GATE

Q. A three-phase synchronous motor draws 200 A from the line at unity power factor at rated load. Considering the same line voltage and load, the line current at a power factor of 0.5 leading is (A) 100 A (B) 200 A (C) 300 A (D) 400 A Ans: 400 A

Q. The parameter of an equivalent circuit of a three-phase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is (A) rotor resistance (B) rotor leakage reactance (C) magnetizing reactance (D) stator resistance Ans: magnetizing reactance Solution: Magnetic reactance (Xm) is depends on airgap flux and the flux

Q. A six-pulse thyristor bridge rectifier is connected to a balanced three-phase, 50 Hz AC source. Assuming that the DC output current of the rectifier is constant, the lowest harmonic component in the AC input current is (A) 100 Hz (B) 150 Hz (C) 250 Hz (D) 300 Hz Ans: 250 Hz Solution: In a

Q. A 5 kVA, 50 V/100 V, single-phase transformer has a secondary terminal voltage of 95 V when loaded. The regulation of the transformer is (A) 4.5% (B) 9% (C) 5% (D) 1% Ans: 5% Solution: Voltage regulation is the change in secondary terminal voltage from no load to full load at a specific power

Q. The symbols, 𝑎 and 𝑇, represent positive quantities, and 𝑢(𝑡) is the unit step function. Which one of the following impulse responses is NOT the output of a causal linear time-invariant system? (A) 𝑒+𝑎𝑡𝑢(𝑡) (B) 𝑒−𝑎(𝑡+𝑇)𝑢(𝑡) (C) 1 + 𝑒−𝑎𝑡𝑢(𝑡) (D) 𝑒−𝑎(𝑡−𝑇)𝑢(𝑡) Ans: 1 + 𝑒−𝑎𝑡𝑢(𝑡) Solution: a and T represents positive quantities.u(t) is

Q. Consider five people – Mita, Ganga, Rekha, Lakshmi and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true? (A) 1 and 3 (B) 3 only (C) 2 and 4 (D) 1 only Ans: 2 and 4 Solution:

Q. Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y. The product of elements having minimum and maximum values in the set Z is . (A) 1/12

Q. An award-winning study by a group of researchers suggests that men are as prone to buying on impulse as women but women feel more guilty about shopping. Which one of the following statements can be inferred from the given text? (A) Some men and women indulge in buying on impulse (B) All men and

Q. The ratio of the number of boys and girls who participated in an examination is 4:3. The total percentage of candidates who passed the examination is 80 and the percentage of girls who passed is 90. The percentage of boys who passed is                                                                    . (A) 55.50 (B) 72.50 (C) 80.50 (D) 90.00 Ans: 72.50

Q. How many integers are there between 100 and 1000 all of whose digits are even? (A) 60 (B) 80 (C) 100 (D) 90 Ans: 100 We need the numbers between 100 and 1000 and all the digits should be even. As the required numbers are greater than 100 and less than 1000, all the