GATE Mock Test: Electrical Engineering (EE)- 6 (30-01-23) - Electrical Engineering (EE) MCQ

The following sentence has been divided into four parts indicated by a number. One of the parts contains a usage or grammar error. Mark that number indicating that part of the sentence as your answer.

Those who want to develop (A)/the rainforests have played (B)/down the impact of (C)/ his human inhabitants.(D)

Given the sequence of terms, AD CG FK JP, the next term would be

The expression x² + 2bx + 3b² leaves a remainder 3 when divided by (x + b). The value of b is

A dishonest milkman mixes 20 litres of water with 80 litres of milk. After selling one-fourth of this mixture, he adds water to replenish the quantity that he had sold. What is the current proportion of water to milk?

Because of a leak, a tank which usually is filled in 3 hr, now takes 3.5 hr to be filled. The leak alone will empty the filled tank in

Directions: In this question, the second figure of the problem figures bears a certain relationship to the first figure. Similarly, one of the figures in the answer figures bears the same relationship to the third problem figure. You have to select the figure from the set of answer figures which would replace the sign of question mark (?).

A speaks the truth in 70% cases and B in 80% cases. The probability that they will

contradict each other in describing a single event is

From Set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. The probability that the sum of the two numbers equals 16 is ___. (Answer up to one decimal place)

The rectification efficiency of a single phase Half Wave Controlled Rectifier having a resistive load and the delay angle of π/2 is _______%. (correct upto two decimal places

The value of integral is . Find the value of x. (Answer up to the nearest integer)

A single-phase transformer is rated 220/440 V,5 kVA, leakage reactance measured from the low-tension side is 0.05Ω . The per unit leakage reactance will be _______.

(Give up to four decimal places).

The probabilities of A, B and C solving a problem are 1/3, 2/7 and 3/8, respectively. If all three try to solve the problem simultaneously, then the probability that exactly one of them will solve it is x/56. Find the value of x. (Answer up to the nearest integer)

A 230 V,50 Hz,4-pole,single-phase induction motor is rotating (running) clockwise (forward) direction at a speed of 1425 rpm. If the rotor resistance at standstill is7.8Ω then the effective rotor resistance in the backward branch of the equivalent circuit will be.

Let X₁ and X₂ be two independent exponentially distributed random variables with means 0.5 and 0.25, respectively. Then Y = min (X₁, X₂) is exponentially distributed with mean x/6 . Find the value of x. (Answer up to the nearest integer)

A 420 V, 6 pole, 50 Hz star connected induction rotor has stator impedance of 0.07 + j 0.3 ohms and stand still impedance referred to stator is 0.08 + j 0.37 ohms. If the magnetizing current is neglected, the slip at maximum internal torque developed is

Synchronous reactance is

The value of contour integral in the complex plane , along the contour , taken counter clockwise is

A radial transmission system with the ratings and reactances of the various components is shown in the following figure. A load of 60 MW at 0.9 power factor lagging is fed from the 66 kV substation which is to be maintained at 60 kV. The terminal voltage (line) of the synchronous machine (M) is __________kV. (Answer up to the nearest integer)

Consider the circuit shown below, the ratio of is

The closed loop transfer function of a system is

The number of poles in LHP, RHP, and on axis are

Consider the open loop transfer function of a closed loop negative feedback system given by

The value of K at the respective break points are

A student has made a 3-bit binary down counter and connected to the R-2R ladder type DAC [Gain = ] as shown in the figure to generate a staircase waveform. The output achieved is different as shown in the figure.

What could be the possible cause of this error?

(d)The R and 2R resistances are interchanged.

A digit counter timer is set in the frequency mode of operation with gating time of 2 sec. For a specific input, reading obtained is 10000. The counter-timer is changed to operate in period mode with 2μsec scale without disconnecting the input.

Which of the following statement(s) is/are correct?

Thermal runaway in a transistor biased in the active region is due to

1. Heating of the transistor

2. Change in β due to increase in temperature

3. Change in reverse collector saturation current due to rise in temperature

4. Base emitter voltage V_BE which decreases with rise in temperature

Which of the above statements is/are correct?

The time period (in sec) of the signal x(n) = (j+1)^n/2 (in integer) is________.

Four memory chips of 16 ✖ 4 size have their address buses connected together. This system will be of size

A 230 V, 50 Hz one pulse SCR converter is triggered at a firing angle of 40⁰and the load current extinguishes at an angle of 210⁰. If R =5Ω, L = 2mH and E = 110V, Then which of the following statement(s) is/are correct.