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Q. For integers 𝑎, 𝑏 and 𝑐, what would be the minimum and maximum values respectively of 𝑎 + 𝑏 + 𝑐 if log |𝑎| + log |𝑏| + log |𝑐| = 0? (A) -3 and 3(B) -1 and 1(C) -1 and 3(D) 1 and 3 Ans: -3 and 3

Q. A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number? (A) 63(B) 72(C) 81(D) 90 Ans: 72 Sol: Let the two-digit number is AB The sum of digits = A + B = 9 If 45 is subtracted from the number, ...

Q. A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m2 of area. What is the area of the original rectangle in square meters? (A) 1125(B) 2250(C) 2924(D) 4500 Ans: 2250

Q. Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys? (A) 1(B) 7(C) 100(D) 700 Ans: 7 Sol: Seven machines take 7 minutes to make 7 identical toys. As all the machines are working parallelly, one ...

Q. “Her _______should not be confused with miserliness; she is ever willing to assist those in need.” The word that best fills the blank in the above sentence is (A) cleanliness(B) punctuality(C) frugality(D) greatness Ans: frugality

Q. “Going by the ___________that many hands make light work, the school_____involved all the students in the task.” The words that best fill the blanks in the above sentence are (A) principle, principal(B) principal, principle(C) principle, principle(D) principal, principal Ans: ...

Q. The voltage 𝑣(𝑡) across the terminals a and b as shown in the figure, is a sinusoidal voltage having a frequency 𝜔 = 100 radian/s. When the inductor current 𝑖(𝑡) is in phase with the voltage 𝑣(𝑡), the magnitude of the impedance Z (in Ω) seen between the terminals a and b is (up to 2 decimal ...

Q. A dc to dc converter shown in the figure is charging a battery bank, B2 whose voltage is constant at 150 V. B1 is another battery bank whose voltage is constant at 50 V. The value of the inductor, L is 5 mH and the ideal switch, S is operated with a switching frequency of 5 kHz with a duty ...

Q. A 200 V DC series motor, when operating from rated voltage while driving a certain load, draws 10 A current and runs at 1000 r.p.m. The total series resistance is 1 Ω. The magnetic circuit is assumed to be linear. At the same supply voltage, the load torque is increased by 44%. The speed of the ...

Q. The figure shows two buck converters connected in parallel. The common input dc voltage for the converters has a value of 100 V. The converters have inductors of identical value. The load resistance is 1 W. The capacitor voltage has negligible ripple. Both converters operate in the continuous ...