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http://tinyurl.com/mjt9tgq [1] A battery consists of (a) A cell (b) A circuit (c) A generator (d) A number of cells [2] The terminal potential difference of a cell of e.m.f. 2V and internal resistance 0.1Ω when supplying a current of 5A will be (a) 1.5V (b) 2V (c) 1.9 V (d) 2.5V [3] Five cells, each with an e.m.f. of 2V and internal resistance of 0.5Ω are connected in series. The resulting battery will have (a) An e.m.f. of 2V and an internal resistance of 0.5 Ω (b) An e.m.f. of 10V and an internal resistance of 2.5 Ω (c) An e.m.f. of 2V and an internal resistance of 0.1 Ω (d) An e.m.f. of 10V and an internal resistance of 0.1 Ω [4] If the five cells of question 3 are connected in parallel the resulting battery will have (a) An e.m.f. of 10V and an internal resistance of 2.5 Ω (b) An e.m.f. of 2V and an internal resistance of 0.5 Ω (c) An e.m.f. of 2V and an internal resistance of 0.1 Ω (d) An e.m.f. of 10V and an internal resistance of 0.1 Ω [5] Which of the following statements is false? (a) A Leclanché cell is suitable for use in torches (b) A nickel–cadmium cell is an example of a primary cell (c) A secondary cell may be recharged after use (d) When a cell is being charged its terminal p.d. exceeds the cell e.m.f. [6] Which of the following statements is false? When two metal electrodes are used in a simple cell, the one that is higher in the electrochemical series: (a) Tends to dissolve in the electrolyte (b) Is always the negative electrode (c) Reacts most readily with oxygen (d) Acts an an anode [7] Five 2V cells, each having an internal resistance of 0.2Ω are connected in series to a load of resistance 14 Ω. The current flowing in the circuit is (a) 10A (b) 1.4A (c) 1.5A (d) 2/3A [8] For the circuit of question 7, the p.d. at the battery terminals is (a) 10V (b) 9(1/3)V (c) 0V (d) 10(2/3)V [9] Which of the following statements is true? (a) The capacity of a cell is measured in volts (b) A primary cell converts electrical energy into chemical energy (c) Galvanising iron helps to prevent corrosion (d) Apositive electrode is termed the cathode [10] The greater the internal resistance of a cell (a) The greater the terminal potential difference. (b) The less the e.m.f. (c) The greater the e.m.f. (d) The less the terminal potential difference. [11] The negative pole of a dry cell is made of (a) Carbon (b) Copper (c) Zinc (d) Mercury [12] The energy of a secondary cell is usually renewed (a) By passing a current through it (b) It cannot be renewed at all (c) By renewing its chemicals (d) By heating it [13] Which of the following statements is true? (a) A zinc carbon battery is rechargeable and is not classified as hazardous (b) A nickel cadmium battery is not rechargeable and is classified as hazardous (c) A lithium battery is used in watches and is not rechargeable (d) An alkaline manganese battery is used in torches and is classified as hazardous [14] A rectifier type instrument is connected to 100VDC and is operated in the DC measuring module reads (a) 111V (b) 90V (c) 50V (d) 100V [15] A permanent magnet moving coil ammeter has a coil resistance of 99ohm and Full Scale Deflection(FSD) current of 0.1mA. Shunt resistance is 1 ohm. Current through the meter at 0.5 F.S.D is (a) 0.007mA (b) 0.05mA (c) 0.023mA (d) 0.1mA [16] One single phase wattmeter operating on 230V and 5A for 5 hours makes 1940 revolutions. Meter constant in revolutions is 400. What is the power factor of the land? (a) 1 (b) 0.84 (c) 0.73 (d) 0.65 [17] For power measurement of three phase circuit by two wattmeter method, when the value of power factor is less than 0.5 lagging (a) one of the wattmeters will read zero (b) both give the same readings (c) one of the wattmeter connections will have to be reversed (d) pressure coil of the wattmeter will become ineffective. [18] When using ohmmeter, applied voltage is to be disconnected from the circuit because (a) Voltage source will increase resistance (b) Current will decrease resistance (c) the ohmmeter has its own internal battery (d) non of the above [19] Which wave has the least form factor? (a) Square wave (b) Rectangular wave (c) Sine wave (d) Triangular wave [20] With a sweep time 10ms across the screen the approx. horizontal sawtooth frequency will be (a) 50Hz (b) 100Hz (c) 1kHz (d) 500Hz [21] A spring controlled indicating instrument has a deflection of 90deg for maximum current I. The corresponding deflection for a gravity controlled instrument is (a) 90° (b) 120° (c) 30° (d) 0° [22] It is found that 10A current passes through a resistor of 10ohms. The resistor has 5% tolerance . The error in measurement of current can be as high as 5%. What is max error in measurement of power, calculated from measured value of I and the nominal value of resistor? (a) 100 W (b) 150W (c)50W (d) 200W [23] A resistor of 10Kohms with 5% tolerance is connected in parallel with a 5Kohms resistor of 10% tolerance. What is the tolerance limit for the parallel network? (a) 5% (b) 6.67% (c) 10% (d) 8.33% [24] The resistance offered to the passage of an in-varying current by a column of mercury at the temperature of melting ice of mass 14.4521 gms of uniform crosssectional area and length 106.3cm is (a) Standard ohm (b) One international ohm (c) One ohm according to SI units (d) One ohm according to working standards [25] A network designed to pass signals with all frequencies except those between two specified cut-off frequencies is called a (a) low-pass filter (b) high-pass filter (c) band-pass filter (d) band-stop filter [26] A low-pass T-connected symmetrical filter section has an inductance of 200mH in each of its series arms and a capacitance of 0.5 μF in its shunt arm. The cut-off frequency of the filter is (a) 1007 Hz (b) 251.6 Hz (c) 711.8 Hz (d) 177.9 Hz [27] A low-pass π-connected symmetrical filter section has an inductance of 200mH in its series arm and capacitances of 400 pF in each of its shunt arms. The cut-off frequency of the filter is (a) 25.16 kHz (b) 6.29 kHz (c) 17.79 kHz (d) 35.59 kHz [28] A high-pass T-connected symmetrical filter section has capacitances of 400 nF in each of its series arms and an inductance of 200mH in its shunt arm. The cutoff frequency of the filter is (a) 1592 Hz (b) 1125 Hz (c) 281 Hz (d) 398 Hz [29] A high-pass π-connected symmetrical filter section has a capacitance of 5000 pF in its series arm and inductances of 500 μH in each of its shunt arms. The cutoff frequency of the filter is (a) 201.3 kHz (b) 71.18 kHz (c) 50.33 kHz (d) 284.7 kHz [30] A network designed to pass signals at frequencies above a specified cut-off frequency is called a (a) low-pass filter (b) high-pass filter (c) band-pass filter (d) band-stop filter [31] A network designed to pass signals at frequencies below a specified cut-off frequency is called a (a) low-pass filter (b) high-pass filter (c) band-pass filter (d) band-stop filter [32] A network designed to pass signals with frequencies between two specified cut-off frequencies is called a (a) low-pass filter (b) high-pass filter (c) band-pass filter (d) band-stop filter The following refers to questions 9 and 10. A filter section is to have a nominal impedance of 620 and a cut-off frequency of 2 MHz. [33] A low-pass T-connected symmetrical filter section is comprised of (a) 98.68 μH in each series arm, 128.4 pF in shunt arm (b) 49.34 μH in each series arm, 256.7 pF in shunt arm (c) 98.68 μH in each series arm, 256.7 pF in shunt arm (d) 49.34 μH in each series arm, 128.4 pF in shunt arm [34] A low-pass π-connected symmetrical filter section is comprised of (a) 98.68 μH in each series arm, 128.4 pF in shunt arm (b) 49.34 μH in each series arm, 256.7 pF in shunt arm (c) 98.68 μH in each series arm, 256.7 pF in shunt arm (d) 49.34 μH in each series arm, 128.4 pF in shunt arm [35] An open loop system represented by the transfer function G(s) = (s-1) / (s+2)(s+3) is (a) Stable and of the minimum phase type (b) Stable and of the non-minimum phase type (c) Unstable and of the minimum phase type (d) Unstable and of the non-minimum phase type [36] The open loop transfer function G(s) of a unity feedback control system is given as, G(s) = [ k(s+2/3) / s2(s+2) ] From the root locus, it can be inferred that when k tends to positive infinity, (a) Three roots with nearly equal real parts exist on the left half of the s-plane (b) One real root is found on the right half of the s-plane (c) The root loci cross the jω axis for a finite value of k; k≠0 (d) Three real roots are found on the right half of the s-plane [37] Given that then the value of A3 is (a) 15A+12I (b) 19A+30I (c) 17A+15I (d) 17A+21I [38] The matrix [A]= is decomposed into a product of a lower triangular matrix [L] and an upper triangular matrix [U]. The properly decomposed[L] and [U] matrices respectively are............The options A,B,C,D are given below. a) b) c) d) [39] The input x(t) of a system are related as y(t) = ∫t-∞ x(τ)cos(3τ)dτ. The system is (a) Time-invariant and stable (b) Stable and not time-invariant (c) Time-invariant and not stable (d) Not time-invariant and not stable [40]The feedback system shown below oscillates at 2 rad/s when (a) k=2 and a=0.75 (b) k=3 and a=0.75 (c) k=4 and a=0.5 (d) k=2 and a=0.5 [41] The Fourier transform of a signal h(t) is H(jω) = (2cosω)(sin2ω)/ω. The value of h(0) is (a) 1/4 (b) 1/2 (c) 1 (d) 2 [42] The state variable description of an LTI system is given by where y is the output and u is the input.The system is controllable for, (a) a1≠0,a2=0,a3≠0 (b) a1=0,a2=0,a3≠0 (c) a1=0,a2=0,a3=0 (d) a1≠0,a2≠0,a3=0 [43] The state transition diagram for the logic circuit shown is [44] If an induction machine is run at above synchronous speed, it acts as [Gate 1997] (a) A synchronous motor (b) An induction generator (c) An induction motor (d) None of the above [45] The differentiator has a transfer function whose (a) Phase increases linearly with frequency (b) Amplitude remains constant (c) Amplitude increases linearly with frequency (d) Amplitude decreases linearly with frequency [46] Introduction of integral action in the forward path of a unity feedback system results in a (a) Marginally stable system (b) System with no steady state error (c) System with increase stability margin (d) System with better speed of response [47] The crawling in an induction motor is caused by (a) Improper design of the machine (b) Low voltage supply (c) High loads (d) Harmonics developed in the motor [48] The speed of an induction motor (a) Decreases too much with the increase of load (b) Increase with the increase of load (c) Decreases slightly with the increase of load (d) Remains constant with the increase of load [49] The effect of increasing the length of the air gap in an induction motor will increase (a) Power factor (b) Speed (c) Magnetising current (d) Air-gap flux [50] the difference between the synchronous speed and the actual speed of an induction motor is known as (a) Regulation (b) Back lash (c) Slip (d) Lag [51] Rotating magnetic field is produced in a.... (a) Single - phase induction motor (b) Three phase induction motor (c) DC series motor (d) AC series motor [52] The stator core of the induction motor is made of (a) Laminated cast iron (b) Mild steel (c) Silicon steel stampings (d) Soft wood [53] Star- delta starter of an induction motor (a) Inserts resistance in rotor circuit (b) Inserts resistance in stator circuit (c) Applies reduced voltage to rotor (d) Applies reduced voltage to stator [54] The starting torque of a 1-phase induction motor is (a) High (b) Medium (c) Low (d) Zero [55] The thrust developed by a linear induction motor depends on (a) Synchronous speed (b) Rotor input (c) Number of poles (d) Both A and B [56] A 3-phase squirrel cage induction motor supplied from a balanced 3-phase source drives a mechanical load. The torque-speed characteristics of the motor (solid curve) and of the load (dotted curve) are shown. Of the two equilibrium points A and B, which of the following options correctly describes the stability of A and B? [GATE 2009] (a) A is stable B is unstable (b) A is unstable B is stable (c) Both are stable (d) Both are unstable 57. Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive? A. 75000 B. 70000 C. 72000 D. 78000 58. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit. A. 2660 B. 1000 C. 2300 D. 4000 59. Ayisha's age is 1/6th of her father's age. Ayisha 's father's age will be twice the age of Shankar's age after 10 years. If Shankar's eight birthdays was celebrated two years before, then what is Ayisha 's present age. A. 10 years B. 12 years C. 8 years D. 5 years 60 My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then what was the age my father when my brother was born? A. 35 years B. 34 years C. 33 years D. 32 years 61. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is : A. Rs. 700 B. Rs. 690 C. Rs. 650 D. Rs. 698 62. There is 80% increase in an amount in 8 years at simple interest. What will be the compound interest of Rs. 14,000 after 3 years at the same rate? A. Rs.3794 B. Rs.3714 C. Rs.4612 D. Rs.4634 63. A jogger is running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 meters long train . The train is running at 45 kmph in the same direction. how much time does it take for the train to pass the jogger? A. 46 B. 36 C. 18 D. 22 64. A train overtakes two persons who are walking in the same direction to that of the train at 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. What is the length of the train? A. 62 m B. 54 m C. 50 m D. 55 m 65. Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? A. Rs. 15 B. Rs. 12.10 C. Rs. 19.70 D. Rs. 16.80 66.What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit? A. 2023% B. 20% C. 21% D. 2223% 67. An observer 2 m tall is 103√ m away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The height of the tower is: A. None of these B. 12 m C. 14 m D. 10 m 68. Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is: A. 300 m B. 173 m C. 273 m D. 200 m 69.If a+b : b+c : c+a = 6 : 7 : 8 and a + b + c = 14, then the value of c is : . [C.B.I. 1993] A.6 B.7 C.8 D.14 70.Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps? A.10:5. C.20:2 B.15:2 . D.20:2 71.In the series 0,3,8,15,____ what is the next number? a)24 b)25 c)23 d)18 72.Find next in series 31,29,31,30,31,? a)30 b)31 c)29 c)32 73.Find average of all nos. which lies b/w 1 and 100 & r divisible by 7 a)52 b)54 c)52.5 d)55 74.The average age of boys in the class is twice the number of girls in the class. If the ratio of boys and girls in the class of 36 be 5 : 1, what is the total of the ages (in years) of the boys in the class. a)490 b)420 c)196 d)360 75.Snehs age is1/6 th of her fathers age. Snehs fathers age will be twice of Vimals age after 10 years. If Vimals eighth birthday was celebrated two years before, then what is Snehs present age? a)24 years b)6.66 years c)30 years d)5 years 76.The age of father 10 years ago was thrice the age of his son. Ten years hence, the father’s age will be twice that of his son. The ratio of their present ages is: a)5 : 2 b)7 : 3 c)9 : 2 d)13 : 4 77.X, Y and Z share a sum of money in the ratio 7 : 8 : 16. If Z receives Rs. 27 more than X, then the total money shared was: a)Rs. 48 b)Rs. 279 c)Rs. 93 d)Rs. 558 78.If 15% of x is the same as 20% of y, then x : y is :. [C.B.I. 1990] a)3 : 4 b)17 : 16 c)4 : 3 d)16 : 17 79. A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? A. 12 B. 1021 C. 911 D. 711 80. There are 10 prizes and 25 blanks in a lottery. If John has taken a lottery, what is the probability for him to get a prize? A. 47 B. 37 C. 27 D. 17