towards the left (←) or the right (→) direction. If the object A (Rack) is translating towards the right (→) direction, the correct statement among the following is _______.

Ques 34 General Aptitude

A surveyor has to measure the horizontal distance from her position to a distant reference point C. Using her position as the center, a 200 m horizontal line segment is drawn with the two endpoints A and B. Points A, B, and C are not collinear. Each of the angles ∠CAB and ∠CBA are measured as 87.8°. The distance (in m) of the reference point C from her position is nearest to _______.

Ques 35 Machines

A three-phase, 50 Hz, 6 pole induction motor runs at 960 rpm. The stator copper loss, core loss, and the rotational loss of the motor can be neglected. The percentage efficiency of the motor is _______.

Ques 36 Machines

Which one of the following options represents possible voltage polarities in a single-phase two winding transformer? Here, V_p is the applied primary voltage, E_p is the induced primary voltage, V_s is the open circuit secondary voltage, and E_s is the induced secondary voltage.

A

B

C

D

Ques 37 Machines

A 3-phase, 11 kV, 10 MVA synchronous generator is connected to an inductive load of power factor (√3/2) via a lossless line with a per-phase inductive reactance of 5Ω. The per-phase synchronous reactance of the generator is 30Ω with negligible armature resistance. If the generator is producing the rated current at the rated voltage, then the power factor at the terminal of the generator is _______.

Ques 38 Machines

A 3-phase star connected slip ring induction motor has the following parameters referred to the stator:
R_s=3 Ω, X_s=2 Ω, X_r'=2 Ω, R_r'=2.5 Ω.
The per phase stator to rotor effective turns ratio is 3:1. The rotor winding is also star connected. The magnetizing reactance and core loss of the motor can be neglected. To have maximum torque at starting, the value of the extra resistance in ohms (referred to the rotor side) to be connected in series with each phase of the rotor winding is _______. (rounded off to 2 decimal places)

Ques 39 Machines

A 5 kW, 220 V DC shunt motor has 0.5 Ω armature resistance including brushes. The motor draws a no-load current of 3 A. The field current is constant at 1 A. Assuming that the core and rotational losses are constant and independent of the load, the current (in amperes) drawn by the motor while delivering the rated load, for the best possible efficiency, is _______. (rounded off to 2 decimal places)